We introduce a computational technique for studying non-supersymmetric deformations of domain wall solutions of interest in AdS/CFT. We focus on the KlebanovStrassler solution, which is dual to a confining gauge theory. From an analysis of asymptotics we find that there are three deformations that leave the ten-dimensional supergravity solution regular and preserve the global bosonic symmetries...

We show that strongly monotone systems of ordinary differential equations which have a certain translation-invariance property are so that all solutions converge to a unique equilibrium. The result may be seen as a dual of a well-known theorem of Mierczynski for systems that satisfy a conservation law. An application to a reaction of interest in biochemistry is provided as an illustration.

We show that N = 8 self-dual supergravity theory, which is the consistent background for N = 2 closed superstring theory in 2 + 2-dimensions, can accommodate the recently discovered two-dimensional dilaton gravity black hole solution, via appropriate dimensional reductions and truncations. Interestingly, the usual dilaton field in this set of solutions emerges from the scalar field in the 70-di...

We construct a class of analytic solutions of WZW-type open superstring field theory describing marginal deformations of a reference D-brane background. The deformations we consider are generated by on-shell vertex operators with vanishing operator products. The superstring solution exhibits an intriguing duality with the corresponding marginal solution of the bosonic string. In particular, the...

We study U(1) and U(2) noncommutative instantons on RNC ×RC based on the ADHM construction. It is shown that the instanton solutions are always regular for both self-dual and anti-self-dual gauge fields even though any projected states are not involved in the ADHM construction. Furthermore the instanton number is also an integer. [email protected] [email protected] [email protected]....

We present new supersymmetric AdS3 solutions of type IIB supergravity and AdS2 solutions of D = 11 supergravity. The former are dual to conformal field theories in two dimensions with N = (0, 2) supersymmetry while the latter are dual to conformal quantum mechanics with two supercharges. Our construction also includes AdS2 solutions of D = 11 supergravity that have non-compact internal spaces w...

We present new supersymmetric AdS3 solutions of type IIB supergravity and AdS2 solutions of D = 11 supergravity. The former are dual to conformal field theories in two dimensions with N = (0, 2) supersymmetry while the latter are dual to conformal quantum mechanics with two supercharges. Our construction also includes AdS2 solutions of D = 11 supergravity that have non-compact internal spaces w...

we survey the recent investigations on (bounded, sequential) approximate connesamenability and pseudo-connes amenability for dual banach algebras. we will discuss thecore problems concerning these notions and address the signicance of any solutions to themto the development of the eld.

In these lectures I review classical aspects of the self-dual Chern-Simons systems which describe charged scalar fields in 2 + 1 dimensions coupled to a gauge field whose dynamics is provided by a pure Chern-Simons Lagrangian. These self-dual models have one realization with nonrelativistic dynamics for the scalar fields, and another with relativistic dynamics for the scalars. In each model, th...