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We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric…

High Energy Physics - Theory · Physics 2015-06-05 David S. Berman , Edvard T. Musaev , Daniel C. Thompson

Candidate counterterms break E7 type U-duality symmetry of $N \geq 5$ supergravity theories in four dimensions \cite{Kallosh:2011dp}. A proposal was made in \cite{Bossard:2011ij} to restore it, starting with a double set of vector fields…

High Energy Physics - Theory · Physics 2019-10-02 Murat Gunaydin , Renata Kallosh

Models of cosmological inflation resembling the Starobinsky R + R^2 model emerge naturally among the effective potentials derived from no-scale SU(N,1)/SU(N) x U(1) supergravity when N > 1. We display several examples in the SU(2,1)/SU(2) x…

High Energy Physics - Theory · Physics 2015-06-16 John Ellis , Dimitri V. Nanopoulos , Keith A. Olive

We construct an $N=1$ supergravity action whose bosonic part contains an arbitrary function of the scalar curvature, the so-called $F(R)$ gravity. As in $R+R^2$ supergravity, it can be described in terms of two chiral superfields of…

High Energy Physics - Theory · Physics 2026-05-08 Ignatios Antoniadis , Chrysoula Markou , Dimitri V. Nanopoulos

We discuss an ${\cal R}+{\cal R}^n$ class of modified ${\cal N}=1$, D=4 supergravity models where the deformation is a monomial ${\cal R}^n\big|_F$ in the chiral scalar curvature multiplet ${\cal R}$ of the "old minimal" auxiliary field…

High Energy Physics - Theory · Physics 2015-06-17 Sergio Ferrara , Alex Kehagias , Massimo Porrati

We construct Supergravity models where the goldstino multiplet has a gravitational origin, being dual to the chiral curvature superfield. Supersymmetry is nonlinearly realized due to a nilpotent constraint, while the goldstino arises from…

High Energy Physics - Theory · Physics 2015-09-15 E. Dudas , S. Ferrara , A. Kehagias , A. Sagnotti

Using deformation theory based on BRST cohomology, a supergravity model is constructed which interpolates through a continuous deformation parameter between new minimal supergravity with an extra U(1) gauge multiplet and standard…

High Energy Physics - Theory · Physics 2007-05-23 Friedemann Brandt

We propose an exact, analytic deformation of the Starobinsky model governed by the strictly positive derivative of its Lagrangian, $f'(R) = \alpha R + \sqrt{\alpha^2 R^2 + 1}$, with $\alpha > 0$. This geometric hyperbolic square-root ansatz…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Andrei Galiautdinov

Supergravity backgrounds dual to a class of exactly marginal deformations of N supersymmetric Yang-Mills can be constructed through an SL(2,R) sequence of T-dualities and coordinate shifts. We apply this transformation to multicenter…

High Energy Physics - Theory · Physics 2009-11-11 Rafael Hernandez , Konstadinos Sfetsos , Dimitrios Zoakos

We revisit the U(1) duality-invariant nonlinear models for N=1 and N=2 vector multiplets coupled to off-shell supergravities. For such theories we develop new formulations which make use of auxiliary chiral superfields (spinor in the N=1…

High Energy Physics - Theory · Physics 2015-06-12 Sergei M. Kuzenko

We present a formulation of $N=1,D=10$ Supergravity--Super--Maxwell theory in superspace in which the graviphoton can be described by a 2--form $B_2$ or a 6--form $B_6$, the photon by a 1--form $A_1$ or a 7--form $A_7$ and the dilaton by a…

High Energy Physics - Theory · Physics 2009-10-28 Kurt Lechner , Mario Tonin

By generalizing and extending some of the earlier results derived by Manin and Merkulov, a twistor description is given of four-dimensional N-extended (gauged) self-dual supergravity with and without cosmological constant. Starting from the…

High Energy Physics - Theory · Physics 2008-11-26 Martin Wolf

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

It has been conjectured that there exists an E11-invariant formulation of eleven-dimensional supergravity in which the propagating fields of the theory are realised through an infinite tower of higher duals. In this work, we prove this…

High Energy Physics - Theory · Physics 2026-02-27 Guillaume Bossard , Nicolas Boulanger , Josh O'Connor

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 show that $R^2$ gravity coupled conformally to scalar fields is equivalent to the real bosonic sector of SU(N,1)/SU(N)$\times$U(1) no-scale supergravity, where the conformal factor can be identified with the K\"ahler potential, and we…

High Energy Physics - Theory · Physics 2018-03-07 John Ellis , Dimitri V. Nanopoulos , Keith A. Olive

A new class of non-compact Kahler backgrounds accompanied by a non-constant dilaton field is constructed as a supergravity solution. It is interpreted as a complex line bundle over a base manifold comprising of a combination of arbitrary…

High Energy Physics - Theory · Physics 2009-11-10 Noriko Nakayama , Katsuyuki Sugiyama

General forms of the K\"ahler and superpotenials that lead to consistent low energy broken Supersymmetry originating from $N=1$ Supergravity have been classified and used for model building since more than three decades. We point out the…

High Energy Physics - Theory · Physics 2018-11-27 Gilbert Moultaka , Michel Rausch de Traubenberg , Damien Tant

We construct two classes of higher-derivative supergravity theories generalizing Einstein supergravity. We explore their dynamical content as well as their vacuum structure. The first class is found to be equivalent to Einstein supergravity…

High Energy Physics - Theory · Physics 2009-10-28 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

No-scale supergravity is the appropriate general framework for low-energy effective field theories derived from string theory. The simplest no-scale K\"ahler potential with a single chiral field corresponds to a compactification to flat…

High Energy Physics - Theory · Physics 2018-12-05 John Ellis , Balakrishnan Nagaraj , Dimitri V. Nanopoulos , Keith A. Olive