Geometric torsion, 4-form, Riemann duals and Quintessence
arXiv:2001.04404 · doi:10.1142/S0218271821500115
Abstract
We revisit an emergent gravity scenario in dimensions underlying a propagating geometric torsion with a renewed interest. We show that a pair-symmetric th order curvature tensor is sourced by a two-form Neveu-Schwarz (NS) in a gauge theoretic formulation. Interestingly the new space-time curvature governs a torsion free geometry sourced by a two-form NS field and shares the properties of the Riemann tensor. On the other hand, a completely anti-symmetric th order tensor in the formulation is shown to incorporate a dynamical geometric torsion correction and is argued to be identified with a non-perturbative correction. The four-form turns out to be gauge invariant underlying an onshell NS form. We show that an emergent gravity theory may elegantly be described with an axionic scalar presumably signifying a quintessence coupling to the Riemann type geometries. The curvatures are appropriately worked out to obtain a emergent {\it form} theory. Investigation reveals that a pair of -brane is created across an event horizon. We show that an emergent theory in a decoupling limit identifies with the bosonic sector of Supergravity in .
arXiv comment24 pages. arXiv admin note: text overlap with arXiv:1610.07347
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