منابع مشابه
Weak modules and logarithmic intertwining operators for vertex operator algebras
We consider a class of weak modules for vertex operator algebras that we call logarithmic modules. We also construct nontrivial examples of intertwining operators between certain logarithmic modules for the Virasoro vertex operator algebra. At the end we speculate about some possible logarithmic intertwiners at the level c = 0. Introduction This work is an attempt to explain an algebraic reform...
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Let V be a simple vertex operator algebra and G a finite automorphism group. We give a construction of intertwining operators for irreducible V G-modules which occur as submodules of irreducible V -modules by using intertwining operators for V . We also determine some fusion rules for a vertex operator algebra as an application.
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We describe a completely algebraic axiom system for intertwining operators of vertex algebra modules, using algebraic flat connections, thus formulating the concept of a tree algebra. Using the Riemann-Hilbert correspondence, we further prove that a vertex tensor category in the sense of Huang and Lepowsky gives rise to a tree algebra over C. We also show that the chiral WZW model of a simply c...
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We find a Jacobi identity for intertwining operator algebras. Most of the main properties of genus-zero conformal field theories, including the main properties of vertex operator algebras, modules, intertwining operators, Verlinde algebras, and fusing and braiding matrices, are incorporated into this identity. We prove that intertwining operators for a suitable vertex operator algebra satisfy t...
متن کاملIntertwining Operator Algebras and Vertex Tensor Categories for Affine Lie Algebras
0. Introduction. The category of finite direct sums of standard (integrable highest weight) modules of a fixed positive integral level k for an affine Lie algebra ĝ is particularly important from the viewpoint of conformal field theory and related mathematics. Here we call this the category generated by the standard ĝ-modules of level k. A central theme is a braided tensor category structure (i...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.08.011