Quantum effects in topological and Schwarzschild de Sitter brane: Aspects of torsion on (D(D)over-bar)(4)-brane

摘要

We investigate an effective torsion curvature in a second-order formalism underlying a two-form world-volume dynamics in a D-5-brane. In particular, we consider the two form in presence of a background (open string) metric in a U(1) gauge theory. Interestingly the formalism may be viewed via a noncoincident pair of (D (D) over bar)(5)-brane with a global Nereu-Schwarz (NS) two form on an anti-brane and a local two form on a brane. The energy-momentum tensor is computed in the six-dimensional (6D) conformal field theory (CFT). It is shown to source a metric fluctuation on a vacuum created pair of (D (D) over bar)(4)-brane at a cosmological horizon by the two-form quanta in the gauge theory. The emergent gravity scenario is shown to describe a low-energy (perturbative) string vacuum in 6D with a nonperturbative (NP) quantum correction by a lower (p < 5) dimensional Dp-brane or an anti-brane in the formalism. A closed string exchange between a pair of (D <(D)over bar>)(4)-brane, underlying a closed/open string duality, is argued to describe the Einstein vacuum in a low-energy limit. We obtain topological de Sitter (TdS) and Schwarzschild brane universe in six dimensions. The brane/anti-brane geometries are analyzed to explore some of their characteristic and thermal behaviors in presence of the quantum effects. They reveal an underlying nine-dimensional type IIA and IIB superstring theories on S-1.