PIRSA:23070020

Challenge Talk 2 - Feynman's Last Blackboard: From Bethe Ansatz to Langlands Duality

Frenkel, E. (2023). Challenge Talk 2 - Feynman's Last Blackboard: From Bethe Ansatz to Langlands Duality. Perimeter Institute. https://pirsa.org/23070020

Frenkel, Edward. Challenge Talk 2 - Feynman's Last Blackboard: From Bethe Ansatz to Langlands Duality. Perimeter Institute, Jul. 25, 2023, https://pirsa.org/23070020 

          @misc{ pirsa_PIRSA:23070020,
            doi = {10.48660/23070020},
            url = {https://pirsa.org/23070020},
            author = {Frenkel, Edward},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Challenge Talk 2 - Feynman{\textquoteright}s Last Blackboard: From Bethe Ansatz to Langlands Duality},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jul},
            note = {PIRSA:23070020 see, \url{https://pirsa.org}}
          }

Edward Frenkel

Talk numberPIRSA:23070020
DOI10.48660/23070020
Collection
Talk Type Conference
Subject

Abstract

Richard Feynman's last blackboard at Caltech contains a number of tantalizing inscriptions about Bethe Ansatz in quantum integrable models, which fascinated him in the last years of his life. After reviewing some basic examples, I will present a modern perspective on the subject, linking it to dualities in QFT and String Theory, as well as the Langlands duality in mathematics. I will then discuss some recent developments that lend support to Feynman's intuition that these ideas could be useful in the study of 4d gauge theory, and formulate some open questions.