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math.RTMar 1, 2014
18
citations (OpenAlex)
authors
  • Sabin Cautis
  • Joshua Sussan
institutions
  • City University of New York
  • Medgar Evers College
  • University of British Columbia
arXiv abstractPDF
paper

On a categorical Boson-Fermion correspondence

arXiv:1403.6019 · doi:10.1007/s00220-015-2310-3

Abstract

We propose a categorical version of the Boson-Fermion correspondence and its twisted version. One can view it as a relative of the Frenkel-Kac-Segal construction of quantum affine algebras.

20 pages

References in corpus (1)

  • A categorification of the boson-fermion correspondence via representation theory of $sl(\infty)

Cited by in corpus (8)

  • A general approach to Heisenberg categorification via wreath product algebras
  • A categorification of the boson-fermion correspondence via representation theory of $sl(\infty)
  • A graphical calculus for the Jack inner product on symmetric functions
  • W-algebras from Heisenberg categories
  • Trace of the twisted Heisenberg Category
  • Towards a categorical boson-fermion correspondence
  • Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category
  • Coherent systems of probability measures on graphs for representations of free Frobenius towers
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