English

Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition

Quantum Algebra 2012-05-14 v3 High Energy Physics - Theory Representation Theory

Abstract

This is the fifth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part V), we study products and iterates of intertwining maps and of logarithmic intertwining operators and we begin the development of our analytic approach.

Keywords

Cite

@article{arxiv.1012.4199,
  title  = {Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition},
  author = {Yi-Zhi Huang and James Lepowsky and Lin Zhang},
  journal= {arXiv preprint arXiv:1012.4199},
  year   = {2012}
}

Comments

Part V of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 49 pages. Trivial changes, including a piece of notation. Minor changes

R2 v1 2026-06-21T17:01:15.283Z