Noncommutative brane-world, (Anti) de Sitter vacua and extra dimensions

TL;DR

This paper explores noncommutative brane-world models inspired by string theory, deriving novel (anti) de Sitter black hole solutions with various topologies, and provides evidence for extra dimensions through extremal and semi-classical geometries.

Contribution

It introduces new curved brane-world solutions with (anti) de Sitter black holes and demonstrates how extra dimensions emerge from extremal geometries in a noncommutative string theory context.

Findings

Derived axially symmetric and spherically symmetric (anti) de Sitter black holes.

Identified attractor behavior at black hole horizons using noncommutative scaling.

Provided evidence for extra dimensions via extremal and semi-classical black hole analyses.

Abstract

We investigate a curved brane-world, inspired by a noncommutative D3-brane, in a type IIB string theory. We obtain, an axially symmetric and a spherically symmetric, (anti) de Sitter black holes in 4D. The event horizons of these black holes possess a constant curvature and may be seen to be governed by different topologies. The extremal geometries are explored, using the noncommutative scaling in the theory, to reassure the attractor behavior at the black hole event horizon. The emerging two dimensional, semi-classical, black hole is analyzed to provide evidence for the extra dimensions in a curved brane-world. It is argued that the gauge nonlinearity in the theory may be redefined by a potential in a moduli space. As a result, D=11 and D=12 dimensional geometries may be obtained at the stable extrema of the potential.