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Realization of the Space of Conformal Blocks in Lie Algebra Modules

โœ Scribed by Xiandong Wang; Guangyu Shen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
247 KB
Volume
235
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Using integrable irreducible representations of generalized twisted affine Lie algebra modules, we give a realization of the space of conformal blocks of conformal field theory on a stable algebraic curve. Many basic properties of the conformal blocks, such as finite dimensionality of the space, invariance of the conformal blocks under suitable formal neighborhood changes, and the property of ''propagation of vacua'' are discussed. Finally, a relative local 1-form around a fixed point of the order two automorphism of the curve is given. แฎŠ 2001 Academic

Press

Conformal field theory is a two-dimensional quantum field theory in-ลฝ w x. variant under conformal transformations see 1 . These transformations constitute the conformal group G G. It turns out that the conformal group of ลฝ the theory in the complex plane consisting of conformal holomorphic . transformations is infinite dimensional, and it can be written as a direct product

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