Vortex loop operators, M2-branes and holography

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Published 2 March 2009 Published under licence by IOP Publishing Ltd
, , Citation Nadav Drukker et al JHEP03(2009)004 DOI 10.1088/1126-6708/2009/03/004

1126-6708/2009/03/004

Abstract

We construct vortex loop operators in the three-dimensional Script N = 6 supersymmetric Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena. These disorder loop operators are specified by a vortex-like singularity for the scalar and gauge fields along a one dimensional curve in spacetime. We identify the 1/2, 1/3 and 1/6 BPS loop operators in the Chern-Simons theory with excitations of M-theory corresponding to M2-branes ending along a curve on the boundary of AdS4 × S7/Bbb Zk. The vortex loop operators can also be given a purely geometric description in terms of regular ``bubbling'' solutions of eleven dimensional supergravity which are asymptoticallyAdS4 × S7/Bbb Zk.

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10.1088/1126-6708/2009/03/004