Artículo

Baron, W.H.; Fernández-Melgarejo, J.J.; Marqués, D.; Nuñez, C.A. "The Odd story of α′-corrections" (2017) Journal of High Energy Physics. 2017(4)
Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The α′-deformed frame-like Double Field Theory (DFT) is a T-duality and gauge invariant extension of DFT in which generalized Green-Schwarz transformations provide a gauge principle that fixes the higher-derivative corrections. It includes all the first order α′-corrections of the bosonic and heterotic string low energy effective actions and of the Hohm-Siegel-Zwiebach α′-geometry. Here we gauge this theory and parameterize it in terms of a frame, a two-form, a dilaton, gauge vectors and scalar fields. This leads to a unified framework that extends the previous construction by including all duality constrained interactions in generic (gauged/super)gravity effective field theories in arbitrary number of dimensions, to first order in α′. © 2017, The Author(s).

Registro:

Documento: Artículo
Título:The Odd story of α′-corrections
Autor:Baron, W.H.; Fernández-Melgarejo, J.J.; Marqués, D.; Nuñez, C.A.
Filiación:Instituto de Física La Plata (CONICET-UNLP), La Plata, Buenos Aires, Argentina
Departamento de Física, Universidad Nacional de La Plata, La Plata, Buenos Aires, Argentina
Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan
Departamento de Física, Universidad de Murcia, Murcia, E-30100, Spain
Instituto de Astronomía y Física del Espacio (IAFE-CONICET-UBA), Ciudad Universitaria, Buenos Aires, Argentina
Departamento de Física, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina
Palabras clave:Flux compactifications; Supergravity Models; Superstrings and Heterotic Strings
Año:2017
Volumen:2017
Número:4
DOI: http://dx.doi.org/10.1007/JHEP04(2017)078
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:http://digital.bl.fcen.uba.ar/collection/paper/document/paper_11266708_v2017_n4_p_Baron

Referencias:

  • Siegel, W., Superspace duality in low-energy superstrings (1993) Phys. Rev., 500, p. 2826. , [hep-th/9305073] [INSPIRE]
  • Siegel, W., Two vierbein formalism for string inspired axionic gravity (1993) Phys. Rev., 500, p. 5453. , [hep-th/9302036] [INSPIRE]
  • Hull, C., Zwiebach, B., Double field theory (2009) JHEP, 9, p. 099. , [arXiv:0904.4664] [INSPIRE]
  • Hull, C., Zwiebach, B., The Gauge algebra of double field theory and Courant brackets (2009) JHEP, 9, p. 090. , [arXiv:0908.1792] [INSPIRE]
  • Hohm, O., Hull, C., Zwiebach, B., Background independent action for double field theory (2010) JHEP, 7, p. 016. , [arXiv:1003.5027] [INSPIRE]
  • Hohm, O., Hull, C., Zwiebach, B., Generalized metric formulation of double field theory (2010) JHEP, 8, p. 008. , [arXiv:1006.4823] [INSPIRE]
  • Aldazabal, G., Marques, D., Núñez, C., Double field theory: a pedagogical review (2013) Class. Quant. Grav., 30, p. 163001. , [arXiv:1305.1907] [INSPIRE]
  • Hohm, O., Lüst, D., Zwiebach, B., The spacetime of double field theory: review, remarks and outlook (2013) Fortsch. Phys., 61, p. 926. , [arXiv:1309.2977] [INSPIRE]
  • Berman, D.S., Thompson, D.C., Duality symmetric string and M-theory (2014) Phys. Rept., 566, p. 1. , [arXiv:1306.2643] [INSPIRE]
