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Related papers: Superconformal symmetry and maximal supergravity i…

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We develop a framework for constructing superconformal blocks for correlators of general supermultiplets in theories with $\mathrm{SU}(m,m|2n)$ symmetry, such as four-dimensional $\mathcal{N}=2$ and $\mathcal{N} = 4$ conformal theories. We…

High Energy Physics - Theory · Physics 2026-05-12 Tobias Hansen , Paul Heslop , Hector Puerta-Ramisa

All N=4 conformal supergravities in four space-time dimensions are constructed. These are the only N=4 supergravity theories whose actions are invariant under off-shell supersymmetry. They are encoded in terms of a holomorphic function that…

High Energy Physics - Theory · Physics 2017-10-31 Daniel Butter , Franz Ciceri , Bernard de Wit , Bindusar Sahoo

We construct unitary representations of (1,0) and (2,0) superconformal algebras in six dimensions by using superfields defined on harmonic superspaces with coset manifolds USp(2n)/[U(1)]^n, n=1,2. In the spirit of the AdS_7/CFT_6…

High Energy Physics - Theory · Physics 2007-05-23 Sergio Ferrara , Emery Sokatchev

We present a new gauging of maximal supergravity in five spacetime dimensions with gauge group containing ISO(5), involving the local scaling symmetry of the metric, and admitting a supersymmetric anti-de Sitter vacuum. We show this maximal…

High Energy Physics - Theory · Physics 2025-05-14 Ritabrata Bhattacharya , Abhay Katyal , Oscar Varela

We review the underlying algebraic structures of supergravity theories with symmetric scalar manifolds in five and four dimensions, orbits of their extremal black hole solutions and the spectrum generating extensions of their U-duality…

High Energy Physics - Theory · Physics 2018-07-25 Murat Gunaydin

Maldacena's duality between conformal field theories and supergravity is applied to some conformal invariant models with 8 supercharges appearing in the F-theory moduli space on a locus of constant coupling. This includes Sp(2N) gauge…

High Energy Physics - Theory · Physics 2009-10-31 A. Fayyazuddin , M. Spalinski

In light of the AdS/CFT correspondence, it is natural to try to define a conformal field theory in a large N, strong coupling limit via a supergravity compactification on the product of an Einstein manifold and anti-de Sitter space. We…

High Energy Physics - Theory · Physics 2016-08-25 Steven S. Gubser

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Berkovits , Edward Witten

We study various N=2 multiplets in four dimensions by looking at the supersymmetric truncation of four dimensional N=3 multiplets. Under supersymmetric truncation, the off-shell N=3 Weyl multiplet reduces to the off-shell N=2 Weyl multiplet…

High Energy Physics - Theory · Physics 2025-06-03 Aravind Aikot , Bindusar Sahoo

In this thesis I review various aspects of the AdS_4/CFT_3 correspondence, where AdS_4 supergravity arises from compactification of M-theory on a coset space G/H and preserves N<8 supersymmetries. One focal point of my review is that the…

High Energy Physics - Theory · Physics 2007-05-23 Leonardo Gualtieri

Construction of a five dimensional conformal supergravity (D=5 CSG) is attempted by applying the AdS/CFT correspondence to the F(4) AdS supergravity in six dimensions. As a first step, local transformation laws of D=5 CSG have been…

High Energy Physics - Theory · Physics 2009-10-31 Madoka Nishimura

Recently, a non-relativistic off-shell formulation of three dimensional Newton-Cartan supergravity was proposed as the $c \rightarrow \infty$ limit of three dimensional $\mathcal{N}=2$ supergravity in arXiv:1505.02095. In the present paper…

High Energy Physics - Theory · Physics 2016-06-29 Gino Knodel , Pedro Lisbao , James T. Liu

Within the context of top-down holography, we study a one-parameter family of regular background solutions of maximal gauged supergravity in seven dimensions, dimensionally reduced on a 2-torus. The dual, four-dimensional confining field…

High Energy Physics - Theory · Physics 2022-03-30 Daniel Elander , Maurizio Piai

We construct chiral N=(1,0) self-dual supergravity in Euclidean eight-dimensions with reduced holonomy Spin(7), including all the higher-order interactions in a closed form. We first establish the non-chiral N=(1,1) superspace supergravity…

High Energy Physics - Theory · Physics 2014-11-18 Hitoshi Nishino , Subhash Rajpoot

We construct the first eleven-dimensional supergravity solutions, which are regular, have no smearing and possess only SO(2,4) x SO(3) x U(1)_R isometry. They are dual to four-dimensional field theories with N = 2 superconformal symmetry.…

High Energy Physics - Theory · Physics 2013-11-06 P. Marios Petropoulos , Konstadinos Sfetsos , Konstadinos Siampos

We construct consistent interacting gauge theories for M conformal massless spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal…

High Energy Physics - Theory · Physics 2009-11-07 Nicolas Boulanger , Marc Henneaux , Peter van Nieuwenhuizen

New gaugings of four dimensional N=8 supergravity are constructed, including one which has a Minkowski space vacuum that preserves N=2 supersymmetry and in which the gauge group is broken to $SU(3)xU(1)^2$. Previous gaugings used the form…

High Energy Physics - Theory · Physics 2014-11-18 C. M. Hull

Supergravities in four and higher dimensions are reviewed. We discuss the action and its local symmetries of N=1 supergravity in four dimensions, possible types of spinors in various dimensions, field contents of supergravity multiplets,…

High Energy Physics - Theory · Physics 2007-05-23 Y. Tanii

We discuss (extended) super Schrodinger algebras obtained as subalgebras of the superconformal algebra psu(2,2|4). The Schrodinger algebra with two spatial dimensions can be embedded into so(4,2). In the superconformal case the embedded…

High Energy Physics - Theory · Physics 2010-11-30 Makoto Sakaguchi , Kentaroh Yoshida

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