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Einstein-frame supergravity is accompanied by quantum correction terms because of super-Weyl transformation. The correction term consists of the field strength terms that respectively originate from gauge, gravitational, and K\"ahler…

High Energy Physics - Theory · Physics 2018-06-21 Akihisa D. -E. Tateishi

Superconformal geometries in spacetime dimensions $D=3,4,{5}$ and $6$ are discussed in terms of local supertwistor bundles over standard superspace. These natually admit superconformal connections as matrix-valued one-forms. In order to…

High Energy Physics - Theory · Physics 2021-05-05 P. S. Howe , U. Lindström

We propose a new gauge prepotential $\Upsilon_i$ describing the four-dimensional ${\mathcal N}=2$ superconformal gravitino multiplet. The former naturally arises via a superspace reduction of the ${\mathcal N}=3$ conformal supergravity…

High Energy Physics - Theory · Physics 2023-09-13 Daniel Hutchings , Sergei M. Kuzenko , Emmanouil S. N. Raptakis

This paper is concerned with the problem of coupling the N=8 superconformal Bagger-Lambert-Gustavsson (BLG) theory to N=8 conformal supergravity in three dimensions. We start by constructing the on-shell N=8 conformal supergravity in three…

High Energy Physics - Theory · Physics 2009-11-13 Ulf Gran , Bengt E. W. Nilsson

We explore the connection of anti-de-Sitter supergravity in six dimensions, based on the exceptional F(4) superalgebra, and its boundary superconformal singleton theory. The interpretation of these results in terms of a D4-D8 system and its…

High Energy Physics - Theory · Physics 2009-10-31 S. Ferrara , A. Kehagias , H. Partouche , A. Zaffaroni

The Weak Gravity Conjecture has recently been re-formulated in terms of a particle with non-negative self-binding energy. Because of the dual conformal field theory (CFT) formulation in the anti-de Sitter space the conformal dimension…

High Energy Physics - Theory · Physics 2022-01-19 Oleg Antipin , Jahmall Bersini , Francesco Sannino , Zhi-Wei Wang , Chen Zhang

We review some properties of the field equations of six-dimensional (1,0) supergravity coupled to tensor and vector multiplets, and in particular their relation to covariant and consistent anomalies and a peculiar Noether identity for the…

High Energy Physics - Theory · Physics 2007-05-23 Fabio Riccioni , Augusto Sagnotti

We analyse different N=4 supergravities coupled to six vector multiplets corresponding to low-energy descriptions of the bulk sector of T6/Z2 orientifolds with p-brane in IIB (p odd) and in IIA (p even) superstrings. When fluxes are turned…

High Energy Physics - Theory · Physics 2010-04-05 Carlo Angelantonj , Sergio Ferrara , M. Trigiante

We examine five-dimensional $\mathcal N=2$ gauged supergravity including terms up to four derivatives. These additional terms correspond to the supersymmetric completion of $R^2$, and were originally obtained in hep-th/0611329 using…

High Energy Physics - Theory · Physics 2015-05-13 Sera Cremonini , Kentaro Hanaki , James T. Liu , Phillip Szepietowski

In this paper we present a superspace formulation of $N = 1, D = 6$ supergravity with one tensor-multiplet and an arbitrary number of vector- and hypermultiplets, in which the bosonic abelian superforms of the theory, the dilaton, the…

High Energy Physics - Theory · Physics 2009-10-30 Gianguido Dall'Agata , Kurt Lechner

We derive the superconformal transformation properties of the supercurrent for N=1 supersymmetric QED in four dimensions within the superfield formalism. Superconformal Ward identities for Green functions involving insertions of the…

High Energy Physics - Theory · Physics 2009-10-31 J. Erdmenger , C. Rupp , K. Sibold

Based on the known non-linear transformation rules of the Weyl multiplet fields, the action of $N=4$ conformal supergravity is constructed up to terms quadratic in the fermion fields. The bosonic sector corrects a recent result in the…

High Energy Physics - Theory · Physics 2016-02-17 Franz Ciceri , Bindusar Sahoo

When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra "$i$"s in…

High Energy Physics - Theory · Physics 2015-05-20 Yu Nakayama

We compute the conformal anomaly a-coefficient for some non-unitary (higher derivative or non-gauge-invariant) 6d conformal fields and their supermultiplets. We use the method based on a connection between 6d determinants on S^6 and 7d…

High Energy Physics - Theory · Physics 2015-08-18 M. Beccaria , A. A. Tseytlin

Following the work of [1], we consider six- and seven-dimensional gauged supergravity coupled to a vector multiplet on an ansatz of $AdS_{4,5}\times{M}_2$, respectively, where $M_2$ is a two-dimensional surface with a Killing vector. We…

High Energy Physics - Theory · Physics 2024-04-03 Minwoo Suh

We construct new N=6 gauged supergravities in four and five dimensions using generalized dimensional reduction. Supersymmetry is spontaneously broken to N=4,2,0 with vanishing cosmological constant. We discuss the gaugings of the broken…

High Energy Physics - Theory · Physics 2014-11-18 Giovanni Villadoro

In this note we describe the most general coupling of {\it abelian} vector and tensor multiplets to six-dimensional $(1,0)$ supergravity. As was recently pointed out, it is of interest to consider more general Chern-Simons couplings to…

High Energy Physics - Theory · Physics 2009-10-31 Fabio Riccioni

We construct manifestly superconformal field theories in six dimensions which contain a non-Abelian tensor multiplet. In particular, we show how principal 3-bundles over a suitable twistor space encode solutions to these self-dual tensor…

High Energy Physics - Theory · Physics 2014-07-10 Christian Saemann , Martin Wolf

Six-dimensional (1,0) supersymmetric gauged Einstein-Maxwell supergravity is extended by the inclusion of a supersymmetric Riemann tensor squared invariant. Both the original model as well as the Riemann tensor squared invariant are…

High Energy Physics - Theory · Physics 2012-07-04 Eric Bergshoeff , Frederik Coomans , Ergin Sezgin , Antoine Van Proeyen

We study the space of supersymmetric AdS$_5$ solutions of type IIB supergravity corresponding to the conformal manifold of the dual $\mathcal{N}=1$ conformal field theory. We show that the background geometry naturally encodes a generalised…

High Energy Physics - Theory · Physics 2022-05-25 Anthony Ashmore , Michela Petrini , Edward Tasker , Daniel Waldram