Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators
Yi-Zhi Huang, James Lepowsky, Lin Zhang
TL;DR
This paper advances tensor category theory for vertex operator algebras by developing logarithmic formal calculus and analyzing properties of logarithmic intertwining operators, expanding the mathematical framework for logarithmic conformal field theories.
Contribution
It introduces logarithmic formal calculus and investigates properties of logarithmic intertwining operators within tensor category theory for vertex operator algebras.
Findings
Development of logarithmic formal calculus
Analysis of properties of logarithmic intertwining operators
Foundation for tensor categories in logarithmic conformal field theory
Abstract
This is the second 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 II), we develop logarithmic formal calculus and study logarithmic intertwining operators.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology