PIRSA:14120033

Givental J-functions, Quantum integrable systems, AGT relation with surface operator

Nawata, S. (2014). Givental J-functions, Quantum integrable systems, AGT relation with surface operator. Perimeter Institute. https://pirsa.org/14120033

Nawata, Satoshi. Givental J-functions, Quantum integrable systems, AGT relation with surface operator. Perimeter Institute, Dec. 02, 2014, https://pirsa.org/14120033 

          @misc{ pirsa_PIRSA:14120033,
            doi = {10.48660/14120033},
            url = {https://pirsa.org/14120033},
            author = {Nawata, Satoshi},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Givental J-functions, Quantum integrable systems, AGT relation with surface operator},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {dec},
            note = {PIRSA:14120033 see, \url{https://pirsa.org}}
          }

Satoshi Nawata Fudan University

Talk number PIRSA:14120033
DOI 10.48660/14120033
Collection
Talk Type Scientific Series
Subject

Abstract

I will talk about 4d N=2 gauge theories with a co-dimension-two full surface operator, which exhibit a fascinating interplay of supersymmetric gauge theories, equivariant Gromov-Witten theory and geometric representation theory. For pure Yang-Mills and N=2* theory, a full surface operator can be described as the 4d gauge theory coupled to a 2d N=(2,2) gauge theory. By supersymmetric localizations, we present the exact partition functions of both 4d and 2d theories which satisfy integrable equations. In addition, I will show the validity of the orbifold method in one-loop computations when a full surface operator is inserted, and the form of the structure constants with a semi-degenerate field in SL(N,R) WZNW model is predicted from one-loop determinants.