http://inspirehep.net/record/499969/files/arXiv:hep-th_9905111.pdf

Large N Field Theories, String Theory and Gravity

A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann surfaces inside K3 or CY manifolds. In some cases the theory at low energies is a conformal field theory with two less dimensions. We find some non-singular supersymmetric compactifications of M-theory down to AdS5. We also propose a criterion for permissible singularities in supergravity solutions. In the second part of this paper, which can be read independently of the first, we show that there are no non-singular Randall-Sundrum or de-Sitter compactifications for large class of gravity theories.

http://cds.cern.ch/record/445802/files/0007018.pdf

Supergravity description of field theories on curved manifolds and a no go theorem

Fivebranes, membranes and non-perturbative string theory

We describe the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Anti-de Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the field theory is approximated by classical or semiclassical gravity. We focus on the case of the N = 4 supersymmetric gauge theory in four dimensions.

/pdf/large-n-field-theories-string-theory-and-gravity-553lwurul1.pdf

Large N field theories, string theory and gravity

Gauging the d = 5 Maxwell-Einstein Supergravity Theories: More on Jordan Algebras

Two-dimensional supersymmetric nonlinear σ-models with torsion

The unitary supermultiplets of d = 3 anti-de Sitter and d = 2 conformal superalgebras

The authors show that in addition to the d=5, N=2 Maxwell-Einstein supergravity theories (MESGT) associated with Jordan algebras there is one other class with a symmetric target space which yields the non-compact CPn models of Luciani (1978), upon dimensional reduction to four dimensions. It follows that all d=4 symmetric space MESGT have their origin in d=5. They also begin an investigation into 'kinky supergravities', i.e. those for which the target manifold interpolates between two symmetric spaces. They point out that d=5, N=2 MESGT are related to d=11 supergravity by compactification on Calabi-Yau spaces.

http://iopscience.iop.org/article/10.1088/0264-9381/3/5/007/pdf

G. Sierra

Papers

Gauging the d = 5 Maxwell-Einstein Supergravity Theories: More on Jordan Algebras

Two-dimensional supersymmetric nonlinear σ-models with torsion

The unitary supermultiplets of d = 3 anti-de Sitter and d = 2 conformal superalgebras

More on d=5 Maxwell-Einstein supergravity: symmetric spaces and kinks

Vanishing Potentials in Gauged $N=2$ Supergravity: An Application of Jordan Algebras