ABELIAN CONFORMAL FIELD THEORY AND DETERMINANT BUNDLES
نویسندگان
چکیده
منابع مشابه
Abelian Conformal Field theories and Determinant Bundles
The present paper is the first in a series of papers, in which we shall construct modular functors and Topological Quantum Field Theories from the conformal field theory developed in [TUY]. The basic idea is that the covariant constant sections of the sheaf of vacua associated to a simple Lie algebra over Teichmüller space of an oriented pointed surface gives the vector space the modular functo...
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Following [KNTY] we study a so-called bc-ghost system of zero conformal dimension from the viewpoint of [TUY] and [U2]. We show that the ghost vacua construction results in holomorphic line bundles with connections over holomorphic families of curves. We prove that the curvature of these connections are up to a scale the same as the curvature of the connections constructed in [TUY] and [U2]. We...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2007
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x07004369