Navegar

Colección

Datos Estadísticas

Artículo

Bianchi, M.S.; Griguolo, L.; Leoni, M.; Mauri, A.; Penati, S.; Seminara, D. "Framing and localization in Chern-Simons theories with matter" (2016) Journal of High Energy Physics. 2016(6)
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:

Abstract: Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise. We investigate this problem by studying the expectation value of the 1/6 BPS Wilson loop in planar ABJ(M) theory at three loops in perturbation theory. We reproduce the corresponding term in the localization result and argue that it originates entirely from a non-trivial framing of the circular contour. Contrary to pure Chern-Simons theory, we point out that for ABJ(M) the framing phase is a non-trivial function of the couplings and that it potentially receives contributions from vertex-like diagrams. Finally, we briefly discuss the intimate link between the exact framing factor and the Bremsstrahlung function of the 1/2-BPS cusp. © 2016, The Author(s).

Registro:

Documento: Artículo
Título:Framing and localization in Chern-Simons theories with matter
Autor:Bianchi, M.S.; Griguolo, L.; Leoni, M.; Mauri, A.; Penati, S.; Seminara, D.
Filiación:Center for Research in String Theory — School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS, United Kingdom
Dipartimento di Fisica e Scienze della Terra, Università di Parma and INFN Gruppo Collegato di Parma, Viale G.P. Usberti 7/A, Parma, 43100, Italy
Physics Department, FCEyN-UBA & IFIBA-CONICET, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Dipartimento di Fisica, Università degli studi di Milano-Bicocca, Piazza della Scienza 3, Milano, I-20126, Italy
INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, Milano, I-20126, Italy
Dipartimento di Fisica, Università di Firenze and INFN Sezione di Firenze, via G. Sansone 1, Sesto Fiorentino, 50019, Italy
Palabras clave:AdS-CFT Correspondence; Chern-Simons Theories; Supersymmetric gauge theory; Wilson; ’t Hooft and Polyakov loops
Año:2016
Volumen:2016
Número:6
DOI: http://dx.doi.org/10.1007/JHEP06(2016)133
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2016_n6_p_Bianchi

Referencias:

