Fractional Branes on a Non-compact Orbifold

Fractional branes on the non-compact orbifold \C^3/\Z_5 are studied. First, the boundary state description of the fractional branes are obtained. The open-string Witten index calculated using these states reproduces the adjacency matrix of the quiver of $\Z_5$. Then, using the toric crepant resolution of the orbifold \C^3/\Z_5 and invoking the local mirror principle, B-type branes wrapped on the holomorphic cycles of the resolution are studied. The boundary states corresponding to the five fractional branes are identified as bound states of BPS D-branes wrapping the 0-, 2- and 4-cycles in the exceptional divisor of the resolution of \C^3/\Z_5.Comment: Latex2e, 25 pages, typos corrected, minor modifications, version to appear in JHE

U-duality and Network Configurations of Branes

We explicitly write down the invariant supersymmetry conditions for branes with generic values of moduli and U-duality charges in various space-time dimensions $D \leq 10$. We then use these results to obtain new BPS states, corresponding to network type structure of such branes.Comment: 26 pages, Latex, Title and Text modified (minor modifications), to appear in Int. Jour. Mod. Phys.

AdS black holes with higher derivative corrections in presence of string cloud

We consider asymptotically AdS black hole solutions in presence of string clouds and higher derivative corrections. We find that it admits three black hole solutions within a region of the parameter space. In order to examine the stabilities of these solutions we consider a thermodynamic analysis. Using holography, we have studied the quark-antiquark distance and binding energy in the dual gauge theory.Comment: 25 pages, 27 figures, LaTe