Wilson loops and chiral correlators on squashed spheres

JOURNAL OF GEOMETRY AND PHYSICS

卷:118

Article; Proceedings Paper

Fucito, F.^1,2  Morales, J. F.²  Poghossian, R.³ 

[1] Univ Bern, Albert Einstein Ctr Fundamental Phys AEC, Bern, Switzerland

[2] Univ Roma Tor Vergata, INFN, Dipartimento Fis, Sez Roma 2, Rome, Italy

[3] Yerevan Phys Inst, Yerevan, Armenia

关键词: AGT;    Large N;    Recursion relation;    SYM theories;    Wilson loops;   

DOI  :  10.1016/j.geomphys.2016.09.004

来源: Elsevier

【 摘 要 】

After a very brief recollection of how my scientific collaboration with Ugo started, in this talk I will present some recent results obtained with localization: the deformed gauge theory partition function Z((tau) over right arrow \q) and the expectation value of circular Wilson loops W on a squashed four-sphere will be computed. The partition function is deformed by turning on tau(J) tr Phi(J) interactions with Phi the N = 2 superfield. For the N = 4 theory SUSY gauge theory exact formulae for Z and W in terms of an underlying U(N) interacting matrix model can be derived thus replacing the free Gaussian model describing the undeformed N = 4 theory. These results will be then compared with those obtained with the dual CFT according to the AGT correspondence. The interactions introduced previously are in fact related to the insertions of commuting integrals of motion in the four-point CFT correlator and the chiral correlators are expressed as tau-derivatives of the gauge theory partition function on a finite Omega-background. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free