# A new generalized Wick theorem in conformal field theory

## TL;DR

This paper introduces a new generalized Wick theorem for interacting fields in 2D conformal field theory, connecting it to the Borcherds identity and demonstrating its use in operator product expansions with fermionic fields.

## Contribution

It presents a novel generalized Wick theorem for 2D conformal field theory, expanding the tools for calculating operator product expansions involving interacting and fermionic fields.

## Key findings

- Derived the generalized Wick theorem and related it to Borcherds identity.
- Applied the theorem to compute operator product expansions with fermionic fields.
- Provided examples demonstrating the theorem's utility in conformal field theory calculations.

## Abstract

A new generalized Wick theorem for interacting fields in 2D conformal field theory is described. We briefly discuss its relation to the Borcherds identity and its derivation by an analytic method. Examples of the calculations of the operator product expansions by using the generalized Wick theorems including fermionic fields are also presented.