On twisted representations of vertex algebras |
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Authors: | Michael Roitman |
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Affiliation: | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1109, USA |
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Abstract: | In this paper, we develop a formalism for working with representations of vertex and conformal algebras by generalized fields—formal power series involving non-integer powers of the variable. The main application of our technique is the construction of a large family of representations for the vertex superalgebra corresponding to an integer lattice Λ. For an automorphism coming from a finite-order automorphism we find the conditions for existence of twisted modules of . We show that the category of twisted representations of is semisimple with finitely many isomorphism classes of simple objects. |
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Keywords: | Vertex algebras Conformal algebras Lattice vertex algebras Twisted modules Semisimple categories |
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