# Quantum String Test of Nonconformal Holography

## TL;DR

This paper calculates quantum corrections to the effective string tension in a holographic dual of a supersymmetric Yang-Mills theory, confirming the predictions of field theory with string theory computations at strong coupling.

## Contribution

It provides the first explicit comparison between string theory and field theory calculations of Lüscher corrections in a nonconformal holographic background.

## Key findings

- Complete agreement between string and field theory results.
- Validation of holographic duality in nonconformal settings.
- Advancement in understanding quantum string effects in holography.

## Abstract

We compute L\"uscher corrections to the effective string tension in the Pilch-Warner background, holographically dual to $\mathcal{N}=2^*$ supersymmetric Yang-Mills theory. The same quantity can be calculated directly from field theory by solving the localization matrix model at large-$N$. We find complete agreement between the field-theory predictions and explicit string-theory calculation at strong coupling.