Vortex Loop Operators, M2-branes and Holography
Oct, 2008
62 pages
Published in:
- JHEP 03 (2009) 004
e-Print:
- 0810.4344 [hep-th]
Report number:
- HU-EP-08-43
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Abstract: (arXiv)
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 which are asymptotically AdS_4 x S^7/Z_k.- vortex
- Chern-Simons term
- gauge field theory
- supersymmetry: 6
- field theory: scalar
- dimension: 3
- holography
- M-theory
- BPS
- operator: algebra
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