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Related papers: Field theory in 4D N=2 conformally flat superspace

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We use the embedding tensor formalism to analyse maximally symmetric backgrounds of N=2 gauged supergravities which have the full N=2 supersymmetry. We state the condition for N=2 vacua and discuss some of their general properties. We show…

High Energy Physics - Theory · Physics 2012-11-20 Jan Louis , Paul Smyth , Hagen Triendl

We present a theory of N=2 chiral supergravity in (10+2)-dimensions. This formulation is similar to N=1 supergravity presented recently using null-vectors in 12D. In order to see the consistency of this theory, we perform a simple…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino

Four-dimensional N=2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras. In this paper, we explore the chiral algebras that arise in this manner in…

High Energy Physics - Theory · Physics 2022-08-22 Christopher Beem , Wolfger Peelaers , Leonardo Rastelli , Balt C. van Rees

We analyze the constraints which follow both on the geometry and on the gauge sector for a consistent supergravity reduction of a general matter-coupled N=2 supergravity theory in four dimensions. These constraints can be derived in an…

High Energy Physics - Theory · Physics 2009-11-07 L. Andrianopoli , R. D'Auria , S. Ferrara

In three dimensions, every known N=4 supermultiplet has an off-shell completion. However, there is no off-shell N=4 formulation for the known extended superconformal Chern-Simons (CS) theories with eight and more supercharges. To achieve a…

High Energy Physics - Theory · Physics 2015-11-11 Sergei M. Kuzenko , Igor B. Samsonov

In the $N=1$ superspace, AdS$_4$ supersymmetry is realized as the non-linear super coordinate transformations. The fermionic coordinates form a faithful non-linear representation of supersymmetry on their own. By introducing an auxiliary…

High Energy Physics - Theory · Physics 2025-03-25 Chen-Xu Han , Zhao-Long Wang , Yi Yan

We develop in detail the holographic framework for an $\mathcal{N}=2$ pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in…

High Energy Physics - Theory · Physics 2021-02-23 L. Andrianopoli , B. L. Cerchiai , R. Matrecano , O. Miskovic , R. Noris , R. Olea , L. Ravera , M. Trigiante

In this paper, we derive the action for $N=3$ conformal supergravity in four space-time dimensions. We construct a density formula for $N=3$ conformal supergravity based on the super form action principle. Finally, we embed the $N=3$ Weyl…

High Energy Physics - Theory · Physics 2022-11-15 Subramanya Hegde , Madhu Mishra , Bindusar Sahoo

We study the spectrum of certain two-particle operators in the supergravity regime of the D1-D5 system, focussing on the four-point correlators of tensor multiplets on $AdS_3\times S^3$ at tree level. In Mellin space, these are nicely…

High Energy Physics - Theory · Physics 2022-01-25 Francesco Aprile , Michele Santagata

In the conventional formulation of N=1 supersymmetry, a vector multiplet is supposed to be in the adjoint representation of a given gauge group. We present a new formulation with a vector multiplet in the non-adjoint representation of SO(N)…

High Energy Physics - Theory · Physics 2008-11-26 Hitoshi Nishino , Subhash Rajpoot

Adopting as working assumption that the conformal group O(4,2) of Minkowski space, being the largest symmetry group which respects its light cone structure, is the appropriate global symmetry underlying the description of relativistic…

High Energy Physics - Theory · Physics 2007-09-05 A. I. Karanikas , C. N. Ktorides

For all types of N=4 anti-de Sitter (AdS) supersymmetry in three dimensions, we construct manifestly supersymmetric actions for Abelian vector multiplets and explain how to extend the construction to the non-Abelian case. Manifestly N=4…

High Energy Physics - Theory · Physics 2015-10-08 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

The implications of N=1 superconformal symmetry for four dimensional quantum field theories are studied. Superconformal covariant expressions for two and three point functions of quasi-primary superfields of arbitrary spin are found and…

High Energy Physics - Theory · Physics 2009-02-23 Hugh Osborn

We explore the connection between anti-deSitter supergravity and gauge theory, in the context of bound states of many D1 and D5 branes. The near-horizon $AdS_3$ supergravity describes the identity sector of the conformal field theory…

High Energy Physics - Theory · Physics 2007-05-23 Emil J. Martinec

We formulate $R^2$ pure supergravity as a scale invariant theory built only in terms of superfields describing the geometry of curved superspace. The standard supergravity duals are obtained in both "old" and "new" minimal formulations of…

High Energy Physics - Theory · Physics 2015-06-05 Sergio Ferrara , Alex Kehagias , Massimo Porrati

We present new explicit realizations of the most general N=4, d=1 superconformal symmetry D(2,1;\alpha) in the models of N=4 superconformal mechanics based on the reducible multiplets (1,4,3)\oplus(0,4,4), (3,4,1)\oplus(0,4,4) and…

High Energy Physics - Theory · Physics 2015-10-21 S. Fedoruk , E. Ivanov

We construct the anti-de Sitter supergravity in three dimensions associated with the supergroup $SU(1,1|2)\times SU(1,1|2)$. The field content and the action are inferred using the fact that $AdS$ supergravity theories in three dimensions…

High Energy Physics - Theory · Physics 2009-10-31 Justin R. David

We study consistent truncations of M-theory to gauged N=2 supergravity in four dimensions, based on a large class of SU(3)-structures in seven dimensions. We show that the gauging involves isometries of the vector multiplet scalar manifold…

High Energy Physics - Theory · Physics 2012-12-05 Davide Cassani , Paul Koerber , Oscar Varela

We provide evidence for the existence of a new strongly-coupled four dimensional $\mathcal{N}=2$ superconformal field theory arising as a non-trivial IR fixed point on the Coulomb branch of the mass-deformed superconformal Lagrangian theory…

High Energy Physics - Theory · Physics 2021-10-04 Justin Kaidi , Mario Martone

We investigate the fully supersymmetric solutions in a class of N=3 and N=4 higher derivative Poincar\'e supergravity theories. These class of theories are obtained within the framework of conformal supergravity using the standard Weyl…

High Energy Physics - Theory · Physics 2026-04-10 Abhinava Bhattacharjee , Subramanya Hegde , Bindusar Sahoo