${\mathbf{CFT}}_6$ Bulk/Boundary ${\mathbf{AdS}}_5^{\mathbf{Q}}$ Correspondence and Emergent Gravity

Abstract

We revisit a non-perturbation theory of quantum gravity in $1.5$ order underlying an emergent gravitational pair of $(4\bar{4})$-brane with a renewed interest. In particular the formulation is governed by a geometric torsion ${\mathcal{H}}_3$ in second order with an on-shell NS form in first order. Interestingly the gravitational pair is sourced by a Kalb-Ramond two form CFT on a $D_5$-brane in $d$$=$$10$ type IIB superstring theory. We show that a generic form theory containing a CFT sector in $d=6$ bulk may be described by a boundary ${\mathrm{AdS}}_5$ with a quintessence Q. Analysis reveals that the bulk/boundary duality in emergent gravity can be a potential tool to explore the quintessential cosmology.

5 pages, 1 figure