1/N expansion of circular Wilson loop in N = 2 superconformal SU(N) × SU(N) quiver

A bstract Localization approach to N = 2 superconformal SU( N ) × SU( N ) quiver theory leads to a non-Gaussian two-matrix model representation for the expectation value of BPS circular SU( N ) Wilson loop W . We study the subleading 1 /N 2 term in the large N expansion of W at weak and strong coupl...

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Bibliographic Details
Published in:The journal of high energy physics 2021-04, Vol.2021 (4)
Main Authors: Beccaria, M., Tseytlin, A.A.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Couplings
Elementary Particles
Free energy
Gauge theory
High energy physics
Localization
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract Localization approach to N = 2 superconformal SU( N ) × SU( N ) quiver theory leads to a non-Gaussian two-matrix model representation for the expectation value of BPS circular SU( N ) Wilson loop W . We study the subleading 1 /N 2 term in the large N expansion of W at weak and strong coupling. We concentrate on the case of the symmetric quiver with equal gauge couplings which is equivalent to the ℤ 2 orbifold of the SU(2 N ) N = 4 SYM theory. This orbifold gauge theory should be dual to type IIB superstring in AdS 5 × ( S 5 / ℤ 2 ). We present a string theory argument suggesting that the 1 /N 2 term in W in the orbifold theory should have the same strong-coupling asymptotics λ 3 / 2 as in the N = 4 SYM case. We support this prediction on the gauge theory side by a numerical study of the localization matrix model. We also find a relation between the 1 /N 2 term in the Wilson loop expectation value and the derivative of the free energy of the orbifold gauge theory on 4-sphere.
ISSN:1029-8479
DOI:10.1007/JHEP04(2021)265