We use AdS/CFT duality to study the thermodynamics of a strongly coupled N = 2 supersymmetric large Nc SU(Nc) gauge theory with Nf = 2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential μ, a potential on the Higgs branch is generated, corresponding to a potential on the moduli space of instantons in the AdS description. For μ = 0, there is a known first order ph...

E. Frenkel, A. Losev and N. Nekrasov claim that a certain class of theories on compact Kähler manifolds and in particular the “gauged” supersymmetric bc-system on CP are logarithmic conformal field theories. We discuss that proposition on a classical level for the bc-system on CP. The outcome of our investigation conforms to their conjecture. The property of being a logarithmic CFT thus can be ...

We construct and probe a holographic description of a state of matter that results from coupling a Fermi liquid to a relativistic conformal field theory (CFT). The bulk solution is described by a quantum gas of fermions supported from collapse into the gravitational well of anti-de Sitter space by their own electrostatic repulsion. A physical interpretation of our result is that, in the probe l...

We consider certain examples of applications of the general methods, based on geometry and in-tegrability of matrix models, described in [1]. In particular, the nonlinear differential equations, satisfied by quasiclassical tau-functions are investigated. We also discuss a similar quasiclassical geometric picture, arising in the context of multidimensional supersymmetric gauge theories and the A...

We use soliton techniques of the two-dimensional reduced β-function equations to obtain non-trivial string backgrounds from flat space. These solutions are characterized by two integers (n,m) referring to the soliton numbers of the metric and axion-dilaton sectors respectively. We show that the NappiWitten universe associated with the SL(2) × SU(2)/SO(1, 1) × U(1) CFT coset arises as an (1, 1) ...

We show in some lower-dimensional supergravity models that the holographic counterterms which are needed in the AdS/CFT correspondence to make the theory finite, coincide with the counterterms that are needed to make the action supersymmetric without imposing any boundary conditions on the fields.

Two kinds of realizations of symmetry on classical domains or the Euclidean version of AdS space are used to study AdS/CFT correspondence. Mass of free particles is defined as an AdS group invariant, the Klein-Gordon and Dirac equations for relativistic particles in the AdS space are set up as a simple mimic in the case of Minkowskian space. The bulk-boundary propagator on the AdS space is give...

The generic structure of 1-, 2and 3-point functions of fields residing in indecomposable representations of arbitrary rank are given. These in turn determine the structure of the operator product expansion in logarithmic conformal field theory. The crucial role of zero modes is discussed in some detail.

We study the duality between string theory on AdS3 × S × S and twodimensional conformal theories with large N = 4 superconformal algebra Aγ. We discuss configurations of intersecting branes which give rise to such near-horizon geometries. We compute the Kaluza-Klein spectrum and propose that the boundary superconformal theory can be described by a sigma model on a suitable symmetric product spa...

Gravity in d dimensions is formulated as the gauge theory of local SO(2,d-1) gauge group. The Chern-Pontryagin index P2n plays a crucial role in both gravity and gauge theories. P2n(gravity) gives the gravitational Lagrangian in 2n dimensions, having the vacuum solution AdS2n. The same but global symmetry is shared with the gauge theories and 0,1-cochains of the Chern-Simon index C2n(gauge) tak...