pith. sign in

arxiv: 1607.01142 · v3 · pith:3ZQVXVO2new · submitted 2016-07-05 · 🧮 math.QA · math-ph· math.MP· math.RT

Quantum correspondences of affine Lie superalgebras

classification 🧮 math.QA math-phmath.MPmath.RT
keywords affinequantumsuperalgebrascategoriesisomorphismalgebrascomposedconsequence
0
0 comments X
read the original abstract

There is a surprising isomorphism between the quantised universal enveloping algebras of osp(1|2n) and so(2n+1). This same isomorphism emerged in recent work of Mikhaylov and Witten in the context of string theory as a T-duality composed with an S-duality. We construct similar Hopf superalgebra isomorphisms for families of pairs of quantum affine superalgebras. An immediate consequence is that the representation categories of the quantum affine superalgebras in each pair are equivalent as strict tensor categories.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.