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

Abstract

We obtain axionic charged primordial black holes on a vacuum created gravitational pair of (33)-brane by the Kalb-Ramond field on a D 4 -brane in presence of a background open string metric. The new geometries on an emergent pair of (33)-brane universe is shown to be influenced by the non-perturbative quantum effects underlying a geometric torsion in a second order formalism. The presence of small extra dimensions transverse to the pair in the formalism ensures dynamical scalar fields hidden to a 3-brane or a3-brane universe. We investigate the non-perturbative quantum vacua for their characteristic properties to explain the accelerated expansion of our universe. Interestingly the emergent brane universe is shown to possess its origin in a degenerate stringy de Sitter vacua at an early epoch. A non-perturbative D p -brane world volume correction for p < 3 is worked out to explain some of the quantum effects underlying a quintessence axion in the string-brane setup. Our analysis reveals that a D-instanton can be a potential candidate to source the dark energy in our brane universe.