  • Hohm, O., Kwak, S.K., N = 1 supersymmetric double field theory (2012) JHEP, 3, p. 080. , [arXiv:1111.7293] [INSPIRE]
  • Jeon, I., Lee, K., Park, J.-H., Supersymmetric double field theory: stringy reformulation of supergravity (2012) Phys. Rev. D, 85, p. 81501
  • Jeon, I., Lee, K., Park, J.-H., Supersymmetric double field theory: stringy reformulation of supergravity (2012) Phys. Rev. D, 86, p. 89903
  • Hohm, O., Kwak, S.K., Double field theory formulation of heterotic strings (2011) JHEP, 6, p. 096. , [arXiv:1103.2136] [INSPIRE]
  • Hohm, O., Kwak, S.K., Zwiebach, B., Double field theory of Type II strings (2011) JHEP, 9, p. 013. , [arXiv:1107.0008] [INSPIRE]
  • Jeon, I., Lee, K., Park, J.-H., Suh, Y., Stringy unification of Type IIA and IIB supergravities under N = 2 D = 10 supersymmetric double field theory (2013) Phys. Lett., B 723, p. 245. , [arXiv:1210.5078] [INSPIRE]
  • Hull, C.M., Generalised geometry for M-theory (2007) JHEP, 7, p. 079. , [hep-th/0701203] [INSPIRE]
  • Pires Pacheco, P., Waldram, D., M-theory, exceptional generalised geometry and superpotentials (2008) JHEP, 9, p. 123. , [arXiv:0804.1362] [INSPIRE]
  • Berman, D.S., Perry, M.J., Generalized geometry and M-theory (2011) JHEP, 6, p. 074. , [arXiv:1008.1763] [INSPIRE]
  • Coimbra, A., Strickland-Constable, C., Waldram, D., Supergravity as generalised geometry II: Ed(d)×ℝ+ and M-theory (2014) JHEP, 3, p. 019. , [arXiv:1212.1586] [INSPIRE]
  • Berman, D.S., Cederwall, M., Kleinschmidt, A., Thompson, D.C., The gauge structure of generalised diffeomorphisms (2013) JHEP, 1, p. 064. , [arXiv:1208.5884] [INSPIRE]
  • Hohm, O., Samtleben, H., Exceptional field theory I: E 6(6) covariant Form of M-theory and Type IIB (2014) Phys. Rev., 500, p. 066016. , [arXiv:1312.0614] [INSPIRE]
  • Hohm, O., Samtleben, H., Exceptional field theory. II. E 7(7) (2014) Phys. Rev. D, 89, p. 66017
  • West, P., A brief review of E theory (2016) Int. J. Mod. Phys., A 31, p. 1630043. , [arXiv:1609.06863] [INSPIRE]
  • Jeon, I., Lee, K., Park, J.-H., Differential geometry with a projection: application to double field theory (2011) JHEP, 4, p. 014. , [arXiv:1011.1324] [INSPIRE]
  • Jeon, I., Lee, K., Park, J.-H., Stringy differential geometry, beyond Riemann (2011) Phys. Rev., 500, p. 044022. , [arXiv:1105.6294] [INSPIRE]
  • Coimbra, A., Strickland-Constable, C., Waldram, D., Supergravity as generalised geometry I: Type II theories (2011) JHEP, 11, p. 091. , [arXiv:1107.1733] [INSPIRE]
  • Hohm, O., Zwiebach, B., On the Riemann tensor in double field theory (2012) JHEP, 5, p. 126. , [arXiv:1112.5296] [INSPIRE]
  • Berman, D.S., Blair, C.D.A., Malek, E., Perry, M.J., The OD, D geometry of string theory (2014) Int. J. Mod. Phys., A 29, p. 1450080. , [arXiv:1303.6727] [INSPIRE]
  • Andriot, D., Hohm, O., Larfors, M., Lüst, D., Patalong, P., Non-geometric fluxes in supergravity and double field theory (2012) Fortsch. Phys., 60, p. 1150. , [arXiv:1204.1979] [INSPIRE]
  • Andriot, D., Betz, A., β-supergravity: a ten-dimensional theory with non-geometric fluxes and its geometric framework (2013) JHEP, 12, p. 83
