PIRSA:19020066

Connecting affine Yangians with W-algebras

APA

Negut, A. (2019). Connecting affine Yangians with W-algebras. Perimeter Institute. https://pirsa.org/19020066

MLA

Negut, Andrei. Connecting affine Yangians with W-algebras. Perimeter Institute, Feb. 28, 2019, https://pirsa.org/19020066

BibTex

          @misc{ pirsa_PIRSA:19020066,
            doi = {10.48660/19020066},
            url = {https://pirsa.org/19020066},
            author = {Negut, Andrei},
            keywords = {Mathematical physics},
            language = {en},
            title = {Connecting affine Yangians with W-algebras},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {feb},
            note = {PIRSA:19020066 see, \url{https://pirsa.org}}
          }
          

Andrei Negut Massachusetts Institute of Technology (MIT) - Center for Extreme Quantum Information Theory (xQIT)

Abstract

Alday-Gaiotto-Tachikawa connect instanton counts in gauge theory with conformal blocks for W-algebras. We realize this mathematically by relating q-deformed W-algebras with the affine q-Yangians that control gauge theory, thus offering an affine, q-deformed generalization of the well-known Brundan-Kleshchev construction in type A