Towards M2-brane theories for generic toric singularities

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Published 30 December 2008 • Published under licence by IOP Publishing Ltd
, , Citation Sebastián Franco et al JHEP12(2008)110 DOI 10.1088/1126-6708/2008/12/110

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Author affiliations

1 Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, U.S.A.

2 KITP, University of California, Santa Barbara, CA 93106-4030, U.S.A.

3 Theoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, U.K.

4 Department of Physics, POSTECH, Pohang 790-784, Korea

5 Postech Center for Theoretical Physics (PCTP), POSTECH, Pohang 790-784, Korea

6 Department of Physics, Stanford University, Stanford, CA 94305-4060, U.S.A.

Dates

  1. Received 13 October 2008
  2. Accepted 15 December 2008
  3. Published

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1126-6708/2008/12/110

Abstract

We construct several examples of (2+1) dimensional Script N = 2 supersymmetric Chern-Simons theories, whose moduli space is given by non-compact toric Calabi-Yau four-folds, which are not derivable from any (3+1) dimensional CFT. One such example is the gauge theory associated with the cone over Q111. For several examples, we explicitly confirm the matter content, superpotential interactions and RG flows suggested by crystal models. Our results provide additional support to the idea that crystal models are relevant for describing the structure of these CFTs.

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10.1088/1126-6708/2008/12/110