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The invariants in half-maximal supergravity theories in D=4,5 are discussed in detail up to dimension eight (e.g. R^4). In D=4, owing to the anomaly in the rigid SL(2,R) duality symmetry, the restrictions on divergences need careful…

High Energy Physics - Theory · Physics 2015-06-15 G. Bossard , P. S. Howe , K. S. Stelle

A necessary condition for partial breaking of N=2 global supersymmetry is the presence of nonlinear deformations of the field transformations which cannot be generated by background values of auxiliary fields. This work studies the simplest…

High Energy Physics - Theory · Physics 2020-05-26 Ignatios Antoniadis , Jean-Pierre Derendinger , Hongliang Jiang , Gabriele Tartaglino-Mazzucchelli

We present an action for minimal massive gravity (MMG) in three dimensions in terms of a dreibein and an independent spin connection. Furthermore, the construction provides an action principle for an infinite family of so-called third-way…

High Energy Physics - Theory · Physics 2024-11-11 Nihat Sadik Deger , Marc Geiller , Jan Rosseel , Henning Samtleben

We expand the generic model involving chiral matter, super Yang-Mills gauge fields, and supergravity to second order in the gravity and gauge prepotentials in a manifestly covariant and conformal way. Such a class of models includes…

High Energy Physics - Theory · Physics 2009-12-22 Daniel Butter

All N=4 conformal supergravities in four space-time dimensions are constructed. These are the only N=4 supergravity theories whose actions are invariant under off-shell supersymmetry. They are encoded in terms of a holomorphic function that…

High Energy Physics - Theory · Physics 2017-10-31 Daniel Butter , Franz Ciceri , Bernard de Wit , Bindusar Sahoo

We present the locally supersymmetric formulation of unimodular gravity theory in D (1\le D \le 11) dimensions, namely supergravity theory with the metric tensor whose determinant is constrained to be unity. In such a formulation, the usual…

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

We study the vacuum structures of four-dimensional $\mathcal{N} = 1$ old minimal supergravity with higher derivative corrections. We find that $\mathcal{N} = 1$ supergravity with Riemann curvature square corrections and higher derivative…

High Energy Physics - Theory · Physics 2022-12-22 Atsuki Inoue , Shin Sasaki

We consider an expression for the supercurrent in the superconformal formulation of N=1 supergravity. A chiral compensator provides the supersymmetric formulation of the Callan-Coleman-Jackiw (CCJ) improved stress energy tensor, when the…

High Energy Physics - Theory · Physics 2017-09-12 Sergio Ferrara , Marine Samsonyan

A supercurrent superfield whose components include a conserved energy-momentum tensor and supersymmetry current as well as a (generally broken) R-symmetry current is constructed for a generic effective N=1 supersymmetric gauge theory. The…

High Energy Physics - Theory · Physics 2015-06-26 T. E. Clark , S. T. Love

These lectures are intended as a broad introduction to Chern Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant action -in the sense of fiber bundles- in more than three…

High Energy Physics - Theory · Physics 2007-05-23 Jorge Zanelli

We describe the construction of $2+1$-dimensional toplogically massive adS gravity with ${\mathcal{N}}$-extended supersymmetry in superspace by means of introducing a compensating hypermultiplet for the super-Weyl invariance. For…

High Energy Physics - Theory · Physics 2016-09-28 Frederik Lauf , Ivo Sachs

We present a formulation of gravity in terms of a theory based on complex SU(2) gauge fields with a general coordinate invariant action functional quadratic in the field strength. Self-duality or anti-self-duality of the field strength…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Romesh K. Kaul

We construct a dilaton Weyl multiplet for $N = 3$ conformal supergravity in four dimensions. We couple an on-shell vector multiplet to the standard Weyl multiplet and use the field equations of the vector multiplet to replace some of the…

High Energy Physics - Theory · Physics 2025-06-05 Soumya Adhikari , Aravind Aikot , Madhu Mishra , Bindusar Sahoo

We analyze actions for 2D supergravities induced by chiral conformal supermatter. The latter may be thought as described at the classical level by superspace actions invariant under super-reparametrization, super-Weyl and super-Lorentz…

High Energy Physics - Theory · Physics 2009-10-22 Fiorenzo Bastianelli , Ulf Lindstrom

We study superconformal and supergravity models with constrained superfields. The underlying version of such models with all unconstrained superfields and linearly realized supersymmetry is presented here, in addition to the physical…

High Energy Physics - Theory · Physics 2016-08-29 Sergio Ferrara , Renata Kallosh , Antoine Van Proeyen , Timm Wrase

The invariants in D=4, N=4 supergravity are discussed up to the three-loop order (where one expects a general R^4 structure). Because there is an anomaly in the rigid SL(2,R) symmetry of this theory, the analysis of possible restrictions on…

High Energy Physics - Theory · Physics 2015-06-12 G. Bossard , P. S. Howe , K. S. Stelle

When four scalar fields with global Lorentz symmetry are coupled to gravity and take a vacuum expectation value breaking diffeomorphism invariance spontaneously, the graviton becomes massive. This model is supersymmetrized by considering…

High Energy Physics - Theory · Physics 2013-08-09 Ola Malaeb

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields,…

High Energy Physics - Theory · Physics 2020-07-01 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

We find the most general supersymmetric solutions of ungauged N=1,d=4 supergravity coupled to an arbitrary number of vector and chiral supermultiplets, which turn out to be essentially pp-waves and strings. We also introduce magnetic…

High Energy Physics - Theory · Physics 2010-02-03 Tomas Ortin

We formulate a manifestly supersymmetric gauge covariant regularization of supersymmetric chiral gauge theories. In our scheme, the effective action in the superfield background field method above one-loop is always supersymmetric and gauge…

High Energy Physics - Theory · Physics 2009-10-31 Takuya Hayashi , Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki