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We consider gravity in three dimensions with an arbitrary number of curvature corrections. We show that such corrections are always functions of only three independent curvature invariants. Demanding the existence of a holographic c-theorem…

High Energy Physics - Theory · Physics 2010-11-11 Miguel F. Paulos

We construct multiple embeddings of all solutions of $d=5$ minimal (un)gauged supergravity into massive Type IIA supergravity. The internal spaces and warpings of such embeddings are the same as those of the $\mathcal{N}=1$ supersymmetric…

High Energy Physics - Theory · Physics 2023-02-01 Christopher Couzens , Niall T. Macpherson , Achilleas Passias

We study four-derivative corrections to 5d $\mathcal{N}=2$ minimal gauged supergravity using tools from conformal supergravity. There are two supersymmetric invariants at the four-derivative order and we show explicitly how to write down…

High Energy Physics - Theory · Physics 2022-05-04 Nikolay Bobev , Kiril Hristov , Valentin Reys

We give a formulation of linearized minimal 5-dimensional supergravity in N = 1 superspace. Infinitesimal local 5D diffeomorphisms, local 5D Lorentz transformations, and local 5D supersymmetry are all realized as off-shell superfield…

High Energy Physics - Theory · Physics 2008-11-26 W. D. Linch , Markus A. Luty , J. Phillips

We construct the dilaton Weyl multiplet for $N=2$ conformal supergravity in four dimensions. Beginning from an on-shell vector multiplet coupled to the standard Weyl multiplet, the equations of motion can be used to eliminate the…

High Energy Physics - Theory · Physics 2018-04-18 Daniel Butter , Subramanya Hegde , Ivano Lodato , Bindusar Sahoo

We present an alternative N=2 supergravity multiplet coupled to n copies of vector multiplets and n' copies of hypermultiplets in five dimensions. Our supergravity multiplet contains a single antisymmetric tensor and a dilaton, which are…

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

We present an extended study of our previous work on an alternative five-dimensional N=2 supergravity theory that has a single antisymmetric tensor and a dilaton as a part of supergravity multiplet. The new fields are natural Neveu-Schwarz…

High Energy Physics - Theory · Physics 2009-11-07 Hitoshi Nishino , Subhash Rajpoot

We extend our previous study (arXiv:1203.5088) to the case of five-dimensional multi-charge black holes, thus showing that these configurations and their subtracted geometries also lie in a 3d duality orbit. In order to explore the 3d…

High Energy Physics - Theory · Physics 2014-02-26 Anurag Sahay , Amitabh Virmani

We construct generating technique for 5D minimal and $U(1)^3$ supergravities based on hidden symmetries arising in dimensional reduction to three dimensions. In the three-vector case the symmetry is SO(4,4), and the minimal case corresponds…

High Energy Physics - Theory · Physics 2009-12-16 Dmitry V. Gal'tsov , Nikolai G. Scherbluk

We perform a consistent reduction of 6d matter-coupled F(4) supergravity on a compact Riemann surface $\Sigma_\mathfrak{g}$ of genus $\mathfrak{g}$, at the level of the bosonic action. The result is an $\mathcal{N}=2$ gauged supergravity…

High Energy Physics - Theory · Physics 2021-11-05 Seyed Morteza Hosseini , Kiril Hristov

We study various aspects of higher-curvature theories of gravity built from contractions of the metric, the Riemann tensor and the covariant derivative, $\mathcal{L}(g^{ab},R_{abcd},\nabla_a)$. We characterise the linearized spectrum of…

High Energy Physics - Theory · Physics 2023-10-24 Sergio E. Aguilar-Gutierrez , Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Quim Llorens

In the recent paper arXiv:1606.02921, the two invariant actions for 6D $N=(1,0)$ conformal supergravity were constructed in superspace, corresponding to the supersymmetrization of $C^3$ and $C\Box C$. In this paper, we provide the…

High Energy Physics - Theory · Physics 2017-08-23 Daniel Butter , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

The configuration space of general relativity is superspace - the space of all Riemannian 3-metrics modulo diffeomorphisms. However, it has been argued that the configuration space for gravity should be conformal superspace - the space of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bryan Kelleher

The curvature scalar invariants of the Riemann tensor are important in General Relativity because they allow a manifestly coordinate invariant characterisation of certain geometrical properties of spacetimes such as, among others, curvature…

General Relativity and Quantum Cosmology · Physics 2022-07-13 G. V. Kraniotis

We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it…

High Energy Physics - Theory · Physics 2012-11-22 Laurent Baulieu , Marc Bellon , Valentin Reys

We develop geometric superspace settings to construct arbitrary higher derivative couplings (including R^n terms) in three-dimensional supergravity theories with N=1,2,3 by realising them as conformal supergravity coupled to certain…

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

We discuss local supercurrents as sources of the super-Einstein equations in the superconformal approach in the old and new minimal (auxiliary fields) formulation. Modifications of the Ward identity giving the covariant divergence of the…

High Energy Physics - Theory · Physics 2018-08-29 Sergio Ferrara , Marine Samsonyan , Magnus Tournoy , Antoine Van Proeyen

Recently, the identification of new higher-curvature interactions known as Einsteinian cubic gravity (ECG) and Generalized quasi-topological gravities (GQGs) has allowed for important advances in the study of black hole solutions and…

High Energy Physics - Theory · Physics 2019-12-17 Pablo A. Cano

The aim of this Thesis is twofold. On the one hand, we find the necessary and sufficient conditions for a maximally supersymmetric supergravity theory in 3D to be a solution of 11D supergravity (but the result is general and also holds for…

High Energy Physics - Theory · Physics 2025-12-19 Davide Rovere

We propose that the radion chiral supermultiplet of five dimensional compactified supergravity is obtained by reduction of the graviphoton gauge multiplet to N=1 superfields in the off shell 5D superconformal gravity formalism of Fujita,…

High Energy Physics - Theory · Physics 2008-11-26 Filipe Paccetti Correia , Michael G. Schmidt , Zurab Tavartkiladze