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Published November 26, 2008 | Accepted Version + Published
Journal Article Open

Superconformal Chern-Simons theories and the squashed seven sphere

Abstract

We show that there are two supersymmetric completions of the three-dimensional Chern-Simons theory of level k with gauge group U(N) × U(N) coupled to four sets of massless scalars and spinors in the bi-fundamental representation, if we require Sp(2) ⊂ SU(4) global symmetry with the matter fields in the fundamental representation of SU(4). One is the Script N = 6 superconformal theory recently studied in hep-th/0806.1218 and another is a new theory with Script N = 1 superconformal symmetry. We conjecture that the Script N = 1 theory is dual to M theory on AdS4 × squashed S^7/Bbb Zk.

Additional Information

© 2008 SISSA. Received 9 October 2008, accepted for publication 10 November 2008. Published 26 November 2008. We would like to thank J. Schwarz for discussions. C.P. thanks the students and organizers of Prospects in Theoretical Physics 2008 where the work was initiated. H.O. thanks the Aspen Center for Physics for the hospitality. This work is supported in part by DOE grant DE-FG03-92-ER40701. The work of H.O. is also supported in part by a Grant-in-Aid for Scientific Research (C) 20540256 from the Japan Society for the Promotion of Science, by the World Premier International Research Center Initiative of MEXT of Japan, and by the Kavli Foundation. C.P. is supported in part by Samsung Scholarship.

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Published - OOGjhep08.pdf

Accepted Version - arXiv-0808.0500v2.pdf

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August 22, 2023
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