Space-time filling branes in non critical (super) string theories

ADRIÁN R. LUGO , MAURICIO B. STURLA

NUCLEAR PHYSICS B

Elsevier

Lugar: Amsterdam; Año: 2008 p. 136 - 165

0550-3213

We consider solutions of (super) gravities associated to noncritical (super) string theories in arbitrary space-time dimension$D=p+3$, that describe generically non extremal black $p$-branescharged under NSNS or RR gauge fields, embedded in some noncritical vacuum. In the case of vacuum (uncharged) backgrounds, wesolve completely the problem obtaining {it all} the possiblesolutions, that consist of the $(p+1)$ dimensional Minkowski spacetimes a linear dilaton times a $S^1$, and a three parameter familyof solutions that include $(p+1)$ dimensional Minkowski spacetimes the cigar, and its T-dual $(p+1)$ dimensional Minkowskispace times the trumpet.For NSNS charged solutions, we also solvein closed form the problem, obtaining several families ofsolutions, that include in particular the fundamental non criticalstring solution embedded in the cigar vacuum, recently found inhep-th/0604202, and a solution that we interpret as a fundamentalnon critical string embedded in the linear dilaton vacuum.In the case of RR charged $Dp$-branes solutions, an ans"atz allows us tofind a non conformal, constant curvature, asymptotically$AdS_{1,p+1}$ space, T-dual to $AdS_{1,p+2}$, together with athree-parameter family of solutions that includes the nonconformal, $AdS$ black hole like solution associated with theearlier space.The solutions obtained by T-duality are Einstein spaces withconstant dilaton and include, in particular, the AdS black hole ofhep-th/0403254.We speculate about the possible applications ofsome of them in the framework of the gauge-gravity correspondence.