Gauge theories on hyperbolic spaces and dual wormhole instabilities

TL;DR

This paper investigates supergravity duals of strongly coupled gauge theories on hyperbolic spaces, revealing that Euclidean wormhole backgrounds develop naked singularities and face non-perturbative instabilities, challenging their stability and duality correspondence.

Contribution

It analyzes the stability of Euclidean wormhole backgrounds in supergravity duals of gauge theories on hyperbolic spaces, identifying conditions for instability suppression and the emergence of singularities.

Findings

Wormhole backgrounds develop naked singularities before stabilization.

Non-perturbative D3-anti-D3 pair production causes instabilities.

Conditions for suppressing Schwinger-like instabilities are discussed.

Abstract

We study supergravity duals of strongly coupled four dimensional gauge theories formulated on compact quotients of hyperbolic spaces. The resulting background geometries are represented by Euclidean wormholes, which complicates establishing the precise gauge theory/string theory correspondence dictionary. These backgrounds suffer from the non-perturbative instabilities arising from the D3 - anti-D3 pair production in the background four-form potential. We discuss conditions for suppressing this Schwinger-like instability. We find that Euclidean wormholes arising in this construction develop a naked singularity, before they can be stabilized.