  • Blumenhagen, R., Deser, A., Plauschinn, E., Rennecke, F., Schmid, C., The intriguing structure of non-geometric frames in string theory (2013) Fortsch. Phys., 61, p. 893. , [arXiv:1304.2784] [INSPIRE]
  • Heller, M.A., Ikeda, N., Watamura, S., Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds (2017) JHEP, 2, p. 078. , [arXiv:1611.08346] [INSPIRE]
  • Lee, K., Rey, S.-J., Sakatani, Y., Effective action for non-geometric fluxes from duality covariant actions
  • Hohm, O., Zwiebach, B., Large gauge transformations in double field theory (2013) JHEP, 2, p. 075. , [arXiv:1207.4198] [INSPIRE]
  • Park, J.-H., Comments on double field theory and diffeomorphisms (2013) JHEP, 6, p. 098. , [arXiv:1304.5946] [INSPIRE]
  • Berman, D.S., Cederwall, M., Perry, M.J., Global aspects of double geometry (2014) JHEP, 9, p. 066. , [arXiv:1401.1311] [INSPIRE]
  • Papadopoulos, G., Seeking the balance: patching double and exceptional field theories (2014) JHEP, 10, p. 089. , [arXiv:1402.2586] [INSPIRE]
  • Hull, C.M., Finite gauge transformations and geometry in double field theory (2015) JHEP, 4, p. 109. , [arXiv:1406.7794] [INSPIRE]
  • Naseer, U., A note on large gauge transformations in double field theory (2015) JHEP, 6, p. 002. , [arXiv:1504.05913] [INSPIRE]
  • Rey, S.-J., Sakatani, Y., Finite transformations in doubled and exceptional space
  • Berkeley, J., Berman, D.S., Rudolph, F.J., Strings and branes are waves (2014) JHEP, 6, p. 006. , [arXiv:1403.7198] [INSPIRE]
  • Berman, D.S., Rudolph, F.J., Branes are waves and monopoles (2015) JHEP, 5, p. 015. , [arXiv:1409.6314] [INSPIRE]
  • Bakhmatov, I., Kleinschmidt, A., Musaev, E.T., Non-geometric branes are DFT monopoles (2016) JHEP, 10, p. 076. , [arXiv:1607.05450] [INSPIRE]
  • Aldazabal, G., Graña, M., Iguri, S., Mayo, M., Nuñez, C., Rosabal, J.A., Enhanced gauge symmetry and winding modes in double field theory (2016) JHEP, 3, p. 093. , [arXiv:1510.07644] [INSPIRE]
  • Aldazabal, G., Mayo, M., Nuñez, C., Probing the string winding sector (2017) JHEP, 3, p. 096. , [arXiv:1611.04927] [INSPIRE]
  • Aldazabal, G., Baron, W., Marques, D., Núñez, C., The effective action of double field theory (2011) JHEP, 11, p. 52
  • Aldazabal, G., Baron, W., Marques, D., Núñez, C., The effective action of double field theory (2011) JHEP, 11, p. 109
  • Geissbuhler, D., Double field theory and N = 4 gauged supergravity (2011) JHEP, 11, p. 116. , [arXiv:1109.4280] [INSPIRE]
  • Hull, C.M., A geometry for non-geometric string backgrounds (2005) JHEP, 10, p. 065. , [hep-th/0406102] [INSPIRE]
  • Samtleben, H., Lectures on gauged supergravity and flux compactifications (2008) Class. Quant. Grav., 25, p. 214002. , [arXiv:0808.4076] [INSPIRE]
  • Trigiante, M., Gauged supergravities
  • Schon, J., Weidner, M., Gauged N = 4 supergravities (2006) JHEP, 5, p. 034. , [hep-th/0602024] [INSPIRE]
  • Scherk, J., Schwarz, J.H., How to get masses from extra dimensions (1979) Nucl. Phys., B 153, p. 61. , [INSPIRE]
  • Kaloper, N., Myers, R.C., The odd story of massive supergravity (1999) JHEP, 5, p. 010. , [hep-th/9901045] [INSPIRE]
