English

Lower-bounded and grading-restricted twisted modules for affine vertex (operator) algebras

Quantum Algebra 2020-10-08 v2 High Energy Physics - Theory Representation Theory

Abstract

We apply the construction of the universal lower-bounded generalized twisted modules by the author to construct universal lower-bounded and grading-restricted generalized twisted modules for affine vertex (operator) algebras. We prove that these universal twisted modules for affine vertex (operator) algebras are equivalent to suitable induced modules of the corresponding twisted affine Lie algebra or quotients of such induced modules by explicitly given submodules.

Keywords

Cite

@article{arxiv.2003.09107,
  title  = {Lower-bounded and grading-restricted twisted modules for affine vertex (operator) algebras},
  author = {Yi-Zhi Huang},
  journal= {arXiv preprint arXiv:2003.09107},
  year   = {2020}
}

Comments

45 pages. Some typos are corrected and some words are adjusted

R2 v1 2026-06-23T14:21:00.808Z