Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz

APA

Meneghelli, C. (2014). Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz. Perimeter Institute for Theoretical Physics. https://pirsa.org/14010096

MLA

Meneghelli, Carlo. Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz. Perimeter Institute for Theoretical Physics, Jan. 28, 2014, https://pirsa.org/14010096

BibTex

          @misc{ scivideos_PIRSA:14010096,
            doi = {10.48660/14010096},
            url = {https://pirsa.org/14010096},
            author = {Meneghelli, Carlo},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2014},
            month = {jan},
            note = {PIRSA:14010096 see, \url{https://scivideos.org/pirsa/14010096}}
          }
          

Carlo Meneghelli University of Oxford

Source Repository PIRSA

Abstract

In arXiv:0908.4052, Nekrasov and Shatashvili pointed out that the N=2 instanton partition function in a special limit of the Omega-deformation parameters is characterized by certain thermodynamic Bethe ansatz (TBA) like equations.In this talk I will present an explicit derivation of this fact as well as generalizations to quiver gauge theories. The TBA equations derived entirely within gauge theory have been proposed to encode the spectrum of a large class of quantum integrable systems. I will conclude with some remarks on this correspondence.