A logarithmic generalization of tensor product theory for modules for a vertex operator algebra

Details A logarithmic generalization of tensor product theory for modules for a vertex operator algebra A logarithmic generalization of tensor product theory for modules for a vertex operator algebra

2003-11-14

arxiv.org/abs/math/0311235v3

Int.J.Math.17:975-1012,2007

Mathematics

Quantum Algebra

39 pages. Misprints corrected. Final version

Scientific paper

10.1142/S0129167X06003758

We describe a logarithmic tensor product theory for certain module categories for a ``conformal vertex algebra.'' In this theory, which is a natural, although intricate, generalization of earlier work of Huang and Lepowsky, we do not require the module categories to be semisimple, and we accommodate modules with generalized weight spaces. The corresponding intertwining operators contain logarithms of the variables.

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