Affiliation:
1. Department of Mathematical and Statistical Sciences, University of Alberta, CAB 632, Edmonton, AB T6G 2G1, Canada
Abstract
Feigin–Semikhatov conjecture, now established, states algebraic isomorphisms between the cosets of the subregular [Formula: see text]-algebras and the principal [Formula: see text]-superalgebras of type A by their full Heisenberg subalgebras. It can be seen as a variant of Feigin–Frenkel duality between the [Formula: see text]-algebras and also as a generalization of the connection between the [Formula: see text] superconformal algebra and the affine algebra [Formula: see text]. We review the recent developments on the correspondence of the subregular [Formula: see text]-algebras and the principal [Formula: see text]-superalgebras of type A at the level of algebras, modules and intertwining operators, including fusion rules.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics