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Vertex algebras and conformal field theory models in four dimensions

✍ Scribed by I. Todorov

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
129 KB
Volume
54
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

The notion of global conformal invariance (GCI) in Minkowski space allows to prove rationality of correlation functions and to extend the concept of vertex algebra to any number D of space‐time dimensions. The case of even D, which includes a conformal stress‐energy tensor with a rational 3‐point function, is of particular interest. Recent progress, reviewed in the talk, includes a full account of Wightman positivity at the 4‐point level for D=4, and a study of modular properties of thermal expectation values of the conformal energy operator.

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