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In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N=1 supermultiplets containing partially massless fields in…

High Energy Physics - Theory · Physics 2019-10-02 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

F(4) supergravity, the gauge theory of the exceptional six-dimensional Anti-de Sitter superalgebra, is coupled to an arbitrary number of vector multiplets whose scalar components parametrize the quaternionic manifold SO(4,n)/SO(4)\times…

High Energy Physics - Theory · Physics 2015-06-25 Riccardo D'Auria , Sergio Ferrara , Silvia Vaulà

We present a uniform treatment of rigid supersymmetric field theories in a curved spacetime $\mathcal{M}$, focusing on four-dimensional theories with four supercharges. Our discussion is significantly simpler than earlier treatments,…

High Energy Physics - Theory · Physics 2021-10-11 Guido Festuccia , Nathan Seiberg

We follow to Witten proposal in the calculation of conformal anomaly from d+1-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov

We give a general analysis of AdS boundary conditions for spin-3/2 Rarita-Schwinger fields and investigate boundary conditions preserving supersymmetry for a graviton multiplet in AdS_4. Linear Rarita-Schwinger fields in AdS_d are shown to…

High Energy Physics - Theory · Physics 2009-07-09 Aaron J. Amsel , Geoffrey Compère

Using the simple setting of 3D N=1 supergravity, we show how the tensor calculus of supergravity can be extended to manifolds with boundary. We present an extension of the standard F-density formula which yields supersymmetric…

High Energy Physics - Theory · Physics 2008-11-26 Dmitry V. Belyaev , Peter van Nieuwenhuizen

Recently proposed supergravity theories in odd dimensions whose fields are connection one-forms for the minimal supersymmetric extensions of anti-de Sitter gravity are discussed. Two essential ingredients are required for this construction:…

High Energy Physics - Theory · Physics 2011-04-15 Ricardo Troncoso , Jorge Zanelli

We discuss the AdS/CFT correspondence for negative curvature Einstein manifolds whose conformal boundary is degenerate in the sense that it is of codimension greater than one. In such manifolds, hypersurfaces of constant radius do not blow…

High Energy Physics - Theory · Physics 2007-05-23 Marika Taylor-Robinson

The $\mathcal{N}=1$ AdS-Lorentz superalgebra is studied and its relationship to semigroup expansion developed. Using this mathematical tool, the invariant tensors and Casimir operators are found. In terms of these invariants, a…

High Energy Physics - Theory · Physics 2018-12-03 O. Fierro , F. Izaurieta , P. Salgado , O. Valdivia

We classify possible supersymmetry-preserving relevant, marginal, and irrelevant deformations of unitary superconformal theories in $d \geq 3$ dimensions. Our method only relies on symmetries and unitarity. Hence, the results are model…

High Energy Physics - Theory · Physics 2016-12-21 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator

In this paper we consider four dimensional (4D) linearized gravity (LG) with a planar boundary, where the most general boundary conditions are derived following Symanzik's approach. The boundary breaks diffeomorphism invariance and this…

High Energy Physics - Theory · Physics 2023-11-01 Erica Bertolini , Nicola Maggiore

An action for the higher-derivative corrections to minimal gauged supergravity in four dimensions has been recently proposed. We demonstrate that the supersymmetric solutions of this model are those of the two-derivative action, and…

High Energy Physics - Theory · Physics 2021-09-15 Pietro Benetti Genolini , Paul Richmond

We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with $\mathrm{SL}(5)\times\mathbb{R}^+$-structure. We show that the algebra…

High Energy Physics - Theory · Physics 2017-04-05 Pascal du Bosque , Falk Hassler , Dieter Lust , Emanuel Malek

In this paper we fill a necessary gap in order to realize the explicit comparison between the Kaluza Klein spectra of supergravity compactified on AdS_4 x X^7 and superconformal field theories living on the world volume of M2-branes. On the…

High Energy Physics - Theory · Physics 2009-10-31 D. Fabbri , P. Fre` , L. Gualtieri , P. Termonia

We study conserved charges of $\mathcal{N}=1$ supergravity formulated as a constrained BF theory based on the $\OSp(1|4)$ superalgebra. Using the covariant phase space formalism, we derive bulk and boundary contributions to the symplectic…

High Energy Physics - Theory · Physics 2026-04-27 Remigiusz Durka , Jerzy Kowalski-Glikman , Rene Payne

Abstract We present the construction of the first-order $D=4$, $\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale…

High Energy Physics - Theory · Physics 2019-11-19 Salih Kibaroğlu , Oktay Cebecioğlu

Using recent results on string on $AdS_{3}\times N^d$, where N is a d-dimensional compact manifold, we re-examine the derivation of the non trivial extension of the (1+2) dimensional-Poincar\'e algebra obtained by Rausch de Traubenberg and…

High Energy Physics - Theory · Physics 2009-01-07 I. Benkaddour , A. El. Rhalami , E. H. Saidi

In this paper we study eleven-dimensional supergravity in its most general form. This is done by implementing manifest supersymmetry (and Lorentz invariance) through the use of the geometric (torsion and curvature) superspace Bianchi…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall , Ulf Gran , Bengt E. W. Nilsson , Dimitrios Tsimpis

We analyse the couplings of a partially massless spin-2 field with a doublet of massless, real spin-3/2 fields. In the flat limit, this spectrum coincides with the spectrum of ${\cal N}=2$ pure supergravity around anti-de Sitter spacetime…

High Energy Physics - Theory · Physics 2025-01-13 Nicolas Boulanger , Guillaume Lhost , Sylvain Thomée

An action for 3+1-dimensional supergravity genuinely invariant under the Poincare supergroup is proposed. The construction of the action is carried out considering a bosonic lagrangian invariant under both local Lorentz rotations and local…

General Relativity and Quantum Cosmology · Physics 2009-02-11 P. Salgado , M. Cataldo , S. del Campo