Abstract
We consider Hanany-Witten setups of 3- and 5-branes in type IIB string theory that realize \( \mathcal{N}=\left(1,0\right) \), (2, 0) and (1, 1) gauged WZW models in 1 + 1 dimensions. The gauged WZW models arise as theories residing on the boundary of D3 branes ending on D5 branes. From the point of view of low energy dynamics the D5 branes play the role of half-BPS co-dimension-1 defects (domain walls) in 3d \( \mathcal{N}=1 \) or \( \mathcal{N}=2 \) Chern-Simons theories. Extending the analysis of previous works on the subject of boundary conditions in (supersymmetric) Chern-Simons theory, we discuss in detail the field theory construction of a large class of Chern-Simons domain wall theories and its embedding in open string dynamics. Finally, we exhibit how standard brane moves that result to 3d Seiberg duality, translate in our setup to a generalized level-rank duality in gauged-WZW models.
Article PDF
References
A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230] [INSPIRE].
A. Gadde, S. Gukov and P. Putrov, Walls, Lines and Spectral Dualities in 3d Gauge Theories, JHEP 05 (2014) 047 [arXiv:1302.0015] [INSPIRE].
T. Okazaki and S. Yamaguchi, Supersymmetric boundary conditions in three-dimensional N =2 theories,Phys. Rev. D 87 (2013) 125005 [arXiv:1302.6593] [INSPIRE].
S. Sugishita and S. Terashima, Exact Results in Supersymmetric Field Theories on Manifolds with Boundaries, JHEP 11 (2013) 021 [arXiv:1308.1973] [INSPIRE].
Y. Yoshida and K. Sugiyama, Localization of 3d \( \mathcal{N}=2 \) Supersymmetric Theories on S1 × D2, arXiv:1409.6713 [INSPIRE].
A. Strominger, Open p-branes, Phys. Lett. B 383 (1996) 44 [hep-th/9512059] [INSPIRE].
P.K. Townsend, D-branes from M-branes, Phys. Lett. B 373 (1996) 68 [hep-th/9512062] [INSPIRE].
E. Witten, Quantum Field Theory and the Jones Polynomial, Commun. Math. Phys. 121 (1989) 351 [INSPIRE].
S. Elitzur, G.W. Moore, A. Schwimmer and N. Seiberg, Remarks on the canonical quantization of the Chern-Simons-Witten Theory, Nucl. Phys. B 326 (1989) 108 [INSPIRE].
G.W. Moore and N. Seiberg, Taming the conformal zoo, Phys. Lett. B 220 (1989) 422 [INSPIRE].
D.V. Belyaev and P. van Nieuwenhuizen, Rigid supersymmetry with boundaries, JHEP 04 (2008) 008 [arXiv:0801.2377] [INSPIRE].
D.S. Berman and D.C. Thompson, Membranes with a boundary, Nucl. Phys. B 820 (2009) 503 [arXiv:0904.0241] [INSPIRE].
C.-S. Chu and D.J. Smith, Multiple self-dual strings on M5-Branes, JHEP 01 (2010) 001 [arXiv:0909.2333] [INSPIRE].
M. Faizal and D.J. Smith, Supersymmetric Chern-Simons theory in presence of a boundary, Phys. Rev. D 85 (2012) 105007 [arXiv:1112.6070] [INSPIRE].
E.A. Ivanov, Chern-Simons matter systems with manifest N = 2 supersymmetry, Phys. Lett. B 268 (1991) 203 [INSPIRE].
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].
A. Giveon and D. Kutasov, Seiberg Duality in Chern-Simons Theory, Nucl. Phys. B 812 (2009) 1 [arXiv:0808.0360] [INSPIRE].
V. Niarchos, Seiberg duality in Chern-Simons theories with fundamental and adjoint matter, JHEP 11 (2008) 001 [arXiv:0808.2771] [INSPIRE].
T. Kitao, K. Ohta and N. Ohta, Three-dimensional gauge dynamics from brane configurations with (p,q)-fivebrane, Nucl. Phys. B 539 (1999) 79 [hep-th/9808111] [INSPIRE].
A. Armoni and T.J. Hollowood, Sitting on the domain walls of N = 1 super Yang-Mills, JHEP 07 (2005) 043 [hep-th/0505213] [INSPIRE].
A. Armoni and T.J. Hollowood, Interactions of domain walls of SUSY Yang-Mills as D-branes, JHEP 02 (2006) 072 [hep-th/0601150] [INSPIRE].
D. Karabali and H.J. Schnitzer, BRST quantization of the gauged WZW action and coset conformal field theories, Nucl. Phys. B 329 (1990) 649 [INSPIRE].
P.S. Howe and G. Papadopoulos, Ultraviolet behavior of two-dimensional supersymmetric nonlinear σ models, Nucl. Phys. B 289 (1987) 264 [INSPIRE].
C.M. Hull and B.J. Spence, The (2,0) supersymmetric Wess-Zumino-Witten model, Nucl. Phys. B 345 (1990) 493 [INSPIRE].
O. Aharony and A. Hanany, Branes, superpotentials and superconformal fixed points, Nucl. Phys. B 504 (1997) 239 [hep-th/9704170] [INSPIRE].
O. Bergman, A. Hanany, A. Karch and B. Kol, Branes and supersymmetry breaking in three-dimensional gauge theories, JHEP 10 (1999) 036 [hep-th/9908075] [INSPIRE].
A. Armoni, A. Giveon, D. Israel and V. Niarchos, Brane Dynamics and 3D Seiberg Duality on the Domain Walls of 4D N = 1 SYM, JHEP 07 (2009) 061 [arXiv:0905.3195] [INSPIRE].
S. Elitzur, A. Giveon and D. Kutasov, Branes and N = 1 duality in string theory, Phys. Lett. B 400 (1997) 269 [hep-th/9702014] [INSPIRE].
A. Armoni and E. Ireson, Level-rank duality in Chern-Simons theory from a non-supersymmetric brane configuration, Phys. Lett. B 739 (2014) 387 [arXiv:1408.4633] [INSPIRE].
B.S. Acharya and C. Vafa, On domain walls of N = 1 supersymmetric Yang-Mills in four-dimensions, hep-th/0103011 [INSPIRE].
D. Gaiotto, Kazama-Suzuki models and BPS domain wall junctions in N = 1 SU(N) Super Yang-Mills, arXiv:1306.5661 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1505.02916
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Armoni, A., Niarchos, V. Defects in Chern-Simons theory, gauged WZW models on the brane, and level-rank duality. J. High Energ. Phys. 2015, 62 (2015). https://doi.org/10.1007/JHEP07(2015)062
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2015)062