The Polyakov Loop of Anti-symmetric Representations as a Quantum Impurity Model

Details The Polyakov Loop of Anti-symmetric Representations as a Quantum Impurity Model The Polyakov Loop of Anti-symmetric Representations as a Quantum Impurity Model

2010-12-09

arxiv.org/abs/1012.1973v3

Phys Rev D83 066006 (2011)

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 2 figures, v2: references added and small changes in text, v3: extended to Polyakov loops on spacial R^3, S^3 or H^3

Scientific paper

10.1103/PhysRevD.83.066006

The Polyakov loop of an operator in the anti-symmetric representation in N=4 SYM theory on spacial R^3 is calculated, to leading order in 1/N and at large 't Hooft coupling, by solving the saddle point equations of the corresponding quantum impurity model. Agreement is found with previous results from the supergravity dual, which is given by a D5-brane in an asymptotically AdS_5 x S^5 black brane background. It is shown that the azimuth angle, at which the dual D5-brane wraps the S^5, is related to the spectral asymmetry angle in the spectral density associated with the Green's function of the impurity fermions. Much of the calculation also applies to the Polyakov loop on spacial S^3 or H^3.

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