Orbifold Conformal Field Theory and One-Loop Self-Energy in the $S_N\R^D$ Orbifold Sigma Model

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Master Thesis

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Abstract

In this thesis both mathematical and physical aspects of orbifold conformal field theory are described. We present a set-up to do a one-loop self-energy computation in the $S_N \R^D$ orbifold sigma model. Furthermore, we develop a mathematical framework to deal with computations in orbifold conformal field theories.

Keywords

Conformal field theory, string theory, vertex operator algebras, twist fields, twisted vertex algebras, covering maps, orbifold conformal field theory, vertex algebras, conformal vertex algebras, riemann surfaces, theta functions,

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