(Pseudo-)Trace Functions and Modular Invariance of Vertex Operator Algebra
نویسنده
چکیده
By including interlocked modules, we showed a modular invariance property of (pseudo) trace functions of modules for a 2-dimensional conformal field theory satisfying C 2-finiteness condition.
منابع مشابه
Modular Invariance of Vertex Operator Algebras Satisfying C 2 -cofiniteness
We investigate trace functions of modules for vertex operator algebras satisfying C2-cofiniteness. For the modular invariance property, Zhu assumed two conditions in [Zh]: A(V ) is semisimple and C2-cofiniteness. We show that C2-cofiniteness is enough to prove a modular invariance property. For example, if a VOA V is C2cofinite, then the space spanned by generalized characters (pseudo-trace fun...
متن کاملModular invariance of vertex operator algebras satisfying C 2 - cofiniteness Masahiko Miyamoto
We investigate trace functions of modules for vertex operator algebras satisfying C2-cofiniteness. For the modular invariance property, Zhu assumed two conditions in [Zh]: A(V ) is semisimple and C2-cofiniteness. We show that C2cofiniteness is enough to prove a modular invariance property. For example, if a VOA V = ⊕m=0Vm is C2-cofinite, then the space spanned by generalized characters (pseudo-...
متن کامل3 Differential equations , duality and modular invariance
Let V be a vertex operator algebra satisfying the following conditions: (i) V(n) = 0 for n < 0 and V(0) = C1, (ii) every N-gradable weak V -module is completely reducible and (iii) V is C2-cofinite. Then the q-traces of products of geometrically-modified intertwining operators are shown to satisfy modular invariant systems of differential equations which, for any fixed modular parameter, are re...
متن کاملDifferential equations, duality and modular invariance
We solve the problem of constructing all chiral genus-one correlation functions from chiral genus-zero correlation functions associated to a vertex operator algebra satisfying the following conditions: (i) V(n) = 0 for n < 0 and V(0) = C1, (ii) every N-gradable weak V module is completely reducible and (iii) V is C2-cofinite. We establish the fundamental properties of these functions, including...
متن کاملModular invariance for conformal full field algebras
Let V L and V R be simple vertex operator algebras satisfying certain natural uniqueness-of-vacuum, complete reducibility and cofiniteness conditions and let F be a conformal full field algebra over V L ⊗ V . We prove that the qτ -qτ -traces (natural traces involving qτ = e2πiτ and qτ = e2πiτ ) of geometrically modified genus-zero correlation functions for F are convergent in suitable regions a...
متن کامل