Comments on the S N orbifold CFT in the large N-limit

Comments on the S N orbifold CFT in the large N-limit

Blog Article

Abstract We elaborate on various aspects of the conformal field theory of the symmetric orbifold.We collect various results that have appeared in the literature, and we present a coherent picture of the operator content of this CFT, relying on the orbifold extension of the Virasoro algebra.We then focus on the large N-limit of this theory, Power Control Board discuss the OPE of two twist operators, and find various selection rules.We review how to calculate four-point functions of twist operators, and we write down the most general four-point function in the covering space for large N.

We show that it depends on some functions that obey a set of algebraic equations, that Hayward SwimClear Single Element Parts resemble the scattering equations.Finally, we provide a recipe on how to calculate correlation functions with insertions of the orbifold Virasoro generators.