期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2015)064
关键词
Nonperturbative Effects; Wilson; 't Hooft and Polyakov loops; Supersymmetric gauge theory; Gauge-gravity correspondence
资金
- University of Roma Tor Vergata
- Volkswagen foundation of Germany
- Armenian State Council of Science [13-1C278]
- Armenian-Russian grant Common projects in Fundamental Scientific Research
We study chiral deformations of N = 2 and N = 4 supersymmetric gauge theories obtained by turning on tau(J) tr Phi(J) interactions with Phi the N = 2 super field. Using localization, we compute the deformed gauge theory partition function Z((tau) over right arrow vertical bar q) and the expectation value of circular Wilson loops W on a squashed four-sphere. In the case of the deformed N = 4 theory, exact formulas for Z and W are derived in terms of an underlying U(N) interacting matrix model replacing the free Gaussian model describing the N = 4 theory. Using the AGT correspondence, the tau(J)-deformations are related to the insertions of commuting integrals of motion in the four-point CFT correlator and chiral correlators are expressed as tau-derivatives of the gauge theory partition function on a finite Omega-background. In the so called Nekrasov-Shatashvili limit, the entire ring of chiral relations is extracted from the epsilon-deformed Seiberg-Witten curve. As a byproduct of our analysis we show that SU(2) gauge theories on rational Omega-backgrounds are dual to CFT minimal models.
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