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The supersymmetry invariance of flat supergravity (i.e., supergravity in the absence of any internal scale in the Lagrangian) in four dimensions on a manifold with non-trivial boundary is explored. Using a geometric approach we find that…

High Energy Physics - Theory · Physics 2019-01-29 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez

We present a systematic classification of counterterms of four-dimensional supersymmetric field theories on curved space, obtained as the rigid limit of new minimal supergravity. These are supergravity invariants constructed using the field…

High Energy Physics - Theory · Physics 2015-06-23 Benjamin Assel , Davide Cassani , Dario Martelli

The superspace formalism for $\mathcal{N}=1$ supergravity in four dimensions is a powerful geometric setting to engineer off-shell supergravity-matter theories, including higher-derivative couplings. This review provides a unified…

High Energy Physics - Theory · Physics 2022-11-01 S. M. Kuzenko , E. S. N. Raptakis , G. Tartaglino-Mazzucchelli

We survey on-shell and off-shell higher derivative supergravities in dimensions $1\le D\le 11$. Various approaches to their construction, including the Noether procedure, (harmonic) superspace, superform method, superconformal tensor…

High Energy Physics - Theory · Physics 2024-08-06 Mehmet Ozkan , Yi Pang , Ergin Sezgin

We write in superspace the lagrangian containing the fourth power of the Weyl tensor in the "old minimal" d=4, N=2 supergravity, without local SO(2) symmetry. Using gauge completion, we analyze the lagrangian in components. We find out that…

High Energy Physics - Theory · Physics 2009-11-07 Filipe Moura

The superspace formulation for four-dimensional N = 2 matter-coupled supergravity recently developed in arXiv:0805.4683 makes use of a new type of conformal compensator with infinitely many off-shell degrees of freedom: the so-called…

High Energy Physics - Theory · Physics 2009-01-14 Sergei M. Kuzenko

We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is…

High Energy Physics - Theory · Physics 2017-12-13 Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli

We formulate a unimodular N=1, d=4 supergravity theory off shell. We see that the infinitesimal Grassmann parameters defining the unimodular supergravity transformations are constrained and show that the conmutator of two infinitesinal…

High Energy Physics - Theory · Physics 2020-02-19 Jesus Anero , Carmelo P. Martin , Raquel Santos-Garcia

Using the off-shell formulation for N-extended conformal supergravity in three dimensions, which has recently been presented in arXiv:1305.3132, we construct superspace actions for conformal supergravity theories with N<6. For each of the…

High Energy Physics - Theory · Physics 2013-10-16 Daniel Butter , Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

The maximal supergravity theory in three dimensions, which has local SO(16) and rigid $E_8$ symmetries, is discussed in a superspace setting starting from an off-shell superconformal structure. The on-shell theory is obtained by imposing…

High Energy Physics - Theory · Physics 2011-07-21 J. Greitz , P. S. Howe

Maximally supersymmetric theories do not allow off-shell superspace formulations with traditional superfields containing a finite set of auxiliary fields. It has become clear that off-shell supersymmetric action formulations of such models…

High Energy Physics - Theory · Physics 2015-06-16 Martin Cederwall

Four dimensional supergravities may be the right framework to describe particle physics at low energies. Its connection to the underlying string theory can be implemented through higher dimensional supergravities which bear special…

High Energy Physics - Theory · Physics 2014-04-23 G. A. Diamandis , B. C. Georgalas , P. Kouroumalou , A. B. Lahanas

We propose a unified superfield formulation of N=4 off-shell supermultiplets in one spacetime dimension using the standard N=4 superspace. The main idea of our approach is a "gluing" together of two linear supermultiplets along their…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , S. Krivonos , O. Lechtenfeld , A. Shcherbakov

We construct a new $N=4$ non-semisimple gauged supergravity in three dimensions with $E_{6(2)}/SU(6)\times SU(2)$ scalar manifold and $SO(4)\ltimes \mathbf{T}^6$ gauge group. Depending on the values of the gauge coupling constants, the…

High Energy Physics - Theory · Physics 2015-12-24 Parinya Karndumri

We investigate the possibility of a Nicolai map for minimal supergravity in four dimensions. Such a map would allow for the computation of quantum supergravity correlation functions in terms of flat-space correlators in an effective…

High Energy Physics - Theory · Physics 2026-02-23 Federico Arrighi , Saurish Khandelwal , Olaf Lechtenfeld

The off-shell version of the c-map is presented, based on a systematic off-shell reduction from four to three space-time dimensions for supergravity theories with eight supercharges. In the reduction, the R-symmetry group is enhanced to…

High Energy Physics - Theory · Physics 2016-03-23 Nabamita Banerjee , Bernard de Wit , Stefanos Katmadas

We study N=2 supergravity deformed by a genuine supersymmetric completion of the $\lambda R^4$ term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2…

High Energy Physics - Theory · Physics 2015-06-11 W. Chemissany , S. Ferrara , R. Kallosh , C. S. Shahbazi

We point out that off-shell four-dimensional supersymmetry implies strange hermiticity properties for the N=1 RNS superstring. However, these hermiticity properties become natural when the N=1 superstring is embedded into an N=2…

High Energy Physics - Theory · Physics 2009-10-30 Nathan Berkovits

In a spacetime of dimension n, the dual graviton is characterised by a Young diagram with two columns, the first of length n-3 and the second of length one. In this paper we perform the off-shell dualisation relating the dual graviton to…

High Energy Physics - Theory · Physics 2015-06-05 Nicolas Boulanger , Paul P. Cook , Dmitry Ponomarev

We introduce a manifestly little group covariant on-shell superspace for massive particles in four dimensions using the massive spinor helicity formalism. This enables us to construct massive on-shell superfields and fully utilize on-shell…

High Energy Physics - Theory · Physics 2020-01-08 Aidan Herderschee , Seth Koren , Timothy Trott