Artículo

Bianchi, M.S.; Griguolo, L.; Leoni, M.; Mauri, A.; Penati, S.; Seminara, D. "The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories" (2016) Journal of High Energy Physics. 2016(9)
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:

In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones. © 2016, The Author(s).

Registro:

Documento: Artículo
Título:The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories
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:Chern-Simons Theories; Matrix Models; Wilson, ’t Hooft and Polyakov loops
Año:2016
Volumen:2016
Número:9
DOI: http://dx.doi.org/10.1007/JHEP09(2016)009
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_n9_p_Bianchi

Referencias:

  • 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]
  • 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., Exact results for Wilson loops in orbifold ABJM theory (2016) Chin. Phys., 100, p. 083101. , [arXiv:1507.00442] [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]
  • Ouyang, H., Wu, J.-B., Zhang, J.-J., Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories (2016) Nucl. Phys., B 910, p. 496. , [arXiv:1511.02967] [INSPIRE]
  • Gaiotto, D., Witten, E., Janus configurations, Chern-Simons couplings, and the theta-angle in N = 4 super Yang-Mills theory (2010) JHEP, 6, p. 097. , [arXiv:0804.2907] [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]
  • Pestun, V., Localization of gauge theory on a four-sphere and supersymmetric Wilson loops (2012) Commun. Math. Phys., 313, p. 71. , [arXiv:0712.2824] [INSPIRE]
  • Drukker, N., Trancanelli, D., A supermatrix model for N = 6 super Chern-Simons-matter theory (2010) JHEP, 2, p. 058. , [arXiv:0912.3006] [INSPIRE]
  • Aharony, O., Bergman, O., Jafferis, D.L., Maldacena, J., N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals (2008) JHEP, 10, p. 091. , [arXiv:0806.1218] [INSPIRE]
  • Aharony, O., Bergman, O., Jafferis, D.L., Fractional M2-branes (2008) JHEP, 11, p. 043. , [arXiv:0807.4924] [INSPIRE]
  • Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D., Framing and localization in Chern-Simons theories with matter (2016) JHEP, 6, p. 133. , [arXiv:1604.00383] [INSPIRE]
  • 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., Putrov, P., Interacting fermions and N = 2 Chern-Simons-matter theories (2013) JHEP, 11, p. 199. , [arXiv:1206.6346] [INSPIRE]
  • Witten, E., Quantum field theory and the Jones polynomial (1989) Commun. Math. Phys., 121, p. 351. , [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., A note on multiply wound BPS Wilson loops in ABJM
  • Chen, W., Semenoff, G.W., Wu, Y.-S., Two loop analysis of nonAbelian Chern-Simons theory (1992) Phys. Rev., 500, p. 5521. , [hep-th/9209005] [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., 500, 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]
  • Benna, M., Klebanov, I., Klose, T., Smedback, M., Superconformal Chern-Simons Theories and AdS4/CFT3 correspondence (2008) JHEP, 9, p. 072. , [arXiv:0806.1519] [INSPIRE]
  • Mariño, M., Putrov, P., ABJM theory as a Fermi gas (2012) J. Stat. Mech., 1203. , [arXiv:1110.4066] [INSPIRE]
  • Imamura, Y., Kimura, K., N = 4 Chern-Simons theories with auxiliary vector multiplets (2008) JHEP, 10, p. 040. , [arXiv:0807.2144] [INSPIRE]

Citas:

---------- APA ----------
Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S. & Seminara, D. (2016) . The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories. Journal of High Energy Physics, 2016(9).
http://dx.doi.org/10.1007/JHEP09(2016)009
---------- CHICAGO ----------
Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. "The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories" . Journal of High Energy Physics 2016, no. 9 (2016).
http://dx.doi.org/10.1007/JHEP09(2016)009
---------- MLA ----------
Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. "The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories" . Journal of High Energy Physics, vol. 2016, no. 9, 2016.
http://dx.doi.org/10.1007/JHEP09(2016)009
---------- VANCOUVER ----------
Bianchi, M.S., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories. J. High Energy Phys. 2016;2016(9).
http://dx.doi.org/10.1007/JHEP09(2016)009