English

On the definition and K-theory realization of a modular functor

K-Theory and Homology 2018-01-09 v3

Abstract

We present a definition of a (super)-modular functor which includes certain interesting cases that previous definitions do not allow. We also introduce a notion of topological twisting of a modular functor, and construct formally a realization by a 2-dimensional topological field theory valued in twisted K-modules. We discuss, among other things, the N=1-supersymmetric minimal models from the point of view of this formalism.

Keywords

Cite

@article{arxiv.1310.5174,
  title  = {On the definition and K-theory realization of a modular functor},
  author = {Igor Kriz and Luhang Lai},
  journal= {arXiv preprint arXiv:1310.5174},
  year   = {2018}
}

Comments

Accepted for publication in the Reviews in Mathematical Physics