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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer Berlin Heidelberg

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DOI

10.1016/0257-8972(94)90111-2

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1432-0916

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Twisted Logarithmic Modules of Vertex Algebras

Authors: Bojko Bakalov
Publish Date: 2015/11/25
Volume: 345, Issue: 1, Pages: 355-383
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Abstract

Motivated by logarithmic conformal field theory and Gromov–Witten theory we introduce a notion of a twisted module of a vertex algebra under an arbitrary not necessarily semisimple automorphism Its main feature is that the twisted fields involve the logarithm of the formal variable We develop the theory of such twisted modules and in particular derive a Borcherds identity and commutator formula for them We investigate in detail the examples of affine and Heisenberg vertex algebras

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