PIRSA:11090126

Line Operators on S^1 x R^3 and Quantization of the Hitchin Moduli Space

Okuda, T. (2011). Line Operators on S^1 x R^3 and Quantization of the Hitchin Moduli Space. Perimeter Institute. https://pirsa.org/11090126

Okuda, Takuya. Line Operators on S^1 x R^3 and Quantization of the Hitchin Moduli Space. Perimeter Institute, Sep. 20, 2011, https://pirsa.org/11090126 

          @misc{ pirsa_PIRSA:11090126,
            doi = {10.48660/11090126},
            url = {https://pirsa.org/11090126},
            author = {Okuda, Takuya},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Line Operators on S^1 x R^3 and Quantization of the Hitchin Moduli Space},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {sep},
            note = {PIRSA:11090126 see, \url{https://pirsa.org}}
          }

Takuya Okuda University of Tokyo

DOI 10.48660/11090126
Collection
Talk Type Scientific Series
Subject

Abstract

We perform an exact localization calculation for the expectation value of Wilson-'t Hooft line operators in N=2 gauge theories on S^1 x R^3. The expectation values form a quantum mechanically deformed algebra of functions on the Hitchin moduli space by Moyal multiplication. We demonstrate that these expectation values are the Weyl transform of the Verlinde operators, which acts on conformal blocks as difference operators. Our results are also in exact match with the predictions from wall-crossing in the IR effective theory.