Classical Virasoro irregular conformal block II

TL;DR

This paper introduces a systematic method to evaluate the classical limit of Virasoro irregular conformal blocks for any rank, confirming their exponential form and providing detailed calculations for rank 2.

Contribution

It develops a new systematic approach for computing the classical limit of Virasoro irregular conformal blocks for arbitrary rank, and proves their exponential form.

Findings

Confirmed the exponential form of the classical irregular conformal block.

Provided explicit calculations for the rank 2 case.

Established a systematic evaluation method for arbitrary rank.

Abstract

We present a new systematic way to evaluate the classical limit of the Virasoro irregular conformal block for arbitrary rank n based on the irregular partition function. In addition, we prove that the classical irregular conformal block has the exponential form as suggested by A. Zamolodchikov and Al. Zamolodchikov for the regular case. We provide an explicit calculation for the rank 2 case in detail.