期刊
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
卷 68, 期 1-2, 页码 178-209出版社
WALTER DE GRUYTER GMBH
DOI: 10.5560/ZNA.2012-0118
关键词
Sring Gauge Theory; Duality; Strongly Coupled Systems
资金
- DFG [KL2271/1-1]
- Fonds National Suisse [200020-126817, 200020-137523]
- Swiss National Science Foundation (SNF) [200020_137523] Funding Source: Swiss National Science Foundation (SNF)
The matrix model of the Aharony-Bergman-Jafferis-Maldacena theory can be formulated in terms of an ideal Fermi gas with a non-trivial one-particle Hamiltonian. We show that, in this formalism, vacuum expectation values (vevs) of Wilson loops correspond to averages of operators in the statistical-mechanical problem. This makes it possible to calculate these vevs at all orders in 1/N, up to exponentially small corrections, and for arbitrary Chern-Simons coupling, by using the Wentzel-Kramer-Brillouin expansion. We present explicit results for the vevs of 1/6 and the 1/2 Bogomolnyi-Prasad-Sommerfield Wilson loops, at any winding number, in terms of Airy functions. Our expressions are shown to reproduce the low genus results obtained previously in the 't Hooft expansion.
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