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Unimodularity can be implemented in different ways. In this paper we consider only the formulation of Unimodular Gravity in which the unimodular metric is obtained out of an unrestricted one as $\g_{\m\n}=|g|^{-{1\over n}} g_{\m\n}$. This…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Enrique Alvarez , Jesus Anero , Irene Sanchez-Ruiz

We formulate scalar field theories coupled non-conformally to gravity in a manifestly frame-independent fashion. Physical quantities such as the $S$ matrix should be invariant under field redefinitions, and hence can be represented by the…

High Energy Physics - Phenomenology · Physics 2024-05-09 Minxi He , Kohei Kamada , Kyohei Mukaida

Weyl's conformal theory of gravity is an extension of Einstein's theory of general relativity which associates metrics with 1-forms . In the case of locally integrable (closed non-exact) 1-forms the spacetime manifolds are no more simply…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Michel Duneau

We construct 5D, N = 1 supergravity in a 4D, N = 1 superspace with an extra bosonic coordinate. This represents four of the supersymmetries and the associated Poincar\'e symmetries manifestly. The remaining four supersymmetries and the rest…

High Energy Physics - Theory · Physics 2020-04-22 Katrin Becker , Melanie Becker , Daniel Butter , William D. Linch , Stephen Randall

Eleven-dimensional supergravity can be formulated in superspaces locally of the form $\mathbf X\times Y$ where $\mathbf X$ is 4D $N=1$ conformal superspace and $Y$ is an arbitrary 7-manifold admitting a $G_2$-structure. The…

High Energy Physics - Theory · Physics 2018-07-04 Katrin Becker , Melanie Becker , Daniel Butter , William D. Linch

We present expressions for the supercurrents generated by a generic $4D,~\mathcal{N}=1$ theory of complex linear superfield $\Sigma$. We verify that these expressions satisfy the appropriate superspace conservation equations. Furthermore,…

High Energy Physics - Theory · Physics 2017-03-08 P. Kočí , K. Koutrolikos , R. von Unge

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

Projective superspace provides a natural framework for the construction of actions coupling hypermultiplets to conformal supergravity. We review how the off-shell actions are formulated in superspace and then discuss how to eliminate the…

High Energy Physics - Theory · Physics 2015-02-10 Daniel Butter

Abstract We present the construction of the first-order $D=4$, $\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale…

High Energy Physics - Theory · Physics 2019-11-19 Salih Kibaroğlu , Oktay Cebecioğlu

We perform a manifestly covariant quantization of a Weyl invariant, i.e., a locally scale invariant, scalar-tensor gravity in the extended de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance and a new…

High Energy Physics - Theory · Physics 2022-06-29 Ichiro Oda

The relation between super-Virasoro anomaly and super-Weyl anomaly in $N=1$ NSR superstring coupled with 2D supergravity is investigated from canonical theoretical view point. The WZW action canceling the super-Virasoro anomaly is…

High Energy Physics - Theory · Physics 2009-10-30 Takanori Fujiwara , Hiroshi Igarashi , Tadao Suzuki

We describe generalizations of the manifestly E_{6(6)} covariant formulation of five-dimensional gauged maximal supergravity with regard to the structure of the vector and tensor fields. We indicate how the group-theoretical structures that…

High Energy Physics - Theory · Physics 2015-06-26 Bernard de Wit , Henning Samtleben

We characterize all the supersymmetric configurations and solutions of minimal N=(1,0), d=6 supergravity coupled in the most general gauge-invariant way to an arbitrary number of tensor and vector multiplets and hypermultiplets.

High Energy Physics - Theory · Physics 2019-06-06 Pablo A. Cano , Tomas Ortin

We consider a class of cosmological solutions of d=4, N=2 supergravity theories coupled to vector multiplets. The solutions result from performing a compactification to three dimensions, where the theory reduces to a symmetric space sigma…

High Energy Physics - Theory · Physics 2008-05-29 Pietro Fré , Jan Rosseel

We develop the covariant phase space formulation of Weyl-transverse gravity (WTG) in the presence of general timelike and spacelike boundaries. WTG is classically equivalent to General Relativity (GR) but possesses a reduced gauge symmetry…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Gloria Odak , Salvatore Ribisi

We consider an abelian N=4 super Yang-Mills theory coupled to background N=4 conformal supergravity fields. At the classical level, this coupling is invariant under global SU(1,1) transformation of the complex ("dilaton-axion") supergravity…

High Energy Physics - Theory · Physics 2017-02-27 I. L. Buchbinder , N. G. Pletnev , A. A. Tseytlin

We embed a new three-form vector multiplet in ${\cal N}=1$ supergravity and we show that it can be used to generate dynamically the Hilbert--Einstein term. We then recast the theory into the standard Freedman model and we argue that a pure…

High Energy Physics - Theory · Physics 2020-06-24 Niccolò Cribiori , Fotis Farakos , George Tringas

The superspace formulation of eleven-dimensional supergravity with a seven-form field strength is given.

High Energy Physics - Theory · Physics 2008-02-03 P. S. Howe

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

An N=1/2 supergravity in four Euclidean spacetime dimensions, coupled to both vector- and scalar-multiplet matter, is constructed for the first time. We begin with the standard (1,1) conformally extended supergravity in four Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Tomoya Hatanaka , Sergei V. Ketov