Differential equations and logarithmic intertwining operators for strongly graded vertex algebras
نویسندگان
چکیده
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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We show that if every module W for a vertex operator algebra V = ∐ n∈Z V(n) satisfies the condition dimW/C1(W ) < ∞, where C1(W ) is the subspace of W spanned by elements of the form u−1w for u ∈ V+ = ∐ n>0 V(n) and w ∈W , then matrix elements of products and iterates of intertwining operators satisfy certain systems of differential equations. Moreover, for prescribed singular points, there exi...
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For every p ≥ 2, we obtained an explicit construction of a family of W(2, 2p − 1)-modules, which decompose as direct sum of simple Virasoro algebra modules. Furthermore, we classified all irreducible self-dual W(2, 2p − 1)-modules, we described their internal structure, and computed their graded dimensions. In addition, we constructed certain hidden logarithmic intertwining operators among two ...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2017
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199716500097