Computation Of Some Zamolodchikov Volumes, With An Application

TL;DR

This paper calculates the Zamolodchikov volumes of certain moduli spaces of conformal field theories with specific target spaces and discusses implications for holographic duals in string theory.

Contribution

It provides explicit computations of Zamolodchikov volumes for moduli spaces related to K3, T4, and their symmetric products, and explores their holographic duals.

Findings

Computed Zamolodchikov volumes for K3, T4, and symmetric products.

Sequences of such conformal field theories rarely have weakly coupled gravity duals.

Abstract

We compute the Zamolodchikov volumes of some moduli spaces of conformal field theories with target spaces K3, T4, and their symmetric products. As an application we argue that sequences of conformal field theories, built from products of such symmetric products, almost never have a holographic dual with weakly coupled gravity.