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, 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 resemble the scattering equations. Finally, we provide a recipe on how to calculate correlation functions with insertions of the orbifold Virasoro generators.
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Roumpedakis, K. Comments on the SN orbifold CFT in the large N-limit. J. High Energ. Phys. 2018, 38 (2018). https://doi.org/10.1007/JHEP07(2018)038
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DOI: https://doi.org/10.1007/JHEP07(2018)038