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Related papers: Simple d=4 supergravity with a boundary

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We obtain a three-parameter family of massive N=1 supergravities in three dimensions from the 3-sphere reduction of an off-shell N=(1,0) six-dimensional Poincare supergravity that includes a curvature squared invariant. The…

High Energy Physics - Theory · Physics 2014-11-21 H. Lu , C. N. Pope , E. Sezgin

We elaborate on the presymplectic BV-AKSZ approach to supersymmetric systems. In particular, we construct such a formulation for the $N=1$, $D=4$ supergravity by taking as a target space the Chevalley-Eilenberg complex of the…

High Energy Physics - Theory · Physics 2026-01-09 Maxim Grigoriev , Alexander Mamekin

The lagrangian formalism for the supermembrane in any 11d supergravity background is constructed in the pure spinor framework. Our gauge-fixed action is manifestly BRST, supersymmetric, and 3d Lorentz invariant. The relation between the…

High Energy Physics - Theory · Physics 2008-11-26 Pietro Fre' , Pietro Antonio Grassi

We construct the supercurrent multiplet that contains the energy-momentum tensor of the (2,0) tensor multiplet. By coupling this multiplet of currents to the fields of conformal supergravity, we first construct the linearized superconformal…

High Energy Physics - Theory · Physics 2009-10-31 Eric Bergshoeff , Ergin Sezgin , Antoine Van Proeyen

We will use the covariant superform approach to develop a new density formula for $\mathcal{N}=2$ conformal supergravity which is based on a fermionic multiplet whose lowest component is a dimension-5/2 spinor. We will show that this…

High Energy Physics - Theory · Physics 2020-01-29 Subramanya Hegde , Bindusar Sahoo

We obtain semiclassical gravity solutions in the Poincar\'e fundamental domain of $(3+1)$-dimensional Anti-de Sitter spacetime, PAdS$_4$, with a (massive or massless) Klein-Gordon field (with possibly non-trivial curvature coupling) with…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Benito A. Juárez-Aubry , Milton C. Mamani-Leqque

The N-extended supersymmetric self-dual Poincar\'e supergravity equations provide a natural local description of supermanifolds possessing hyperk\"ahler structure. These equations admit an economical formulation in chiral superspace. A…

High Energy Physics - Theory · Physics 2016-09-06 Ch. Devchand , V. Ogievetsky

We construct the N=1 three-dimensional supergravity theory with cosmological, Einstein-Hilbert, Lorentz Chern-Simons, and general curvature squared terms. We determine the general supersymmetric configuration, and find a family of…

High Energy Physics - Theory · Physics 2010-01-06 Roel Andringa , Eric A. Bergshoeff , Mees de Roo , Olaf Hohm , Ergin Sezgin , Paul K. Townsend

Using superspace techniques we construct the general theory describing D=4, N=2 supergravity coupled to an arbitrary number of vector and scalar--tensor multiplets. The scalar manifold of the theory is the direct product of a special…

High Energy Physics - Theory · Physics 2008-11-26 Riccardo D'Auria , Gianguido Dall'Agata , Luca Sommovigo , Silvia Vaula'

From a consistent Kaluza-Klein truncation of 11-dimensional supergravity over AdS_4 x CP^3 x S^1/Z_k, with a general 4-form ansatz, we arrive at a set of equations and solutions for the included fields. In particular, we have a bulk…

High Energy Physics - Theory · Physics 2018-12-21 M. Naghdi

We study the quantization of the corner symmetry algebra of 3d gravity, that is the algebra of observables associated with 1d spatial boundaries. In the continuum field theory, at the classical level, this symmetry algebra is given by the…

High Energy Physics - Theory · Physics 2021-11-03 Laurent Freidel , Christophe Goeller , Etera R. Livine

In this work, we expand the hidden $AdS$-Lorentz superalgebra underlying $D=4$ supergravity, reaching a (hidden) Maxwell superalgebra. The latter can be viewed as an extension involving cosmological constant of the superalgebra underlying…

High Energy Physics - Theory · Physics 2018-01-30 D. M. Peñafiel , L. Ravera

We present a short review of the group-geometric approach to supergravity theories, from the point of view of recent developments. The central idea is the unification of usual diffeomorphisms, gauge symmetries and supersymmetries into…

High Energy Physics - Theory · Physics 2022-11-09 Leonardo Castellani

Among the usual constraints of (1,1) supergravity in d=2 the condition of vanishing bosonic torsion is dropped. Using the inverse supervierbein and the superconnection considerably simplifies the formidable computational problems. It allows…

High Energy Physics - Theory · Physics 2009-10-30 M. F. Ertl , M. O. Katanaev , W. Kummer

We define N=4, d=1 harmonic superspace HR^{1+2|4} with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2)xSU(2) of N=4, d=1 Poincar\'e supersymmetry. We reformulate, in this new setting, the models of…

High Energy Physics - Theory · Physics 2014-11-18 E. Ivanov , O. Lechtenfeld

A modification of the harmonic superfield formalism in $D=4, N=2$ supergravity using a subsidiary condition of covariance under the background supersymmetry with a central charge ($B$-covariance) is considered. Conservation of analyticity…

High Energy Physics - Theory · Physics 2014-11-18 B. M. Zupnik

We develop further previous work on de Sitter extremal surfaces and time entanglement structures in quantum mechanics. In the first part, we first discuss explicit quotient geometries. Then we construct smooth bulk geometries with replica…

High Energy Physics - Theory · Physics 2025-11-20 Kanhu Kishore Nanda , K. Narayan , Somnath Porey , Gopal Yadav

We revise the classical continuum formulation behind the Spin Foam approach to the quantization of gravity. Based on the recent applications of the current EPRL-FK model beyond triangulations, we identify the tension with the implementation…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Vadim Belov

We propose a novel strategy to derive explicit and uniform upper bounds on the particle spectrum of six-dimensional gravitational theories with minimal supersymmetry, focusing initially on the tensor sector. The strategy is motivated by…

High Energy Physics - Theory · Physics 2025-07-10 Caucher Birkar , Seung-Joo Lee

We propose a new off-shell formulation for N-extended conformal supergravity in three spacetime dimensions. Our construction is based on the gauging of the N-extended superconformal algebra in superspace. Covariant constraints are imposed…

High Energy Physics - Theory · Physics 2013-09-18 Daniel Butter , Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli
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