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

Nov, 2003
37 pages
Published in:
  • Int.J.Math. 17 (2007) 975-1012
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Abstract:
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.
  • Conformal vertex algebra
  • generalized module
  • logarithmic intertwining operators
  • vertex tensor category
  • braided tensor category