Abstract
The holographic configurations dual to Wilson loops in higher rank representations in the ABJM theory are described by branes with electric flux along their world volumes. In particular, D2 and D6 branes with electric flux play a central role as potential dual to totally symmetric and totally antisymmetric representations, respectively. We compute the spectra of excitations of these brane configurations in both, the bosonic and fermionic sectors. We highlight a number of aspects that distinguish these configurations from their D3 and D5 cousins including new peculiar mixing terms in the fluctuations. We neatly organize the spectrum of fluctuations into the corresponding supermultiplets.
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O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, Commun. Math. Phys. 313 (2012) 71 [arXiv:0712.2824] [INSPIRE].
A. Klemm, M. Mariño, M. Schiereck and M. Soroush, Aharony-Bergman-Jafferis-Maldacena Wilson loops in the Fermi gas approach, Z. Naturforsch. A 68 (2013) 178 [arXiv:1207.0611] [INSPIRE].
S. Förste, D. Ghoshal and S. Theisen, Stringy corrections to the Wilson loop in N = 4 super Yang-Mills theory, JHEP 08 (1999) 013 [hep-th/9903042] [INSPIRE].
N. Drukker, D.J. Gross and A.A. Tseytlin, Green-Schwarz string in AdS 5 × S 5 : semiclassical partition function, JHEP 04 (2000) 021 [hep-th/0001204] [INSPIRE].
M. Sakaguchi and K. Yoshida, A semiclassical string description of Wilson loop with local operators, Nucl. Phys. B 798 (2008) 72 [arXiv:0709.4187] [INSPIRE].
M. Kruczenski and A. Tirziu, Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling, JHEP 05 (2008) 064 [arXiv:0803.0315] [INSPIRE].
C. Kristjansen and Y. Makeenko, More about one-loop effective action of open superstring in AdS 5 × S 5, JHEP 09 (2012) 053 [arXiv:1206.5660] [INSPIRE].
V. Forini, V. Giangreco M. Puletti, L. Griguolo, D. Seminara and E. Vescovi, Precision calculation of 1/4-BPS Wilson loops in AdS 5 × S 5, JHEP 02 (2016) 105 [arXiv:1512.00841] [INSPIRE].
A. Faraggi, L.A. Pando Zayas, G.A. Silva and D. Trancanelli, Toward precision holography with supersymmetric Wilson loops, JHEP 04 (2016) 053 [arXiv:1601.04708] [INSPIRE].
A. Faraggi and L.A. Pando Zayas, The spectrum of excitations of holographic Wilson loops, JHEP 05 (2011) 018 [arXiv:1101.5145] [INSPIRE].
A. Faraggi, W. Mueck and L.A. Pando Zayas, One-loop effective action of the holographic antisymmetric Wilson loop, Phys. Rev. D 85 (2012) 106015 [arXiv:1112.5028] [INSPIRE].
E.I. Buchbinder and A.A. Tseytlin, 1/N correction in the D3-brane description of a circular Wilson loop at strong coupling, Phys. Rev. D 89 (2014) 126008 [arXiv:1404.4952] [INSPIRE].
A. Faraggi, J.T. Liu, L.A. Pando Zayas and G. Zhang, One-loop structure of higher rank Wilson loops in AdS/CFT, Phys. Lett. B 740 (2015) 218 [arXiv:1409.3187] [INSPIRE].
N. Drukker, J. Plefka and D. Young, Wilson loops in 3-dimensional N = 6 supersymmetric Chern-Simons theory and their string theory duals, JHEP 11 (2008) 019 [arXiv:0809.2787] [INSPIRE].
B.E.W. Nilsson and C.N. Pope, Hopf fibration of eleven-dimensional supergravity, Class. Quant. Grav. 1 (1984) 499 [INSPIRE].
L. Martucci, J. Rosseel, D. Van den Bleeken and A. Van Proeyen, Dirac actions for D-branes on backgrounds with fluxes, Class. Quant. Grav. 22 (2005) 2745 [hep-th/0504041] [INSPIRE].
P. Benincasa and A.V. Ramallo, Fermionic impurities in Chern-Simons-matter theories, JHEP 02 (2012) 076 [arXiv:1112.4669] [INSPIRE].
J. McGreevy, L. Susskind and N. Toumbas, Invasion of the giant gravitons from anti-de Sitter space, JHEP 06 (2000) 008 [hep-th/0003075] [INSPIRE].
A. Hashimoto, S. Hirano and N. Itzhaki, Large branes in AdS and their field theory dual, JHEP 08 (2000) 051 [hep-th/0008016] [INSPIRE].
N. Drukker and B. Fiol, All-genus calculation of Wilson loops using D-branes, JHEP 02 (2005) 010 [hep-th/0501109] [INSPIRE].