  • Graña, M., Marques, D., Gauged double field theory (2012) JHEP, 4, p. 020. , [arXiv:1201.2924] [INSPIRE]
  • Hohm, O., Kwak, S.K., Frame-like geometry of double field theory (2011) J. Phys., A 44, p. 085404. , [arXiv:1011.4101] [INSPIRE]
  • Geissbuhler, D., Marques, D., Núñez, C., Penas, V., Exploring double field theory (2013) JHEP, 6, p. 101. , [arXiv:1304.1472] [INSPIRE]
  • Dibitetto, G., Fernandez-Melgarejo, J.J., Marques, D., Roest, D., Duality orbits ofnon-geometric fluxes (2012) Fortsch. Phys., 60, p. 1123
  • Lee, K., Strickland-Constable, C., Waldram, D., New gaugings and non-geometry
  • Lee, K., Strickland-Constable, C., Waldram, D., Spheres, generalised parallelisability and consistent truncations
  • Berman, D.S., Lee, K., Supersymmetry for gauged double field theory and generalised Scherk-Schwarz reductions (2014) Nucl. Phys., B 881, p. 369. , [arXiv:1305.2747] [INSPIRE]
  • Blumenhagen, R., Hassler, F., Lüst, D., Double field theory on group manifolds (2015) JHEP, 2, p. 001. , [arXiv:1410.6374] [INSPIRE]
  • du Bosque, P., Hassler, F., Lüst, D., Flux formulation of DFT on group manifolds and generalized Scherk-Schwarz compactifications (2016) JHEP, 2, p. 039. , [arXiv:1509.04176] [INSPIRE]
  • Blumenhagen, R., Font, A., Plauschinn, E., Relating double field theory to the scalar potential of N = 2 gauged supergravity (2015) JHEP, 12, p. 122. , [arXiv:1507.08059] [INSPIRE]
  • Cho, W., Fernández-Melgarejo, J.J., Jeon, I., Park, J.-H., Supersymmetric gauged double field theory: systematic derivation by virtue of twist (2015) JHEP, 8, p. 084. , [arXiv:1505.01301] [INSPIRE]
  • Malek, E., Samtleben, H., Dualising consistent IIA/IIB truncations (2015) JHEP, 12, p. 029. , [arXiv:1510.03433] [INSPIRE]
  • Baguet, A., Pope, C.N., Samtleben, H., Consistent Pauli reduction on group manifolds (2016) Phys. Lett., B 752, p. 278. , [arXiv:1510.08926] [INSPIRE]
  • Bergshoeff, E.A., Hohm, O., Penas, V.A., Riccioni, F., Dual double field theory (2016) JHEP, 6, p. 026. , [arXiv:1603.07380] [INSPIRE]
  • Ciceri, F., Dibitetto, G., Fernandez-Melgarejo, J.J., Guarino, A., Inverso, G., Double field theory at SL(2) angles
  • Blair, C.D.A., Malek, E., Geometry and fluxes of SL(5) exceptional field theory (2015) JHEP, 3, p. 144. , [arXiv:1412.0635] [INSPIRE]
  • Baron, W.H., Dall’Agata, G., Uplifting non-compact gauged supergravities (2015) JHEP, 2, p. 003. , [arXiv:1410.8823] [INSPIRE]
  • Hohm, O., Samtleben, H., Consistent Kaluza-Klein truncations via exceptional field theory (2015) JHEP, 1, p. 131. , [arXiv:1410.8145] [INSPIRE]
  • Baron, W.H., Gaugings from E 7(7) extended geometries (2015) Phys. Rev., 500, p. 024008. , [arXiv:1404.7750] [INSPIRE]
  • Hassler, F., Lüst, D., Consistent compactification of double field theory on non-geometric flux backgrounds (2014) JHEP, 5, p. 085. , [arXiv:1401.5068] [INSPIRE]
  • Aldazabal, G., Graña, M., Marqués, D., Rosabal, J.A., The gauge structure of exceptional field theories and the tensor hierarchy (2014) JHEP, 4, p. 049. , [arXiv:1312.4549] [INSPIRE]
  • Aldazabal, G., Graña, M., Marqués, D., Rosabal, J.A., Extended geometry and gauged maximal supergravity (2013) JHEP, 6, p. 046. , [arXiv:1302.5419] [INSPIRE]