  • Witten, E., Quantum field theory and the Jones polynomial (1989) Commun. Math. Phys., 121, p. 351. , [INSPIRE]
  • Guadagnini, E., Martellini, M., Mintchev, M., Wilson lines in Chern-Simons theory and link invariants (1990) Nucl. Phys., B 330, p. 575. , [INSPIRE]
  • Alvarez, M., Labastida, J.M.F., Analysis of observables in Chern-Simons perturbation theory (1993) Nucl. Phys., B 395, p. 198. , [hep-th/9110069] [INSPIRE]
  • Blasi, A., Collina, R., Finiteness of the Chern-Simons model in perturbation theory (1990) Nucl. Phys., B 345, p. 472. , [INSPIRE]
  • Delduc, F., Lucchesi, C., Piguet, O., Sorella, S.P., Exact scale invariance of the Chern-Simons theory in the Landau gauge (1990) Nucl. Phys., B 346, p. 313. , [INSPIRE]
  • Chen, W., Semenoff, G.W., Wu, Y.-S., Two loop analysis of non-Abelian Chern-Simons theory (1992) Phys. Rev., D 46, p. 5521. , [hep-th/9209005] [INSPIRE]
  • Guadagnini, E., Martellini, M., Mintchev, M., Perturbative aspects of the Chern-Simons field theory (1989) Phys. Lett., B 227, p. 111. , [INSPIRE]
  • Gaiotto, D., Yin, X., Notes on superconformal Chern-Simons-matter theories (2007) JHEP, 8, p. 056. , [arXiv:0704.3740] [INSPIRE]
  • Hosomichi, K., Lee, K.-M., Lee, S., Lee, S., Park, J., N = 4 superconformal Chern-Simons theories with hyper and twisted hyper multiplets (2008) JHEP, 7, p. 091. , [arXiv:0805.3662] [INSPIRE]
  • Aharony, O., Bergman, O., Jafferis, D.L., Maldacena, J., N = 6 superconformal Chern-Simons-matter theories, M 2-branes and their gravity duals (2008) JHEP, 10, p. 091. , [arXiv:0806.1218] [INSPIRE]
  • Aharony, O., Bergman, O., Jafferis, D.L., Fractional M 2-branes (2008) JHEP, 11, p. 043. , [arXiv:0807.4924] [INSPIRE]
  • Drukker, N., Plefka, J., Young, D., Wilson loops in 3-dimensional N = 6 supersymmetric Chern-Simons theory and their string theory duals (2008) JHEP, 11, p. 019. , [arXiv:0809.2787] [INSPIRE]
  • Chen, B., Wu, J.-B., Supersymmetric Wilson loops in N = 6 super Chern-Simons-matter theory (2010) Nucl. Phys., B 825, p. 38. , [arXiv:0809.2863] [INSPIRE]
  • Rey, S.-J., Suyama, T., Yamaguchi, S., Wilson loops in superconformal Chern-Simons theory and fundamental strings in anti-de Sitter supergravity dual (2009) JHEP, 3, p. 127. , [arXiv:0809.3786] [INSPIRE]
  • Mariño, M., Putrov, P., Exact results in ABJM theory from topological strings (2010) JHEP, 6, p. 011. , [arXiv:0912.3074] [INSPIRE]
  • Drukker, N., Mariño, M., Putrov, P., From weak to strong coupling in ABJM theory (2011) Commun. Math. Phys., 306, p. 511. , [arXiv:1007.3837] [INSPIRE]
  • Bianchi, M.S., Giribet, G., Leoni, M., Penati, S., 1/2 BPS Wilson loop in N = 6 superconformal Chern-Simons theory at two loops (2013) Phys. Rev., D 88, p. 026009. , [arXiv:1303.6939] [INSPIRE]
  • Bianchi, M.S., Giribet, G., Leoni, M., Penati, S., The 1/2 BPS Wilson loop in ABJ(M) at two loops: the details (2013) JHEP, 10, p. 085. , [arXiv:1307.0786] [INSPIRE]
  • Griguolo, L., Martelloni, G., Poggi, M., Seminara, D., Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 super Chern-Simons theories (2013) JHEP, 9, p. 157. , [arXiv:1307.0787] [INSPIRE]
  • Bianchi, M.S., Griguolo, L., Leoni, M., Penati, S., Seminara, D., BPS Wilson loops and bremsstrahlung function in ABJ(M): a two loop analysis (2014) JHEP, 6, p. 123. , [arXiv:1402.4128] [INSPIRE]
  • Correa, D., Henn, J., Maldacena, J., Sever, A., An exact formula for the radiation of a moving quark in N = 4 super Yang-Mills (2012) JHEP, 6, p. 048. , [arXiv:1202.4455] [INSPIRE]
  • Cardinali, V., Griguolo, L., Martelloni, G., Seminara, D., New supersymmetric Wilson loops in ABJ(M) theories (2012) Phys. Lett., B 718, p. 615. , [arXiv:1209.4032] [INSPIRE]
  • Griguolo, L., Marmiroli, D., Martelloni, G., Seminara, D., The generalized cusp in ABJ(M) N =6 super Chern-Simons theories (2013) JHEP, 5, p. 113. , [arXiv:1208.5766] [INSPIRE]
  • Forini, V., Puletti, V.G.M., Ohlsson Sax, O., The generalized cusp in AdS 4 × CP 3 and more one-loop results from semiclassical strings (2013) J. Phys., A 46, p. 115402. , [arXiv:1204.3302] [INSPIRE]
  • Aguilera-Damia, J., Correa, D.H., Silva, G.A., Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM (2015) JHEP, 3, p. 002. , [arXiv:1412.4084] [INSPIRE]
  • Klemm, A., Mariño, M., Schiereck, M., Soroush, M., Aharony-Bergman-Jafferis-Maldacena Wilson loops in the Fermi gas approach (2013) Z. Naturforsch., A 68, p. 178. , [arXiv:1207.0611] [INSPIRE]
  • M.S. Bianchi, to appear; Ouyang, H., Wu, J.-B., Zhang, J.-J., Supersymmetric Wilson loops in N = 4 super Chern-Simons-matter theory (2015) JHEP, 11, p. 213. , [arXiv:1506.06192] [INSPIRE]
  • Cooke, M., Drukker, N., Trancanelli, D., A profusion of 1/2 BPS Wilson loops in N = 4 Chern-Simons-matter theories (2015) JHEP, 10, p. 140. , [arXiv:1506.07614] [INSPIRE]
  • Ouyang, H., Wu, J.-B., Zhang, J.-J., Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories (2016) Phys. Lett., B 753, p. 215. , [arXiv:1510.05475] [INSPIRE]
  • Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D., Probing Wilson loops in N = 4 Chern-Simons-matter theories at weak coupling (2016) Phys. Lett., B 753, p. 500. , [arXiv:1510.08438] [INSPIRE]
  • H. Ouyang, J.-B. Wu and J.-J. Zhang, Construction of novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories, []; M.S. Bianchi, L. Griguolo, M. Leoni, A. Mauri, S. Penati and D. Seminara, in preparation; Kapustin, A., Willett, B., Yaakov, I., Exact results for Wilson loops in superconformal Chern-Simons theories with matter (2010) JHEP, 3, p. 089. , [arXiv:0909.4559] [INSPIRE]
  • Mariño, M., Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories (2011) J. Phys., A 44, p. 463001. , [arXiv:1104.0783] [INSPIRE]
  • G.V. Dunne, Aspects of Chern-Simons theory, []; Siegel, W., Supersymmetric dimensional regularization via dimensional reduction (1979) Phys. Lett., B 84, p. 193. , [INSPIRE]
  • Siegel, W., Inconsistency of supersymmetric dimensional regularization (1980) Phys. Lett., B 94, p. 37. , [INSPIRE]
  • Kapustin, A.N., Pronin, P.I., Nonrenormalization theorem for gauge coupling in (2 + 1)-dimensions (1994) Mod. Phys. Lett., A 9, p. 1925. , [hep-th/9401053] [INSPIRE]

Citas:

---------- APA ----------
Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S. & Seminara, D. (2016) . Framing and localization in Chern-Simons theories with matter. Journal of High Energy Physics, 2016(6).
http://dx.doi.org/10.1007/JHEP06(2016)133
---------- CHICAGO ----------
Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. "Framing and localization in Chern-Simons theories with matter" . Journal of High Energy Physics 2016, no. 6 (2016).
http://dx.doi.org/10.1007/JHEP06(2016)133
---------- MLA ----------
Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. "Framing and localization in Chern-Simons theories with matter" . Journal of High Energy Physics, vol. 2016, no. 6, 2016.
http://dx.doi.org/10.1007/JHEP06(2016)133
---------- VANCOUVER ----------
Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. Framing and localization in Chern-Simons theories with matter. J. High Energy Phys. 2016;2016(6).
http://dx.doi.org/10.1007/JHEP06(2016)133