J. Gomis and F. Passerini, Holographic Wilson loops, JHEP 08 (2006) 074 [hep-th/0604007] [INSPIRE].
J. Gomis and F. Passerini, Wilson loops as D3-branes, JHEP 01 (2007) 097 [hep-th/0612022] [INSPIRE].
N. Drukker and D. Trancanelli, A supermatrix model for N = 6 super Chern-Simons-matter theory, JHEP 02 (2010) 058 [arXiv:0912.3006] [INSPIRE].
V. Cardinali, L. Griguolo, G. Martelloni and D. Seminara, New supersymmetric Wilson loops in ABJ(M) theories, Phys. Lett. B 718 (2012) 615 [arXiv:1209.4032] [INSPIRE].
H. Ouyang, J.-B. Wu and J.-J. Zhang, Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories, Phys. Lett. B 753 (2016) 215 [arXiv:1510.05475] [INSPIRE].
H. Ouyang, J.-B. Wu and J.-J. Zhang, Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories, Nucl. Phys. B 910 (2016) 496 [arXiv:1511.02967] [INSPIRE].
E. Witten, Fermion quantum numbers in Kaluza-Klein theory, in Shelter Island II, Shelter Island, New York U.S.A. June 1–2 1983 [INSPIRE].
A. Ceresole, G. Dall’Agata and R. D’Auria, KK spectroscopy of type IIB supergravity on AdS 5 × T 11, JHEP 11 (1999) 009 [hep-th/9907216] [INSPIRE].
A. Van Proeyen, Tools for supersymmetry, in Proceedings, Spring School on Quantum Field Theory. Supersymmetries and Superstrings, volume 9, (1999), pg. I.1 [Ann. U. Craiova Phys. 9 (1999) 1] [hep-th/9910030] [INSPIRE].
M. Sakaguchi, H. Shin and K. Yoshida, Semiclassical analysis of M2-brane in AdS 4 × S 7 /Z k , JHEP 12 (2010) 012 [arXiv:1007.3354] [INSPIRE].
S.-J. Rey, T. Suyama and S. Yamaguchi, Wilson loops in superconformal Chern-Simons theory and fundamental strings in anti-de Sitter supergravity dual, JHEP 03 (2009) 127 [arXiv:0809.3786] [INSPIRE].
B. Chen and J.-B. Wu, Supersymmetric Wilson loops in N = 6 super Chern-Simons-matter theory, Nucl. Phys. B 825 (2010) 38 [arXiv:0809.2863] [INSPIRE].
M. Günaydin, G. Sierra and P.K. Townsend, The unitary supermultiplets of d = 3 anti-de Sitter and d = 2 conformal superalgebras, Nucl. Phys. B 274 (1986) 429 [INSPIRE].
H. Kim, N. Kim and J. Hun Lee, One-loop corrections to holographic Wilson loop in AdS 4 × CP 3, J. Korean Phys. Soc. 61 (2012) 713 [arXiv:1203.6343] [INSPIRE].
J. Aguilera-Damia, D.H. Correa and G.A. Silva, Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM, JHEP 03 (2015) 002 [arXiv:1412.4084] [INSPIRE].
Y. Hatsuda, M. Honda, S. Moriyama and K. Okuyama, ABJM Wilson loops in arbitrary representations, JHEP 10 (2013) 168 [arXiv:1306.4297] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Consistent warped space Kaluza-Klein reductions, half maximal gauged supergravities and CP n constructions, Nucl. Phys. B 597 (2001) 172 [hep-th/0007109] [INSPIRE].
H.A. Schmitt, P. Halse, B.R. Barrett and A.B. Balantekin, Positive discrete series representations of the noncompact superalgebra Osp(4/2, R), J. Math. Phys. 30 (1989) 2714 [INSPIRE].
A. Ceresole, G. Dall’Agata, R. D’Auria and S. Ferrara, Spectrum of type IIB supergravity on AdS 5 × T 11 : predictions on N = 1 SCFT’s, Phys. Rev. D 61 (2000) 066001 [hep-th/9905226] [INSPIRE].
A. Salam and J.A. Strathdee, On Kaluza-Klein theory, Annals Phys. 141 (1982) 316 [INSPIRE].
P. van Nieuwenhuizen, General theory of coset manifolds and antisymetric tensors applied to Kaluza-Klein supergravity, in Proceedings, Supersymmetry and Supergravity ′84, Trieste Italy (1984), pg. 239 [ITP-SB-84-57].
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Mück, W., Pando Zayas, L.A. & Rathee, V. Spectra of certain holographic ABJM Wilson loops in higher rank representations. J. High Energ. Phys. 2016, 113 (2016). https://doi.org/10.1007/JHEP11(2016)113
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DOI: https://doi.org/10.1007/JHEP11(2016)113