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Published November 19, 2013 | Submitted
Journal Article Open

2d SCFTs from M2-branes

Abstract

We consider the low-energy limit of the two-dimensional theory on k M2-branes suspended between a straight M5-brane and a curved M5-brane. We argue that it is described by an N=(2,2) supersymmetric gauge theory with no matter fields but with a non-trivial twisted superpotential, and also by an N=(2,2) supersymmetric Landau-Ginzburg model, such that the (twisted) superpotentials are determined by the shape of the M5-branes. We find particular cases realize Kazama-Suzuki models. Evidence is provided by the study of ground states, chiral rings, BPS spectra and S^2 partition functions of the systems.

Additional Information

© 2013 SISSA. Published for SISSA by Springer. Received: October 10, 2013; Accepted: October 23, 2013; Published: November 19, 2013. It is a pleasure for the authors to thank helpful discussions with Keshav Dasgupta, Nick Dorey, Sasha Getmanenko, Jaume Gomis, Sangmin Lee, Sungjay Lee, Todor Milanov, Andy Neitzke, Kyoji Saito, John H. Schwarz, Jaewon Song, Edward Witten, and Piljin Yi. C. Y. P. would like to thank Kavli IPMU for hospitality and support while this work was in the initial and final stages. C. Y. P. would also like to thank the organizers of "N=2 JAAZ" Workshop at McGill University and the 10th Simons Summer Workshop in Mathematics and Physics for hospitality and support where part of this work has been done. The work of C. Y. P. is supported in part by Samsung Scholarship. The work of K. H. and Y. T. is supported in part by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan through the Institute for the Physics and Mathematics of the Universe, the University of Tokyo. The work of K. H. is also supported in part by JSPS Grant-in-Aid for Scientific Research No. 21340109, and the work of Y. T. is supported in part by JSPS Grant-in-Aid for Scientific Research No. 25870159.

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