  • Musaev, E.T., Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions (2013) JHEP, 5, p. 161. , [arXiv:1301.0467] [INSPIRE]
  • Berman, D.S., Musaev, E.T., Thompson, D.C., Thompson, D.C., Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions (2012) JHEP, 10, p. 174. , [arXiv:1208.0020] [INSPIRE]
  • Malek, E., From exceptional field theory to heterotic double field theory via K3 (2017) JHEP, 3, p. 057. , [arXiv:1612.01990] [INSPIRE]
  • Hohm, O., On background independence and duality invariance in string theory (2017) Phys. Rev. Lett., 118, p. 131601. , [arXiv:1612.03966] [INSPIRE]
  • Hohm, O., Background independent double field theory at order α ′: metric vs. frame-like geometry (2017) Phys. Rev. D, 95, p. 66018
  • Hohm, O., Siegel, W., Zwiebach, B., Doubled α ′ -geometry (2014) JHEP, 2, p. 065. , [arXiv:1306.2970] [INSPIRE]
  • Hohm, O., Zwiebach, B., Green-Schwarz mechanism and α ′ -deformed Courant brackets (2015) JHEP, 1, p. 012. , [arXiv:1407.0708] [INSPIRE]
  • Hohm, O., Zwiebach, B., Double field theory at order α ′ (2014) JHEP, 11, p. 075. , [arXiv:1407.3803] [INSPIRE]
  • Hohm, O., Zwiebach, B., Double metric, generalized metric and α ′ -deformed double field theory (2016) Phys. Rev., 500, p. 064035. , [arXiv:1509.02930] [INSPIRE]
  • Hohm, O., Zwiebach, B., T-duality constraints on higher derivatives revisited (2016) JHEP, 4, p. 101. , [arXiv:1510.00005] [INSPIRE]
  • Naseer, U., Zwiebach, B., Three-point functions in duality-invariant higher-derivative gravity (2016) JHEP, 3, p. 147. , [arXiv:1602.01101] [INSPIRE]
  • Hohm, O., Naseer, U., Zwiebach, B., On the curious spectrum of duality invariant higher-derivative gravity (2016) JHEP, 8, p. 173. , [arXiv:1607.01784] [INSPIRE]
  • Lescano, E., Marques, D., Second order higher-derivative corrections in double field theory
  • Marques, D., Núñez, C.A., T-duality and α ′ -corrections (2015) JHEP, 10, p. 084. , [arXiv:1507.00652] [INSPIRE]
  • Bedoya, O.A., Marques, D., Núñez, C., Heterotic α’-corrections in double field theory (2014) JHEP, 12, p. 074. , [arXiv:1407.0365] [INSPIRE]
  • Coimbra, A., Minasian, R., Triendl, H., Waldram, D., Generalised geometry for string corrections (2014) JHEP, 11, p. 160. , [arXiv:1407.7542] [INSPIRE]
  • Lee, K., Quadratic α ′ -corrections to heterotic double field theory (2015) Nucl. Phys., B 899, p. 594. , [arXiv:1504.00149] [INSPIRE]
  • Godazgar, H., Godazgar, M., Duality completion of higher derivative corrections (2013) JHEP, 9, p. 140. , [arXiv:1306.4918] [INSPIRE]
  • Garousi, M.R., Duality constraints on effective actions
  • Gautason, F.F., Junghans, D., Zagermann, M., On cosmological constants from α ′ -corrections (2012) JHEP, 6, p. 029. , [arXiv:1204.0807] [INSPIRE]
  • Kutasov, D., Maxfield, T., Melnikov, I., Sethi, S., Constraining de Sitter space in string theory (2015) Phys. Rev. Lett., 115, p. 071305. , [arXiv:1504.00056] [INSPIRE]
  • Meissner, K.A., Symmetries of higher order string gravity actions (1997) Phys. Lett., B 392, p. 298. , [hep-th/9610131] [INSPIRE]
