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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Quasimodular instanton partition function and the elliptic solution of Korteweg-de Vries equations

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He, Wei [1]
Total Authors: 1
[1] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: ANNALS OF PHYSICS; v. 353, p. 150-162, FEB 2015.
Web of Science Citations: 9

The Gauge/Bethe correspondence relates Omega-deformed N = 2 supersymmetric gauge theories to some quantum integrable models, in simple cases the integrable models can be treated as solvable quantum mechanics models. For SU(2) gauge theory with an adjoint matter, or with 4 fundamental matters, the potential of corresponding quantum model is the elliptic function. If the mass of matter takes special value then the potential is an elliptic solution of KdV hierarchy. We show that the deformed prepotential of gauge theory can be obtained from the average densities of conserved charges of the classical KdV solution, the UV gauge coupling dependence is assembled into the Eisenstein series. The gauge theory with adjoint mass is taken as the example. (C) 2014 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 11/21812-8 - Quantum Gauge Theory and Integrable Systems
Grantee:Wei He
Support Opportunities: Scholarships in Brazil - Post-Doctorate