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We construct supersymmetric deformations of general, locally supersymmetric, nonlinear sigma models in three spacetime dimensions, by extending the pure supergravity theory with a Chern-Simons term and gauging a subgroup of the sigma model…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Ivan Herger , Henning Samtleben

$N=1$ supersymmetric gauge theories with global flavor symmetries contain a gauge invariant W-superalgebra which acts on its moduli space of gauge invariants. With adjoint matter, this superalgebra reduces to a graded Lie algebra. When the…

High Energy Physics - Theory · Physics 2009-10-30 P. Ramond

A consistent gauging of maximal supergravity requires that the T-tensor transforms according to a specific representation of the duality group. The analysis of viable gaugings is thus amenable to group-theoretical analysis, which we explain…

High Energy Physics - Theory · Physics 2010-04-05 Bernard de Wit , Henning Samtleben , Mario Trigiante

We construct rigid supersymmetric gauge theories on Riemannian five-manifolds. We follow a holographic approach, realizing the manifold as the conformal boundary of a six-dimensional bulk supergravity solution. This leads to a systematic…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Pietro Benetti Genolini , Martin Fluder , Paul Richmond , James Sparks

A chiral superfield strength in N=2 conformal supergravity at linearized level is obtained by acting two superspace derivatives on N=4 chiral superfield strength which can be described in terms of N=4 twistor superfields. By decomposing…

High Energy Physics - Theory · Physics 2015-06-26 Changhyun Ahn

We propose and test a novel conjectural relation satisfied by the superconformal index of maximally supersymmetric $U(N)$ gauge theory in four dimensions. Analogous relations appear to be also valid for the superconformal indices of a large…

High Energy Physics - Theory · Physics 2021-09-07 Davide Gaiotto , Ji Hoon Lee

We construct a gauge theory based in the supergroup $G=SU(2,2|2)$ that generalizes MacDowell-Mansouri supergravity. This is done introducing an extended notion of Hodge operator in the form of an outer automorphism of $su(2,2|2)$-valued…

High Energy Physics - Theory · Physics 2021-08-12 Pedro D. Alvarez , Lucas Delage , Mauricio Valenzuela , Jorge Zanelli

We study N=1,2,4 higher spin superalgebras in four dimensions and higher spin gauge theories based on them. We extend the existing minimal N=2,4 theories and find a minimal N=1 theory. Utilizing the basic structure of the minimal N=8…

High Energy Physics - Theory · Physics 2009-11-07 J. Engquist , E. Sezgin , P. Sundell

We study flows on the scalar manifold of N=8 gauged supergravity in five dimensions which are dual to certain mass deformations of N=4 super Yang--Mills theory. In particular, we consider a perturbation of the gauge theory by a mass term…

High Energy Physics - Theory · Physics 2009-10-31 A. Brandhuber , K. Sfetsos

In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge…

High Energy Physics - Theory · Physics 2015-05-18 John C. Baez , John Huerta

In this paper we obtain supersymmetric brane-like configurations in the vacuum of N=4 gauged $SU(2)\times SU(2)$ supergravity theory in four spacetime dimensions. Almost all of these vacuum solutions preserve either half or one quarter of…

High Energy Physics - Theory · Physics 2009-10-31 Harvendra Singh

A geometric formulation which describes extended supergravities in any dimension in presence of electric and magnetic sources is presented. In this framework the underlying duality symmetries of the theories are manifest. Particular…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , R. D'Auria , S. Ferrara

In this paper we investigate the supergravity equations of motion associated with non-critical ($d>1$) type II string theories that incorporate RR forms. Using a superpotential formalism we determine several classes of solutions. In…

High Energy Physics - Theory · Physics 2009-11-10 Stanislav Kuperstein , Jacob Sonnenschein

To the full order in fermions, we construct D=10 type II supersymmetric double field theory. We spell the precise N=2 supersymmetry transformation rules as for 32 supercharges. The constructed action unifies type IIA and IIB supergravities…

High Energy Physics - Theory · Physics 2013-05-27 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park , Yoonji Suh

Motivated by their application to holographic RG flows and hairy black holes in Einstein-scalar systems, we present a collection of superpotentials driving the dynamics of $\mathcal{N}=2$ and $\mathcal{N}=1$ four-dimensional supergravities.…

High Energy Physics - Theory · Physics 2016-06-15 Adolfo Guarino

For d=10 N=1 SUGRA coupled to d=10 N=1 SYM, anomaly cancellation places severe constraints on the allowed gauge groups. Besides the ones known to appear in string theory, only U(1)^496 and E_8 x U(1)^248 are allowed. There are no known…

High Energy Physics - Theory · Physics 2014-11-18 Bartomeu Fiol

We consider N = 2 superconformal field theory with following properties: a) Coulomb branch operators have fractional scaling dimensions, b) there are exact marginal deformations . The weakly coupled gauge theory descriptions are found by…

High Energy Physics - Theory · Physics 2016-02-12 Dan Xie , Shing-Tung Yau

We provide a unified description of the three covariant superspace approaches to ${\cal N}=2$ conformal supergravity in four dimensions: (i) conformal superspace; (ii) $\mathsf{U}(2)$ superspace; and (iii) $\mathsf{SU}(2)$ superspace. Each…

High Energy Physics - Theory · Physics 2023-05-16 S. M. Kuzenko , E. S. N. Raptakis , G. Tartaglino-Mazzucchelli

Non-abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher dimensional (2-dimensional in the present context) connection forms, and as such, it has been successfully applied to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , Eugeniu M. Popescu

We construct a four-dimensional (4D) gauge theory that propagates, unitarily, the five polarization modes of a massive spin-2 particle. These modes are described by a "dual" graviton gauge potential and the Lagrangian is 4th-order in…

High Energy Physics - Theory · Physics 2015-06-04 Eric A. Bergshoeff , J. J. Fernandez-Melgarejo , Jan Rosseel , Paul K. Townsend
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