  • Buscher, T.H., Path integral derivation of quantum duality in nonlinear σ-models (1988) Phys. Lett., B 201, p. 466. , [INSPIRE]
  • Buscher, T.H., A symmetry of the string background field equations (1987) Phys. Lett., B 194, p. 59. , [INSPIRE]
  • Green, M.B., Schwarz, J.H., Anomaly cancellation in supersymmetric D = 10 gauge theory and superstring theory (1984) Phys. Lett., B 149, p. 117. , [INSPIRE]
  • Bergshoeff, E., de Roo, M., Supersymmetric Chern-Simons terms in ten-dimensions (1989) Phys. Lett., B 218, p. 210. , [INSPIRE]
  • Bergshoeff, E.A., de Roo, M., The quartic effective action of the heterotic string and supersymmetry (1989) Nucl. Phys., B 328, p. 439. , [INSPIRE]
  • Metsaev, R.R., Tseytlin, A.A., Order α ′ (two loop) equivalence of the string equations of motion and the σ-model Weyl invariance conditions: dependence on the dilaton and the antisymmetric tensor (1987) Nucl. Phys., B 293, p. 385. , [INSPIRE]
  • Maldacena, J.M., Núñez, C., Supergravity description of field theories on curved manifolds and a no go theorem (2001) Int. J. Mod. Phys., A 16, p. 822. , [hep-th/0007018] [INSPIRE]
  • Balasubramanian, V., Berglund, P., Conlon, J.P., Quevedo, F., Systematics of moduli stabilisation in Calabi-Yau flux compactifications (2005) JHEP, 3, p. 007. , [hep-th/0502058] [INSPIRE]
  • Anguelova, L., Quigley, C., Quantum corrections to heterotic moduli potentials (2011) JHEP, 2, p. 113. , [arXiv:1007.5047] [INSPIRE]
  • Peeters, K., Introducing Cadabra: a symbolic computer algebra system for field theory problems
  • Dibitetto, G., Fernández-Melgarejo, J.J., Marqués, D., All gaugings and stable de Sitter in D = 7 half-maximal supergravity (2015) JHEP, 11, p. 037. , [arXiv:1506.01294] [INSPIRE]
  • Samtleben, H., Weidner, M., The maximal D = 7 supergravities (2005) Nucl. Phys., B 725, p. 383. , [hep-th/0506237] [INSPIRE]
  • Dibitetto, G., Guarino, A., Roest, D., Charting the landscape of N = 4 flux compactifications (2011) JHEP, 3, p. 137. , [arXiv:1102.0239] [INSPIRE]
  • Aldazabal, G., Marques, D., Núñez, C., Rosabal, J.A., On type IIB moduli stabilization and N = 4, 8 supergravities (2011) Nucl. Phys., B 849, p. 80. , [arXiv:1101.5954] [INSPIRE]
  • Dibitetto, G., Guarino, A., Roest, D., How to halve maximal supergravity (2011) JHEP, 6, p. 030. , [arXiv:1104.3587] [INSPIRE]

Citas:

---------- APA ----------
Baron, W.H., Fernández-Melgarejo, J.J., Marqués, D. & Nuñez, C.A. (2017) . The Odd story of α′-corrections. Journal of High Energy Physics, 2017(4).
http://dx.doi.org/10.1007/JHEP04(2017)078
---------- CHICAGO ----------
Baron, W.H., Fernández-Melgarejo, J.J., Marqués, D., Nuñez, C.A. "The Odd story of α′-corrections" . Journal of High Energy Physics 2017, no. 4 (2017).
http://dx.doi.org/10.1007/JHEP04(2017)078
---------- MLA ----------
Baron, W.H., Fernández-Melgarejo, J.J., Marqués, D., Nuñez, C.A. "The Odd story of α′-corrections" . Journal of High Energy Physics, vol. 2017, no. 4, 2017.
http://dx.doi.org/10.1007/JHEP04(2017)078
---------- VANCOUVER ----------
Baron, W.H., Fernández-Melgarejo, J.J., Marqués, D., Nuñez, C.A. The Odd story of α′-corrections. J. High Energy Phys. 2017;2017(4).
http://dx.doi.org/10.1007/JHEP04(2017)078