We construct a conformal supergravity using the AdS/CFT correspondence. We derive the five dimensional conformal supergravity which plays the role of sources for the operators in five dimensional SCFT. ∗e-mail: [email protected]

By introducing a nonlinearly transforming goldstino field non-supersymmetric matter can be coupled to supergravity. This implies the possibility of coupling a standard model with one Higgs to supergravity.

A general approach to formulation of supergravity in higher order anisotropic superspaces (containing as particular cases different supersymmetric extensions and prolongations of Riemann, Finsler, Lagrange and Kaluza–Klein spaces) is given. We analyze three models of locally anisotropic supergravity.

As a test of the conjectured QCD/supergravity duality, we consider mass gaps in the supergravity construction of QCD2. We find a mass gap in the dual field theory both when using non-rotating and rotating black D2-branes as backgrounds in the supergravity construction of QCD2. So, since pure QCD2 does not have a mass gap, the dual field theory of the supergravity construction of QCD2 cannot be ...

We construct explicit consistent Kaluza–Klein reductions of type IIB supergravity on HK4 × S, where HK4 is an arbitrary four-dimensional hyper-Kähler manifold, and on SE5, an arbitrary five-dimensional Sasaki– Einstein manifold. In the former case we obtain the bosonic action of D = 5 N = 4 (ungauged) supergravity coupled to two vector multiplets. For the SE5 case we extend a known reduction, w...

We consider generic N = 1 supersymmetric matter coupled to linearized N = 1 supergravity through the multiplet of currents. By completing the square, we find the effective action giving the leading supergravity induced correction to the matter dynamics, expressed explicitly as a quadratic form in the components of the current multiplet. The effective action is supersymmetry invariant through an...

Supersymmetry constraints on higher derivative couplings in maximal supergravity theories have been investigated extensively in the past [1–7] and have led to remarkable exact results on the quantum effective action of string theory. The method of Refs. [3,8–10] in obtaining constraints on higher derivative terms in gauge and gravity theories with maximal supersymmetry was by explicitly analyzi...

We review the question of quantum consistency of N = 4 conformal supergravity in 4 dimensions. The UV divergences and anomalies of the standard (‘minimal’) conformal supergravity where the complex scalar φ is not coupled to the Weyl graviton kinetic term can be cancelled by coupling this theory to N = 4 super Yang–Mills with gauge group of dimension 4. The same turns out to be true also for the...

We review the question of quantum consistency of N = 4 conformal supergravity in 4 dimensions. The UV divergences and anomalies of the standard (‘minimal’) conformal supergravity where the complex scalar φ is not coupled to the Weyl graviton kinetic term can be cancelled by coupling this theory to N = 4 super Yang–Mills with gauge group of dimension 4. The same turns out to be true also for the...

We construct a new class of (p, q)-extended Poincaré supergravity theories in 2+1 dimensions as Chern-Simons theories of supersymmetry algebras with both central and automorphism charges. The new theories have the advantage that they are limits of corresponding (p, q) adS supergravity theories and, for not too large a value of N = p + q, that they have a natural formulation in terms of offshell...