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We solve the Killing spinor equations of ${\cal N}=1$ supergravity, with four supercharges, coupled to any number of vector and scalar multiplets in all cases. We find that backgrounds with N=1 supersymmetry admit a null, integrable,…

High Energy Physics - Theory · Physics 2009-10-09 U. Gran , J. Gutowski , G. Papadopoulos

We discuss various approaches to the problem of determining which supersymmetric invariants are permitted as counterterms in maximally supersymmetric super Yang--Mills and supergravity theories in various dimensions. We review the…

High Energy Physics - Theory · Physics 2009-05-07 G. Bossard , P. S. Howe , K. S. Stelle

We analyze the gauging of Abelian isometries on the hypermultiplet scalar manifolds of N = 2 supergravity in four dimensions. This involves a study of symmetric special quaternionic-K\"ahler manifolds, building on the work of de Wit and Van…

High Energy Physics - Theory · Physics 2015-06-18 Harold Erbin , Nick Halmagyi

We analyze the vacuum structure of $\mathcal{N}=3,D=4$ supergravity coupled to 9 vector multiplets with gauge group ${\rm SO}(3)\times {\rm SU}(3)$. Aside from the central $\mathcal{N}=3$ AdS$_4$ vacuum at the origin, on which the…

High Energy Physics - Theory · Physics 2022-10-05 Pietro Fré , Alfredo Giambrone , Daniele Ruggeri , Mario Trigiante , Petr Vaško

We construct new families of supersymmetric AdS$_2\times\mathbb{M}_4$ solutions of $D=6$ gauged supergravity and AdS$_3\times\mathbb{M}_4$ solutions of $D=7$ gauged supergravity, where $\mathbb{M}_4$ are four-dimensional toric orbifolds…

High Energy Physics - Theory · Physics 2025-03-25 Federico Faedo , Alessio Fontanarossa , Dario Martelli

A class of $AdS_2\times \Sigma_2$, with $\Sigma_2$ being a two-sphere or a hyperbolic space, solutions within four-dimensional $N=4$ gauged supergravity coupled to three-vector multiplets with dyonic gauging is identified. The gauged…

High Energy Physics - Theory · Physics 2017-10-24 Parinya Karndumri

A class of supersymmetric (BPS saturated), static, spherically symmetric solutions of four-dimensional effective N=4 supersymmetric superstring vacua, which become massless at special points of moduli space, is studied in terms of the…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetič , Donam Youm

We study N=2 supergravity deformed by a genuine supersymmetric completion of the $\lambda R^4$ term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2…

High Energy Physics - Theory · Physics 2015-06-11 W. Chemissany , S. Ferrara , R. Kallosh , C. S. Shahbazi

We study the relations between all the vacua of Lorentzian and Euclidean d=4,5,6 SUGRAs with 8 supercharges, finding a new limiting procedure that takes us from the over-rotating near-horizon BMPV black hole to the Godel spacetime. The…

High Energy Physics - Theory · Physics 2010-04-05 Patrick Meessen , Tomas Ortin

Two-dimensional string vacua with Massive Spectrum boson-fermion Degeneracy Symmetry (MSDS) are explicitly constructed in Type II and Heterotic superstring theories. The study of their moduli space indicates the existence of large marginal…

High Energy Physics - Theory · Physics 2011-04-07 Ioannis Florakis , Costas Kounnas , Nicolaos Toumbas

Realization of the conformal higher spin symmetry on the 4d massless field supermultiplets is given. The self-conjugated supermultiplets, including the linearized ${\cal N}=4$ SYM theory, are considered in some detail. Duality between…

High Energy Physics - Theory · Physics 2011-07-18 M. A. Vasiliev

We construct the gravity duals of large N supersymmetric gauge theories defined on squashed five-spheres with SU(3) x U(1) symmetry. These five-sphere backgrounds are continuously connected to the round sphere, and we find a one-parameter…

High Energy Physics - Theory · Physics 2015-06-19 Luis F. Alday , Martin Fluder , Carolina M. Gregory , Paul Richmond , James Sparks

We consider hidden symmetries arising from U-duality in the dimensional reduction of non-maximal higher-derivative supergravities to three dimensions. In particular, we consider the $G_{2(2)}$ symmetry of minimal five-dimensional…

High Energy Physics - Theory · Physics 2026-04-07 Yi Pang , Robert J. Saskowski

In this paper we explore the relation between conformal superalgebras with 64 supercharges and maximal supergravity theories in three, four and six dimensions using twistorial oscillator techniques. The massless fields of N=8 supergravity…

High Energy Physics - Theory · Physics 2015-05-30 Marco Chiodaroli , Murat Gunaydin , Radu Roiban

We analyse geometric type IIA flux compactifications leading to N=4 gauged supergravities in four dimensions. The complete landscape of isotropic vacua is presented, which turns out to belong to a unique theory. The solutions admit an…

High Energy Physics - Theory · Physics 2012-09-05 Giuseppe Dibitetto , Adolfo Guarino , Diederik Roest

We present new analytic rotating AdS$_4$ black holes, found as solutions of 4d gauged $\mathcal{N}=2$ supergravity coupled to abelian vector multiplets with a symmetric scalar manifold. These configurations preserve two real supercharges…

High Energy Physics - Theory · Physics 2019-10-09 Kiril Hristov , Stefanos Katmadas , Chiara Toldo

Using the $SO ({\cal N})$ superspace formulation for $\cal N$-extended conformal supergravity in three dimensions, we derive all maximally supersymmetric backgrounds in the ${\cal N} =4$ case. The specific feature of this choice is that the…

High Energy Physics - Theory · Physics 2025-07-29 Sergei M. Kuzenko , Emmanouil S. N. Raptakis , Igor B. Samsonov , Gabriele Tartaglino-Mazzucchelli

We analyze the moduli spaces near N=4 supersymmetric AdS4 vacua of string theory by combining and comparing various approaches: (a) the known exact solutions of Type IIB string theory with localized 5-brane sourcees, (b) the holographically…

High Energy Physics - Theory · Physics 2018-10-02 Constantin Bachas , Massimo Bianchi , Amihay Hanany

We present a manifestly supersymmetric off-shell formulation of a wide class of $(4,4)$ $2D$ sigma models with torsion and both commuting and non-commuting left and right complex structures in the harmonic superspace with a double set of…

High Energy Physics - Theory · Physics 2007-05-23 Evgenyi A. Ivanov

In the framework of usual superfield approach, we derive the exact local, covariant, continuous and off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the U(1) gauge field (A_\mu) and the…

High Energy Physics - Theory · Physics 2007-05-23 R. P. Malik