Superconformal Chern-Simons Theories and the Squashed Seven Sphere

2008/08/31 by Hirosi Ooguri, Chang-Soon Park
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/11/082

published as JHEP 0811:082,2008 · 16 pages; v2: references added

arxiv created 2008/10/08 · arxiv updated 2009/12/01

Abstract

We show that there are two supersymmetric completions of the three-dimensional Chern-Simons theory of level k with gauge group U(N)xU(N) coupled to four sets of massless scalars and spinors in the bi-fundamental representation, if we require Sp(2) global symmetry with the matter fields in the fundamental representation of SU(4). One is the N=6 superconformal theory recently studied in arXiv:0806.1218 [hep-th] and another is a new theory with N=1 superconformal symmetry. We conjecture that the N=1 theory is dual to M theory on AdS₄ x Squashed S⁷/Z_k.

Citations

• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals