Conformal Blocks for Arbitrary Spins in Two Dimensions

TL;DR

This paper derives explicit formulas for conformal blocks involving fields with arbitrary spins in two dimensions, expressed as products of hypergeometric functions, extending previous scalar results and enabling applications to energy-momentum tensor correlators.

Contribution

It provides a general integral representation for conformal blocks of arbitrary spins in 2D, expressed as hypergeometric functions, expanding the toolkit for conformal field theory calculations.

Findings

Explicit conformal blocks for arbitrary spins derived

Results expressed as products of hypergeometric functions

Applications discussed for energy-momentum tensor correlators

Abstract

Conformal blocks for four point functions for fields with arbitrary spins in two dimensions are obtained by evaluating an appropriate integral. The results are just products of hypergeometric functions of the conformally invariant cross ratios formed from the four complex coordinates. Results for scalars previously obtained are a special case. Applications to four point functions involving the energy momentum tensor are discussed.