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The N=1 self-dual supergravity has SL(2.C) symmetry. This symmetry results in SU(2) charges as the angular-momentum. As in the non-supersymmetric self-dual gravity, the currents are also of their potentials and are therefore identically…

High Energy Physics - Theory · Physics 2007-05-23 Sze-Shiang Feng , Zi-Xiang Wang , Xi-Jun Qiu

We present a candidate of anomaly and Wess Zumino action of the two dimensional supergravity coupling with matters in a super-Weyl invariant regularization. It is a generalization of the Weyl and the area preserving \Diff invariant…

High Energy Physics - Theory · Physics 2009-10-30 K. Kamimura , R. Kuriki

Here we show that in arbitrary dimensions $D\ge 3$ there are two families of second order Lagrangians describing massive "spin-2" particles via a nonsymmetric rank-2 tensor. They differ from the usual Fierz-Pauli theory in general. At zero…

High Energy Physics - Theory · Physics 2015-06-22 D. Dalmazi , A. L. R. dos Santos , E. L. Mendonça

We reduce the dual version of $D=10$, $N=1$ supergravity coupled to $n$ vector fields to four dimensions, and derive the $SL(2,R)\times O(6,6+n)$ transformations which leave the equations of motion invariant. For $n=0$ $SL(2,R)$ is also a…

High Energy Physics - Theory · Physics 2016-09-06 H. J. Boonstra , M. de Roo

We consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Eugen Radu

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 show that a critical condition exists in four dimensional scale invariant gravity given by the pure quadratic action $\beta \,C_{\mu\nu\sigma\rho} C^{\mu\nu\sigma \rho} + \alpha \,R^2$ where $C^{\mu}_{\,\,\nu \sigma \rho}$ is the Weyl…

High Energy Physics - Theory · Physics 2020-01-08 Ariel Edery , Yu Nakayama

In this Letter we consider the problem of partial masslessness and unitarity in (A)dS using gauge invariant description of massive high spin particles. We show that for S = 2 and S = 3 cases such formalism allows one correctly reproduce all…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

Following the Witten-Nester formalism, we present a useful prescription using Weyl spinors towards the positivity of mass. As a generalization of arXiv:1310.1663, we show that some "positivity conditions" must be imposed upon the gauge…

High Energy Physics - Theory · Physics 2015-06-22 Masato Nozawa , Tetsuya Shiromizu

In this paper, we consider the generalized Gauss-Bonnet action in $4$-dimensional Weyl-Cartan space-time. In this space-time, the presence of torsion tensor and Weyl vector implies that the generalized Gauss-Bonnet action will not be a…

General Relativity and Quantum Cosmology · Physics 2016-04-19 Zahra Haghani , Nima Khosravi , Shahab Shahidi

The addition of Kounterterms to Einstein gravity leads to a finite action for asymptotically anti-de Sitter (AdS) spaces with a conformally flat boundary. In that sense, it provides a partial renormalization for AdS gravity when compared to…

High Energy Physics - Theory · Physics 2026-04-01 Giorgos Anastasiou , Jahaira Bonifacio-Chavez , Olivera Miskovic , Rodrigo Olea

A way of covariantizing duality symmetric actions is proposed. As examples considered are a manifestly space-time invariant duality--symmetric action for abelian gauge fields coupled to axion-dilaton fields and gravity in D=4, and a…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Pasti , Dmitrij Sorokin , Mario Tonin

We use the AdS/CFT correspondence to argue that large dyonic black holes in anti-de Sitter spacetime are dual to stationary solutions of the equations of relativistic magnetohydrodynamics on the conformal boundary of AdS. The dyonic…

High Energy Physics - Theory · Physics 2009-03-27 Marco M. Caldarelli , Oscar J. C. Dias , Dietmar Klemm

A manifestly Lorentz and diffeomorphism invariant form for the abelian gauge field action with local duality symmetry of Schwarz and Sen is given. Some of the underlying symmetries of the covariant action are further considered. The Noether…

High Energy Physics - Theory · Physics 2009-10-28 A. Khoudeir , N. Pantoja

The boundary stress tensor approach has proven extremely useful in defining mass and angular momentum in asymptotically anti-de Sitter spaces with CFT duals. An integral part of this method is the use of boundary counterterms to regulate…

High Energy Physics - Theory · Physics 2013-05-29 James T. Liu , W. A. Sabra

It is shown that the model of 2d dilaton gravity is equivalent to the dynamical system of massless particles in the Liouville field.

High Energy Physics - Theory · Physics 2007-05-23 George Chechelashvili , George Jorjadze

A variational principle for gauge theories of gravity is presented, which maintains manifest covariance under the symmetries to which the action is invariant, throughout the calculation of the equations of motion and conservation laws. This…

General Relativity and Quantum Cosmology · Physics 2023-09-27 Michael Hobson , Anthony Lasenby , Will Barker

Two-dimensional matterless dilaton gravity is a topological theory and can be classically reduced to a (0+1)-dimensional theory with a finite number of degrees of freedom. If quantization is performed, a simple gauge invariant quantum…

High Energy Physics - Theory · Physics 2007-05-23 Marco Cavaglia , Vittorio de Alfaro

Known as a symmetry of vacuum Maxwell equations, the electric-magnetic duality can be lifted actually to a symmetry of an action. The Lagrangian of this action is written in terms of two vector potentials, one electric and one magnetic, and…

High Energy Physics - Theory · Physics 2014-11-21 Ignacio Cortese , José Antonio García

We present the first formulation of linearised gravity in four dimensions which is manifestly Lorentz covariant and democratic, i.e. treats the two frames related by electric-magnetic duality on equal footing. It is well-known that…

High Energy Physics - Theory · Physics 2026-04-16 Calvin Y. -R. Chen , Euihun Joung , Karapet Mkrtchyan