Quantum Kerr tunneling vacua on a $(D\bar{D}{)}_4$-brane: An emergent Kerr black hole in five dimensions

Abstract

We revisit a non-perturbative space-time curvature theory, underlying a two form U(1) gauge dynamics, on a D4-brane. In particular, two different gauge choices for a two form are explored underlying the dynamics of a geometric torsion in a second order formalism. We obtain two non-extremal quantum Kerr geometries in five dimensions on a pair of $(D\bar{D}{)}_4$-brane in a type IIA superstring theory. The quantum vacua are described by a vanishing torsion in a gauge choice, underlying a geometric realization, on a non-BPS brane. It is argued that the quantum Kerr vacua undergo tunneling and lead to a five dimensional Kerr black hole in Einstein vacuum. A low energy limit in the quantum Kerr vacua further re-assures an emergent Kerr black hole.

21 pages, 8 figures

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• Quantum effects in topological and Schwarzschild de Sitter brane: Aspects of torsion on $(\mathbf{D}\bar{\mathbf{D}}{)}_4$-brane universe
• Aspects of Gravitational Wave/Particle Duality: Bulk Torsion $\leftrightarrow$ Boundary Gravity Correspondence
• Mass generation from a non-perturbative correction: Massive NS-field and graviton in $(3+1)$-dimensions
• Geometric torsion, 4-form, Riemann duals and Quintessence
• Exact Geometries from Boundary Gravity