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Starting from an anisotropic (in all directions including the time direction of the brane) non-SUSY D2 brane solution of type IIA string theory we construct an anisotropic space-like D2 brane (or SD2 brane, for short) solution by the standard trick of a double Wick rotation. This solution is characterized by five independent parameters. We show that compactification on six...

We construct two new SL(2, ℤ) invariant vacua of type IIB string theory which are bound states of (p, q) strings with (m, n) 5-branes, written as ((F, D1), (NS5, D5)) and preserve 1/4 of the full space-time supersymmetries. For the first case, the strings live inside the 5-brane world-volume and in the second case the strings are perpendicular to the 5-brane world-volume. In the...

It is known from the work in [1] of Lu et al. that the non-supersymmetric charged D3-brane (with anisotropies in time as well as one of the spatial directions of D3-brane) of type IIB string theory is characterized by five independent parameters. By fixing one of the parameters and zooming into a particular region of space-time we construct a four parameter family of solution in...

We study the graviton scattering in the background of non-susy Dp branes of type II string theories consisting of a metric, a dilaton and a (p + 1) form gauge field. We show numerically that in these backgrounds graviton experiences a scattering potential which takes the form of an infinite barrier in the low energy (near brane) limit for p ≤ 5 and therefore is never able to...

We consider the space-like Dp brane solutions of type II string theories having isometries ISO(p + 1) × SO(8 − p, 1). These are asymptotically flat solutions or in other words, the metrics become flat at the time scale τ ≫ τ 0. On the other hand, when τ ∼ τ 0, we get (p + 1) + 1 dimensional flat FLRW metrics upon compactification on a (8 − p) dimensional hyperbolic space with...

A class of (2+1)-dimensional quantum many body system characterized by an anisotropic scaling symmetry (Lifshitz symmetry) near their quantum critical point can be described by a (3+1)-dimensional dual gravity theory with negative cosmological constant along with a massive vector field, where the scaling symmetry is realized by the metric as an isometry. We calculate the...