Conformal Blocks of Coset Construction: Zero Ghost Number

TL;DR

This paper demonstrates that zero ghost conformal blocks in coset theories are uniquely determined by the blocks of the constituent theories, and it provides explicit calculations for G/G theories.

Contribution

It establishes the unique determination of zero ghost conformal blocks in coset models and computes structure constants and correlation functions for G/G theories.

Findings

Zero ghost conformal blocks are uniquely determined by G and H theories.

Explicit structure constants for G/G theories are calculated.

Correlation functions on the sphere are derived for G/G models.

Abstract

It is shown that zero ghost conformal blocks of coset theory G/H are determined uniquely by those of G and H theories. G/G theories are considered as an example, their structure constants and correlation functions on sphere are calculated.