Darboux coordinates, Yang-Yang functional, and gauge theory
| Autor: | Nikita Nekrasov, Samson L. Shatashvili, A. A. Rosly |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Pure mathematics Instanton FOS: Physical sciences Darboux integral 01 natural sciences Mathematics - Algebraic Geometry High Energy Physics::Theory symbols.namesake Conjugacy class Gauge group 0103 physical sciences FOS: Mathematics Gauge theory 010306 general physics Algebraic Geometry (math.AG) Mathematical Physics Mathematical physics Mathematics Physics 010308 nuclear & particles physics Riemann surface Superpotential Mathematical analysis Statistical and Nonlinear Physics Atomic and Molecular Physics and Optics Moduli space High Energy Physics - Theory (hep-th) Hitchin system Mathematics - Symplectic Geometry symbols Symplectic Geometry (math.SG) |
| Zdroj: | Theoretical and Mathematical Physics. 181:1206-1234 |
| ISSN: | 1573-9333 0040-5779 |
| Popis: | The moduli space of SL(2) flat connections on a punctured Riemann surface with the fixed conjugacy classes of the monodromies around the punctures is endowed with a system of holomorphic Darboux coordinates, in which the generating function of the variety of SL(2)-opers is identified with the universal part of the effective twisted superpotential of the corresponding four dimensional N=2 supersymmetric theory subject to the two-dimensional Omega-deformation. This allows to give a definition of the Yang-Yang functionals for the quantum Hitchin system in terms of the classical geometry of the moduli space of local systems for the dual gauge group, and connect it to the instanton counting of the four dimensional gauge theories, in the rank one case. 25 pages, 11 figures, v1. in the proceedings of Cargese conference "String Theory: Formal Developments and Applications" (Jun 21-Jul 3, 2010); reported also at six other conferences in 2010, v2. references corrected |
| Databáze: | OpenAIRE |
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