Logarithmic conformal field theory, log-modular tensor categories and modular forms

Creutzig T, Gannon T (2017)

Publication Type: Journal article

Publication year: 2017

Journal

Journal of Physics A: Mathematical and Theoretical Institute of Physics Publishing (IOP)

Book Volume: 50

Article Number: 404004

Journal Issue: 40

DOI: 10.1088/1751-8121/aa8538

Abstract

The two pillars of rational conformal field theory and rational vertex operator algebras are modularity of characters, and the interpretation of its category of modules as a modular tensor category. Overarching these pillars is the Verlinde formula. In this paper we consider the more general class of logarithmic conformal field theories and C 2-cofinite vertex operator algebras. We suggest logarithmic variants of those pillars and of Verlinde's formula. We illustrate our ideas with the -triplet algebras and the symplectic fermions.

Involved external institutions

University of Alberta CA Canada (CA)

How to cite

APA:

Creutzig, T., & Gannon, T. (2017). Logarithmic conformal field theory, log-modular tensor categories and modular forms. Journal of Physics A: Mathematical and Theoretical, 50(40). https://doi.org/10.1088/1751-8121/aa8538

MLA:

Creutzig, Thomas, and Terry Gannon. "Logarithmic conformal field theory, log-modular tensor categories and modular forms." Journal of Physics A: Mathematical and Theoretical 50.40 (2017).

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