Noncommutative brane-world, (Anti) de Sitter vacua and extra dimensions

Abstract

We investigate a curved brane-world, inspired by a noncommutative D 3 -brane, in a type IIB string theory. We obtain, an axially symmetric and a spherically symmetric, (anti) de Sitter black holes in 4D. The event horizons of these black holes possess a constant curvature and may be seen to be governed by different topologies. The extremal geometries are explored, using the noncommutative scaling in the theory, to reassure the attractor behavior at the black hole event horizon. The emerging two dimensional, semi-classical, black hole is analyzed to provide evidence for the extra dimensions in a curved brane-world. It is argued that the gauge nonlinearity in the theory may be redefined by a potential in a moduli space. As a result, D = 11 and D = 12 dimensional geometries may be obtained at the stable extrema of the potential.

Quintessence and effective AdS brane geometries

“…The idea AdS/CFT, underlying an AdS gravity in bulk and a gauge theory at its boundary, has been extended to investigate a correspondence between a de Sitter (dS) gravity and gauge theory. 10,11 Various interesting notions such as lower-dimensional branes within a higher-dimensional D-brane, 12 a discrete torsion, 13 nonlinear gauge theory on a D-brane, 14 near horizon geometries on a D-brane [15][16][17][18][19][20][21][22][23][24][25][26][27][28] and string cosmology underlying a pair of D-brane/anti-brane universe [29][30][31] have intensely been discussed in literatures. In particular, the string bulk has been explored for a constant NS two form in the presence of an electromagnetic field.…”

Quintessence and effective RN de Sitter brane geometries

“…Since closed strings are tangential to a D p -brane, Einstein a e-mail: kppandey@physics.du.ac.in b e-mail: abhishek151983@gmail.com c e-mail: sunita@physics.du.ac.in d e-mail: richa.phy@du.ac.in e e-mail: skkar@physics.du.ac.in gravity is believed to decouple from a D p -brane world volume [2]. Nevertheless a non-linear U (1) gauge field is well known to describe an effective open string metric on a D pbrane and leads to a number of near horizon geometries [3][4][5][6][7][8][9][10][11][12][13][14][15]. In fact a constant Neveu-Schwarz (NS) two form background in an open string theory, in combination with an electromagnetic field, forms a gauge invariant field strength which governs the non-linear U (1) charge on a D p -brane.…”

“…The background metric for a D 4 -brane gauge dynamics presumably describes a hiddenD 4 -brane in the formalism. A priori, the D 4 -brane vacuum may be seen to be governed by an effective black hole essentially sourced by the global modes of a NS two form [3][4][5][6][7][8][9][10][11][12][13][14][15]. Then the two form in the gauge theory may be seen to vacuum create a pair of (DD) 3 -branes at the past horizon of a background pure de Sitter.…”

Entropy function and attractors for AdS black holes

“…These parameters are then determined by extremizing the entropy function F . The formalism has been successfully applied to the study of general non-supersymmetric asymptotically flat black holes in various supergravity settings [21][22][23][24][25][26][27][28][29][30][31][32].…”