Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

Yi-Zhi Huang; James Lepowsky; Lin Zhang

Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

Quantum Algebra 2012-05-14 v2 High Energy Physics - Theory Representation Theory

Authors: Yi-Zhi Huang , James Lepowsky , Lin Zhang

Abstract

This is the seventh 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 VII), we give sufficient conditions for the existence of the associativity isomorphisms.

Keywords

vertex operator algebra tensor category associativity isomorphism module category logarithmic conformal field theory

Cite

@article{arxiv.1110.1929,
  title  = {Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps},
  author = {Yi-Zhi Huang and James Lepowsky and Lin Zhang},
  journal= {arXiv preprint arXiv:1110.1929},
  year   = {2012}
}

Comments

Part VII of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 21 pages. Minor changes

Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

Abstract

Keywords

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