Compact automorphism groups of vertex operator algebras
نویسندگان
چکیده
Let V be a simple vertex operator algebra which admits the continuous, faithful action of a compact Lie group G of automorphisms. We establish a Schur-Weyl type duality between the unitary, irreducible modules for G and the irreducible modules for V G which are contained in V where V G is the space of G-invariants of V. We also prove a concomitant Galois correspondence between vertex operator subalgebras of V which contain V G and closed Lie subgroups of G in the case that G is abelian. These results extend those of [DM1] and [DM2].
منابع مشابه
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