Vortex Loop Operators, M2-branes and Holography

Details Vortex Loop Operators, M2-branes and Holography Vortex Loop Operators, M2-branes and Holography

2008-10-24

arxiv.org/abs/0810.4344v4

JHEP 0903:004,2009

Physics

High Energy Physics

High Energy Physics - Theory

62 pages; v2 references added; v3 resolved remaining issue regarding odd k, version to appear in JHEP; v4 correction to VEV ca

Scientific paper

10.1088/1126-6708/2009/03/004

We construct vortex loop operators in the three-dimensional 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 AdS_4 x S^7/Z_k. The vortex loop operators can also be given a purely geometric description in terms of regular "bubbling" solutions of eleven dimensional supergravity which are asymptotically AdS_4 x S^7/Z_k.

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