Correlators in W_N Minimal Model Revisited

TL;DR

This paper analyzes correlation functions in the W_N minimal model, revealing large N factorization and identifying particles in the holographic dual, with explicit calculations of sphere and torus correlators.

Contribution

It provides exact sphere three-point functions using affine Toda theory and constructs torus two-point functions, advancing understanding of holographic duals in W_N models.

Findings

Large N factorization of three-point functions

Identification of fundamental particles and bound states

Explicit construction of torus two-point functions

Abstract

In this paper, we study a class of sphere and torus correlation functions in the W_N minimal model. In particular, we show that a large class of exact sphere three-point functions of W_N primaries, derived using affine Toda theory, exhibit large N factorization. This allows us to identify some fundamental particles and their bound states in the holographic dual, including light states. We also derive the torus two-point function of basic primaries, by directly constructing the relevant conformal blocks. The result can then be analytically continued to give the Lorentzian thermal two-point functions.