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Published March 17, 2009 | Published
Journal Article Open

Superconformal indices for orbifold Chern-Simons theories

Abstract

We calculate the superconformal indices of recently discovered three-dimensional N = 4,5 Chern-Simons-matter theories and compare them with the corresponding indices of supergravity on AdS4 times orbifolds of S^7 in the large N and large k limit. We find perfect agreement for orbifolds without fixed locus, and argue that the agreement can continue to hold for orbifolds with fixed locus provided that the mass shifts of the twisted sector states are properly taken into account. We also discuss the index for the so-called "dual ABJM" proposal.

Additional Information

© SISSA 2009. Received 26 December 2008, accepted for publication 23 February 2009. Published 17 March 2009. We are grateful to Seok Kim, Sungjay Lee, Hirosi Ooguri, Chang-Soon Park and Masahito Yamazaki for helpful discussions. The work of S.L. is supported in part by the KOSEF Grant R01-2006-000-10965-0 and the Korea Research Foundation Grant KRF-2007-331-C00073. The work of J.S. is supported in part by DOE grant DE-FG02-92ER40701 and Samsung Scholarship.

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