PIRSA:17030095

W infinity - Higher spins and integrability

Prochazka, T. (2017). W infinity - Higher spins and integrability. Perimeter Institute. https://pirsa.org/17030095

Prochazka, Tomas. W infinity - Higher spins and integrability. Perimeter Institute, Mar. 31, 2017, https://pirsa.org/17030095 

          @misc{ pirsa_PIRSA:17030095,
            doi = {10.48660/17030095},
            url = {https://pirsa.org/17030095},
            author = {Prochazka, Tomas},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {W infinity - Higher spins and integrability},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {mar},
            note = {PIRSA:17030095 see, \url{https://pirsa.org}}
          }

Tomas Prochazka Ludwig-Maximilians-Universität München (LMU)

Talk number PIRSA:17030095
DOI 10.48660/17030095
Collection
Talk Type Scientific Series
Subject

Abstract

I will discuss the chiral algebra W_infty which is obtained from the Virasoro algebra by adding fields of spin 3, 4, .... Via a non-local non-linear map one can show that it is equivalent to Tsymbaliuk's Yangian of affine u(1). In this way we find an infinite number of commuting conserved charges. Diagonalizing these, the representation theory reduces to combinatorial study of plane partitions, 3-dimensional generalization of the Young diagrams. Tsymbaliuk's presentation can be derived from RTT relations using Maulik-Okounkov's free boson R-matrix.