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Twisted logarithmic modules of free field algebras
Given a non-semisimple automorphism φ of a vertex algebra V, the fields in a φ-twisted V-module involve the logarithm of the formal variable, and the action of the Virasoro operator L 0 on such a module is not semisimple. We construct examples of such modules and realize them explicitly as Fock spac...
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Published in: | Journal of mathematical physics 2016-06, Vol.57 (6), p.1 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Given a non-semisimple automorphism φ of a vertex algebra V, the fields in a φ-twisted V-module involve the logarithm of the formal variable, and the action of the Virasoro operator L
0 on such a module is not semisimple. We construct examples of such modules and realize them explicitly as Fock spaces when V is generated by free fields. Specifically, we consider the cases of symplectic fermions (odd superbosons), free fermions, and βγ-system (even superfermions). In each case, we determine the action of the Virasoro algebra. |
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ISSN: | 0022-2488 1089-7658 |
DOI: | 10.1063/1.4953249 |