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We construct a duality manifest gravitational theory for the special linear group, ${\mathbf{SL}(N)}$ with $N{\neq 4}$. The spacetime is formally extended, to have the dimension $\textstyle{\frac{1}{2}} N(N-1)$, yet is `gauged'.…

High Energy Physics - Theory · Physics 2014-07-08 Jeong-Hyuck Park , Yoonji Suh

Braneworld models typically predict gravity to grow stronger at short distances. In this paper, we consider braneworlds with two types of additional curvature couplings, a Gauss-Bonnet term in the bulk, and an Einstein-Hilbert (EH) term on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Claudia de Rham , Tetsuya Shiromizu , Andrew J. Tolley

We find new special physical operators of $W_3 -$gravity having non trivial ghost sectors. Some of these operators may be viewed as the liouville dressings of the energy operator of the Ising model coupled to {\it 2d~gravity} and this fills…

High Energy Physics - Theory · Physics 2007-05-23 S. Kalyana Rama

We study how the supersymmetry algebra copes with gravitational duality. As a playground, we consider a charged Taub-NUT solution of D=4, N=2 supergravity. We find explicitly its Killing spinors, and the projection they obey provides…

High Energy Physics - Theory · Physics 2009-06-30 Riccardo Argurio , François Dehouck , Laurent Houart

Linearized four-derivative gravity with a general gauge fixing term is considered. By a Legendre transform and a suitable diagonalization procedure it is cast into a second-order equivalent form where the nature of the physical degrees of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Bartoli , J. Julve , E. J. Sanchez

In this paper we study the spectrum of all conformal, ${\cal N}$-extended supergravities (${\cal N}=1,2,3,4$) in four space-time dimensions. When these theories are obtained as massless limit of Einstein plus Weyl$^2$supergravity, the…

High Energy Physics - Theory · Physics 2018-09-26 Sergio Ferrara , Alex Kehagias , Dieter Lust

I review recent work toward constructing, via five-dimensional holographic duals, four-dimensional theories in which spin-2 states (gravitons) are emergent. The basic idea is to extend to gravity model-building the applications of…

High Energy Physics - Theory · Physics 2008-11-26 F. Nitti

This note treats the notion of Lagrange derivative for the third order mechanics in the context of covariant Riemannian geometry. The variational differential equation for geodesic circles in two dimensions is obtained. The influence of the…

Differential Geometry · Mathematics 2014-07-24 R. Ya. Matsyuk

Chiral/self-dual restrictions of various super Yang-Mills and supergravity theories in (2,2) dimensions are described. These include the N=1 supergravity with a cosmological term and the N=1 new minimal supergravity theory. In the latter…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin

We investigate the gravitational one-loop divergences of the standard model in large extra dimensions, with gravitons propagating in the (4+delta)-dimensional bulk and gauge fields as well as scalar and fermionic multiplets confined to a…

High Energy Physics - Phenomenology · Physics 2009-08-03 Andreas Rodigast , Theodor Schuster

We combine the ghost-free bimetric theory of gravity with the concept of local Weyl invariance, realized in the framework of Einstein-Cartan gravity. The gravitational sector, characterized by two independent metrics and two independent…

High Energy Physics - Theory · Physics 2025-10-21 Ioannis D. Gialamas , Kyriakos Tamvakis

We study higher dimensional scenarios of massive bigravity, which is a very interesting extension of nonlinear massive gravity since its reference metric is assumed to be full dynamical. In particular, the Einstein field equations along…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tuan Q. Do

We show that generalized gravity theories involving the curvature invariants of the Ricci tensor and the Riemann tensor as well as the Ricci scalar are equivalent to multi- scalar-tensor gravities with four derivatives terms. By expanding…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Takeshi Chiba

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We consider a consistent linear effective vielbein matter coupling without introducing the Boulware-Deser ghost in ghost-free massive gravity. This is achieved in the partially constrained vielbein formulation. We first introduce the…

High Energy Physics - Theory · Physics 2016-01-13 Antonio De Felice , A. Emir Gümrükçüoğlu , Lavinia Heisenberg , Shinji Mukohyama

The description of low-energy (``soft") gravitons using universal theorems continues to attract attention. In this paper, we consider the emission of two soft gravitons, using a previously developed formalism that describes (next-to) soft…

High Energy Physics - Theory · Physics 2026-03-03 Karan Fernandes , Feng-Li Lin , Chris D. White

We discuss various aspects of dimensional reduction of gravity with the Einstein-Hilbert action supplemented by a lowest order deformation formed as the Riemann tensor raised to powers two, three or four. In the case of R^2 we give an…

High Energy Physics - Theory · Physics 2008-11-26 Ling Bao , Martin Cederwall , Bengt E. W. Nilsson

We derive the full perturbative equations of motion for the most general background solutions in ghost-free bimetric theory in its metric formulation. Clever field redefinitions at the level of fluctuations enable us to circumvent the…

High Energy Physics - Theory · Physics 2016-05-20 Laura Bernard , Cedric Deffayet , Angnis Schmidt-May , Mikael von Strauss

We analyze a bi-gravity model based on the first order formalism, having as fundamental variables two tetrads but only one Lorentz connection. We show that on a large class of backgrounds its linearization agrees with general relativity. At…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Simone Speziale

We consider two-dimensional supergravity theories with four supercharges constructed from compactification of Type II string theory on a generic Calabi-Yau four-fold. In Type IIA and Type IIB cases, respectively, new superspace formulations…

High Energy Physics - Theory · Physics 2012-08-27 S. James Gates, , Sergei Gukov , Edward Witten
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