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

Abstract

We investigate some of the quantum gravity effects on a vacuum created pair of (DD) 3 -brane by a non-linear U (1) gauge theory on a D 4 -brane. In particular we obtain a four dimensional quantum Kerr(Newman) black hole in an effective torsion curvature formalism sourced by a two form dynamics in the world-volume of a D 4 -brane on S 1 . Interestingly the event horizon is found to be independent of a non-linear electric charge and the 4D quantum black hole is shown to describe a degenerate vacua in string theory. We show that the quantum Kerr brane universe possesses its origin in a de Sitter vacuum. In a nearly S 2 -symmetric limit the Kerr geometries may seen to describe a Schwarzschild and Reissner-Nordstrom quantum black holes. It is argued that a quantum Reissner-Nordstrom tunnels to a large class of degenerate Schwazschild vacua. In a low energy limit the non-linear electric charge becomes significant at the expense of the degeneracies. In the limit the quantum geometries may identify with the semi-classical black holes established in Einstein gravity. Analysis reveals that a quantum geometry on a vacuum created D 3 -brane universe may be described by a low energy perturbative string vacuum in presence of a nonperturbative quantum correction.

Non-perturbative Quantum Effects in Stringy Degenerate Geometries: Vacuum Created Pair of (DD3)-Brane by a Two Form

“…They donot possess any classical geometric (Einstein) vacuum. Thus, the emergent quantum vacua, obtained in this paper, are indeed different from the brane/anti-brane quantum geometries previously obtained in our other papers [71,72,36,37,38,73,40,53,54,69,70,55].…”

Quintessence and effective AdS brane geometries

“…The nonperturbative quantum term has been shown to possess its origin in an extra dimension between a brane and anti-brane. 37,38 The correction term may appropriately be identified for Q m = 0 to yield:…”

“…[32][33][34][35][36][37][38][39] Primarily a nonlinear gauge dynamics on a D 4 -brane is explored to construct a geometric torsion underlying an effective curvature scalar in a secondorder formalism. The Poincaré duality has played a significant role to identify a gauge theoretic torsion H 3 underlying the U (1) gauge symmetry on a D 4 -brane.…”

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

“…Presumably they hint at a strong-weak coupling duality underlying a non-perturbation space-time curvature and a perturbation gauge theory on a D 4 -brane. We work out the commutator between the appropriate covariant derivatives in second order formalism underlying a geometric torsion [28][29][30][31][32]. For a Minkowskian line element, the commutator simplifies and is given by…”

“…In the context, the external geometries on a D-brane sourced by a zero mode of a two form may be exploited further to address some of the non-external quantum black holes underlying generalized non-perturbation formalism. In fact, the stringy deformations leading to geometric causal patches have been described on a non BPS D-brane [28][29][30][31][32] underlying a non-linear U (1) gauge theory. The emergent quantum vacua on a brane undergo a tunneling phenomenon and lead to some of the plausible classical vacua established in Einstein gravity.…”