K. Priyabrat Pandey

Discrete torsion, de Sitter tunneling vacua and AdS brane: U(1) gauge theory on D4-brane and an effective curvature

A bstractThe U(1) gauge dynamics on a D4-brane is revisited, with a two form, to construct an effective curvature theory in a second order formalism. We exploit the local degrees in a two form, and modify its dynamics in a gauge invariant way, to incorporate a non-perturbative metric fluctuation in an effective D4-brane. Interestingly, the near horizon D4-brane is shown to describe an asymptotic Anti de Sitter (AdS) in a semi-classical regime. Using Weyl scaling(s), we obtain the emergent rotating geometries leading to primordial de Sitter (dS) and AdS vacua in a quantum regime. Under a discrete transformation, we re-arrange the mixed dS patches to describe a Schwazschild-like dS (SdS) and a topological-like dS (TdS) black holes. We analyze SdS vacuum for Hawking radiations to arrive at Nariai geometry, where a discrete torsion forms a condensate. We perform thermal analysis to identify Nariai vacuum with a TdS. Investigation reveals an AdS patch within a thermal dS brane, which may provide a clue to unfold dS/CFT. In addition, the role of dark energy, sourced by a discrete torsion, in the dS vacua is investigated using Painleve geometries. It is argued that a D-instanton pair is created by a discrete torsion, with a Big Bang/Crunch, at the past horizon in a pure dS. Nucleation, of brane/anti-brane pair(s), is qualitatively analyzed to construct an effective space-time on a D4-brane and its anti brane. Analysis re-assures the significant role played by a non-zero mode, of NS-NS two form, to generalize the notion of branes within a brane.

Quantum Kerr tunneling vacua on a

Abstract A non-perturbation formalism underlying a quantum theory of gravity is revisited by exploiting a two form in a non-linear U ( 1 ) gauge theory on a D 4 -brane. In particular, we explore two different gauge choices for a two form underlying the dynamics of a higher dimensional geometric torsion in a second order formalism. We obtain two non-extremal quantum Kerr geometries in five dimensions on a pair of ( D D ¯ ) 4 -brane in a type IIA superstring theory. In the gauge choice, the quantum vacua may seen to underlie a non-propagating torsion on a non-BPS brane. It is argued that the quantum Kerr vacua undergo tunneling and lead to a five dimensional Einstein Kerr black hole in a low energy limit.

(D{\bar D})_4

We obtain a Schwarzschild and Reissner-Nordstrom emergent black holes by exploring the torsion dynamics in a generalized curvature formulation, underlying an effective

-brane: An emergent Kerr black hole in five dimensions

{D}_{4}

Emergent Schwarzschild and Reissner-Nordstrom black holes in four dimensions: An effective curvature sourced by a B 2 -field on a D 4 -brane

-brane on

Quantum Kerr(Newman) degenerate stringy vacua in 4D on a non-BPS brane

{S}^{1}

Quintessence and effective RN de Sitter brane geometries

. It is shown that a constant effective metric, sourced by a background fluctuation in

Emergent Gravity/Non-linear U (1) Gauge Theory Correspondence

{B}_{2}

Non-perturbative quantum effects in stringy degenerate geometries: Vacuum created pair of

potential, on a

(D{\bar D})_3

{D}_{3}