Tunneling between de Sitter and anti de Sitter black holes in a noncommutative D3-brane formalism

TL;DR

This paper explores the theoretical possibility of tunneling from an anti-de Sitter vacuum to a de Sitter vacuum within a noncommutative D3-brane framework, revealing insights into vacuum transitions in string theory.

Contribution

It introduces a novel approach using noncommutative gauge theory on D3-branes to model vacuum tunneling between AdS and dS geometries in string theory.

Findings

Derived generalized Reissner-Nordstrom black hole geometries in a noncommutative setting

Proposed a mechanism for AdS to dS vacuum tunneling via noncommutative scaling limit

Linked Hagedorn transition to decouple gauge nonlinearity from dS geometry

Abstract

We obtain dS and AdS generalized Reissner-Nordstrom like black hole geometries in a curved D3-brane frame-work, underlying a noncommutative gauge theory on the brane-world. The noncommutative scaling limit is explored to investigate a possible tunneling of an AdS vacuum in string theory to dS vacuum in its low energy gravity theory. The Hagedorn transition is invoked into its self-dual gauge theory to decouple the gauge nonlinearity from the dS geometry, which in turn is shown to describe a pure dS vacuum.