Modular-Invariance of Trace Functions¶in Orbifold Theory and Generalized Moonshine
نویسندگان
چکیده
منابع مشابه
Modular-invariance of trace functions in orbifold theory
The goal of the present paper is to provide a mathematically rigorous foundation to certain aspects of the theory of rational orbifold models in conformal field theory, in other words the theory of rational vertex operator algebras and their automorphisms. Under a certain finiteness condition on a rational vertex operator algebra V which holds in all known examples, we determine the precise num...
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The purpose of this paper is to give a purely equivariant definition of orbifold Chow rings of quotient Deligne-Mumford stacks. This completes a program begun in [JKK] for quotients by finite groups. The key to our construction is the definition (Section 6.1), of a twisted pullback in equivariant K-theory, KG(X) → KG(I2G(X)) taking non-negative elements to non-negative elements. (Here I G (X) =...
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The goal of this paper is to construct infinite dimensional Lie algebras using infinite product identities, and to use these Lie algebras to reduce the generalized moonshine conjecture to a pair of hypotheses about group actions on vertex algebras and Lie algebras. The Lie algebras that we construct conjecturally appear in an orbifold conformal field theory with symmetries given by the monster ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2000
ISSN: 0010-3616
DOI: 10.1007/s002200000242