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As we re-examine the known holographic N=1 supersymmetric renormalization group flow in four dimensions, we describe the mass-deformed Bagger-Lambert theory or equivalently the mass-deformed U(2) x U(2) Chern-Simons gauge theory with level…

High Energy Physics - Theory · Physics 2011-03-02 Changhyun Ahn

We discuss the permutation group G of massive vacua of four-dimensional gauge theories with N=1 supersymmetry that arises upon tracing loops in the space of couplings. We concentrate on superconformal N=4 and N=2 theories with N=1…

High Energy Physics - Theory · Physics 2017-06-07 Antoine Bourget , Jan Troost

We present a formulation of gravity in terms of a theory based on complex SU(2) gauge fields with a general coordinate invariant action functional quadratic in the field strength. Self-duality or anti-self-duality of the field strength…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Romesh K. Kaul

We construct two parametrizations of the non compact exceptional Lie group G=E7(-25), based on a fibration which has the maximal compact subgroup K=(E6 x U(1))/Z_3 as a fiber. It is well known that G plays an important role in the N=2 d=4…

High Energy Physics - Theory · Physics 2015-04-17 Sergio L. Cacciatori , Bianca L. Cerchiai , Alessio Marrani

We show the existence of global gauge anomalies in six dimensions for gauge groups SU(2),SU(3) and G_2 coupled to matter, characterized by an element of Z_{12},Z_6 and Z_3 respectively. Consideration of this anomaly rules out some of the…

High Energy Physics - Theory · Physics 2008-02-03 Michael Bershadsky , Cumrun Vafa

We present two types of obstacles for constructing de Sitter space in supersymmetric theories that appear as effective theories of quantum gravity. The first obstacle concerns de Sitter critical points in extended supergravity with charged…

High Energy Physics - Theory · Physics 2022-06-06 Maxim Emelin

We consider 4D maximal $\mathrm{ISO}(7)$ gauged supergravity, which is known to arise from a consistent truncation of massive IIA supergravity on a six-sphere. Within its $\mathrm{SU}(3)$ invariant sector, the theory is known to possess…

High Energy Physics - Theory · Physics 2026-01-01 Nathan Bagshaw , Giuseppe Dibitetto

In previous work, we found ten-dimensional solutions to the supergravity equations of motion with a dS$_4$ factor and O8-planes. We generalize this analysis and obtain other solutions in the same spirit, with an O8$_+$ and an O6$_-$. We…

High Energy Physics - Theory · Physics 2019-11-13 Clay Cordova , G. Bruno De Luca , Alessandro Tomasiello

A comprehensive symmetry analysis of the N=1 supersymmetric sine-Gordon equation is performed. Two different forms of the supersymmetric system are considered. We begin by studying a system of partial differential equations corresponding to…

Mathematical Physics · Physics 2009-09-15 A. M. Grundland , A. J. Hariton , L. Snobl

We consider N=2 supergravity in four dimensions with small R^2 curvature corrections. We construct large charge extremal supersymmetric and non-supersymmetric black hole solutions in all space, and analyze their thermodynamic properties.

High Energy Physics - Theory · Physics 2010-01-15 Eyal Gruss , Yaron Oz

We study four-dimensional $N=4$ gauged supergravity with $SO(4)\times SO(4)\sim SO(3)\times SO(3)\times SO(3)\times SO(3)$ gauge group in the presence of symplectic deformations. There are in general four electric-magnetic phases…

High Energy Physics - Theory · Physics 2022-05-09 Parinya Karndumri

An extended search for anomaly free matter coupled $N=(1,0)$ supergravity in six dimension is carried out by two different methods which we refer to as the graphical and rank methods. In the graphical method the anomaly free models are…

High Energy Physics - Theory · Physics 2023-11-07 Katrin Becker , Alex Kehagias , Ergin Sezgin , David Tennyson , Avraam Violaris

We use the embedding tensor method to construct the most general maximal gauged/massive supergravity in d=9 dimensions and to determine its extended field content. Only the 8 independent deformation parameters (embedding tensor components,…

High Energy Physics - Theory · Physics 2015-05-28 JJ Fernandez-Melgarejo , T. Ortin , E. Torrente-Lujan

Motivated by the possibility that physics may be effectively five-dimensional over some range of distance scales, we study the possible gaugings of five-dimensional N=2 supergravity. Using a constructive approach, we derive the conditions…

High Energy Physics - Theory · Physics 2009-11-07 John Ellis , Murat Gunaydin , Marco Zagermann

In these lectures we discuss N-extended conformal supergravity and its spectrum in four dimensions. These theories can be considered as the massless limit of Einstein-Weyl supergravity and by taking into account their enhanced gauge…

High Energy Physics - Theory · Physics 2020-01-16 Sergio Ferrara , Alex Kehagias , Dieter Lust

We employ the nonperturbative functional Renormalization Group to study models with an O(N_1)+O(N_2) symmetry. Here, different fixed points exist in three dimensions, corresponding to bicritical and tetracritical behavior induced by the…

Statistical Mechanics · Physics 2013-10-29 Astrid Eichhorn , David Mesterházy , Michael M. Scherer

As open N=2 or 4 strings describe self-dual N=4 super Yang-Mills in 2+2 dimensions, the corresponding closed (heterotic) strings describe self-dual ungauged (gauged) N=8 supergravity. These theories are conveniently formulated in a chiral…

High Energy Physics - Theory · Physics 2010-11-01 W. Siegel

We provide the M-theory uplift of de Sitter vacua of SO(5,3) and SO(4,4) gaugings of maximal supergravity in 4 dimensions. We find new non-compact backgrounds that are squashed hyperboloids with non-trivial flux for the 3-form potential.…

High Energy Physics - Theory · Physics 2015-06-23 Walter H. Baron , Gianguido Dall'Agata

We classify the supersymmetric vacua of N=4, d=5 supergravity in terms of G-structures. We identify three classes of solutions: with R^3, SU(2) and generic SO(4) structure. Using the Killing spinor equations, we fully characterize the first…

High Energy Physics - Theory · Physics 2008-11-26 James T. Liu , Manavendra Mahato , Diana Vaman

We review the status of three-dimensional "general massive gravity" (GMG) in its linearization about an anti-de Sitter (adS) vacuum, focusing on critical points in parameter space that yield generalizations of "chiral gravity". We then show…

High Energy Physics - Theory · Physics 2011-09-28 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Ergin Sezgin , Paul K. Townsend
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