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- W3037131344 abstract "In physics, it is believed that the consistency of two dimensional conformal field theory follows from the bootstrap equation. In this paper, we introduce the notion of a full vertex algebra by analyzing the bootstrap equation, which is a real analytic generalization of a $mathbb{Z}$-graded vertex algebra. We also give a mathematical formulation of the consistency of four point correlation functions in two dimensional conformal field theory and prove it for a full vertex algebra with additional assumptions on the conformal symmetry. In particular, we show that the bootstrap equation together with the conformal symmetry implies the consistency of four point correlation functions. As an application, a deformable family of full vertex algebras parametrized by the Grassmanian is constructed, which appears in the toroidal compactification of string theory. This give us examples satisfying the above assumptions." @default.
- W3037131344 created "2020-07-02" @default.
- W3037131344 creator A5091823560 @default.
- W3037131344 date "2020-06-29" @default.
- W3037131344 modified "2023-10-01" @default.
- W3037131344 title "Full vertex algebra and bootstrap -- consistency of four point functions in 2d CFT" @default.
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