We show that in order to understand the higher-dimensional origin of all supersymmetric branes in (toroidally) compactified string theory one needs to extend the family of branes with an additional set of so-called ``generalized monopoles''. We will show what these monopoles are and how they lead to interesting ``wrapping rules'' for the branes in string theory.

N = 2 SuperConformal QCD is perhaps the simplest theory outside the N = 4 "universality class" that we can attempt to study holographically. It is moreover continuously connected to the N = 4 class by an interpolating family of N = 2 SCFT. Careful analysis of its chiral spectrum points towards a gravity dual description via a non-critical string background. We then turn to the study of spin chains. The complete one-loop Hamiltonian and some higher-loop results already reveal a rich dynamics. We present past results and current progress.

Recent results (arXiv:1107.1872 and arXiv:1107.5028) will be presented about nonabelian interactions for simple mixed-symmetry gauge fields in AdS background.

Consistent truncations have proved to be powerful tools in the construction of new string theory solutions. Recently, they have been employed in the holographic description of condensed matter systems. In the talk, I will present a rich class of supersymmetric consistent truncations of higher-dimensional supergravity which are based on geometric structures, focusing on the tri-Sasakian case. Then I will discuss some applications, including a general result relating AdS backgrounds to solutions with non-relativistic Lifshitz symmetry.

We explain how inequalities similar to the Penrose inequality provide a simple way of demonstrating classical instability of certain black hole solutions.

I will provide a brief general introduction into non-Hermitian Hamiltonian systems with real eigenvalue spectra, arguing that they represent well defined self consistent physical systems. Such type of models possess usually an antilinear symmetry, as for instance PT-invariance (simultaneous parity and time reversal) and/or are quasi/pseudo Hermitian. Most crucial is that they allow for a consistent quantum mechanical framework possessing a unitary time evolution. The general framework will be applied to some integrable models, such a quantum spin chains, classical integrable systems associated to differential equations and Calogero-Moser-Sutherland models. I will present some recent results.

In this talk we will briefly review the recent progress in the semiclassical string theory calculation of non-BPS gauge theory three-point correlation functions at strong coupling. We will then discuss the light-cone path integral approach to such three-point functions with a focus on near-BMN operators where one can systematically go beyond the semiclassical approximation.

In my talk I will describe a class of gravitational solutions which, in the context of AdS/CFT, are dual to boundary field theories with spontaneous symmetry breaking and thus give rise to a superfluid phase. I will give a general introduction to the ideas of quantum criticality and how AdS/CFT techniques may be applied to such systems. I will then use the tools of gauge/gravity duality to demonstrate that the boundary description of such systems, in the hydrodynamical limit, is governed by a relativistic generalisation of the Tisza-Landau two-fluid model.

http://www.kcl.ac.uk/nms/depts/physics/news/TheNewPhysics AT theLHC.aspx

I will present recent progress in the understanding of two-dimensional sigma-models on the supergroup PSl(nIn). I will emphasize the relevance of these models to study quantum integrability in the AdS/CFT correspondence. In particular i will explain the computation of the fusion of some line operators, the transfer matrices, that encode an infinite number of conserved charges. This computation leads to a first-principle, perturbative derivation of the Hirota equation, which has been argued to provide a solution to the spectrum problem in N=4 SYM.

We revisit the relation of the six-dimensional (2, 0) M5-brane Conformal Field Theory compactified on a circle to 5D maximally supersymmetric Yang-Mills Gauge Theory. We show that in the broken phase 5D super-Yang-Mills contains a spectrum of soliton states that can be identified with the complete Kaluza-Klein modes of an M2-brane ending on the M5-branes. This provides evidence that the (2,0) theory on a circle is equivalent to 5D super-Yang-Mills with no additional UV degrees of freedom, suggesting that the latter is in fact a well-defined quantum theory and possibly finite.

We reformulate M-theory in a duality manifest way using generalised geometry.