English

Quantum correspondences of affine Lie superalgebras

Quantum Algebra 2017-04-25 v3 Mathematical Physics math.MP Representation Theory

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.

Keywords

Cite

@article{arxiv.1607.01142,
  title  = {Quantum correspondences of affine Lie superalgebras},
  author = {Ying Xu and R. B. Zhang},
  journal= {arXiv preprint arXiv:1607.01142},
  year   = {2017}
}

Comments

Some proofs have been simplified; 19 pages