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Related papers: Novel nonlinear kinetic terms for gravitons

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We investigate the effect of (Curvature)^2-terms on N=1 and N=2 supergravity in three dimensions. We use the off-shell component fields (e_\mu{}^m, \psi_\mu, S) for N=1 and (e_\mu{}^m, \psi_\mu, \psi_\mu^*, A_\mu, B, B^*) for N=2…

High Energy Physics - Theory · Physics 2008-11-26 Hitoshi Nishino , Subhash Rajpoot

We obtain a dynamical formulation of two-dimensional gravity from a non-Einsteinian phase in higher dimensions $(D=3+2n)$. The formalism is associated with (at least) one extra dimension of vanishing proper length, thus being inequivalent…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Suvikranth Gera , Sandipan Sengupta

We show that the problem of ghosts in critical gravity and its higher dimensional extensions can be resolved by giving dynamics to the symmetric rank two auxiliary field existing in the action of these theories. These New Bi-Gravities, at…

High Energy Physics - Theory · Physics 2017-09-12 Amin Akhavan , Ali Naseh , Azadeh Nemati , Ahmad Shirzad

If the kinetic interactions of a Lorentz-invariant massive graviton are Einstein-Hilbert, then the only possible potential terms free from the Boulware-Deser ghost are those of de Rham, Gabadadze and Tolley (dRGT). We point out there are…

High Energy Physics - Theory · Physics 2018-08-10 Kurt Hinterbichler

We discuss the ghost freeness in the case when we add matter coupled to two metrics to the ghost-free bigravity. In this paper we show that the Boulware-Deser ghost generally revives in the presence of doubly coupled matter and that ghost…

High Energy Physics - Theory · Physics 2015-06-22 Yasuho Yamashita , Antonio De Felice , Takahiro Tanaka

An extension of the bimetric theory of gravity is considered that includes quadratic Ricci curvature terms associated with each metric. The issue of the Boulware-Deser ghost is analyzed. The Hamiltonian constraint is derived and the…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

We give an introduction to massive spin-2 theories and the problem of their non-linear completion. We review the Boulware-Deser ghost problem and two ways to circumvent classic no-go theorems. In turn, massive spin-2 theories are not…

High Energy Physics - Theory · Physics 2013-12-09 Sarah Folkerts , Cristiano Germani , Nico Wintergerst

A new class of N=2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to R_{\mu\nu}^2 - 1/3*R^2, which equals the…

High Energy Physics - Theory · Physics 2015-06-16 Daniel Butter , Bernard de Wit , Sergei M. Kuzenko , Ivano Lodato

In massive gravity and in bimetric theories of gravity, two constraints are needed to eliminate the two phase-space degrees of freedom of the Boulware-Deser ghost. For recently proposed non-linear theories, a Hamiltonian constraint has been…

High Energy Physics - Theory · Physics 2015-06-03 S. F. Hassan , Rachel A. Rosen

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 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

In this paper we investigate the possible supersymmetric extensions for the massive (bi)gravity theories in the lowest non-trivial order. For this purpose we construct the cubic interaction vertices for massive spin-2 and one or two massive…

High Energy Physics - Theory · Physics 2018-08-08 Yu. M. Zinoviev

The quantum cosmology of a higher-derivative derivative gravity theory arising from the heterotic string effective action is reviewed. A new type of Wheeler-DeWitt equation is obtained when the dilaton is coupled to the quadratic curvature…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Simon Davis

We explore non-Gaussian features of a massless spin-two field in the Vasiliev theory of higher-spin gravity. The theory contains an infinite tower of interacting gauge fields with increasing spin, and admits four-dimensional asymptotically…

High Energy Physics - Theory · Physics 2019-05-01 D. Anninos , V. De Luca , G. Franciolini , A. Kehagias , A. Riotto

We present a simplified formulation of massive gravity where the Higgs fields have quadratic kinetic term. This new formulation allows us to prove in a very explicit way that all massive gravity theories considered so far inevitably have…

High Energy Physics - Theory · Physics 2011-11-11 Ali H. Chamseddine , Viatcheslav Mukhanov

Weyl gravity in the presence of a non-minimal matter-curvature coupling is presented. Some properties arising from the non-metricity give rise to a second order theory whose vacuum is compatible with a cosmological constant, under…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Cláudio Gomes , Orfeu Bertolami

Motivated by the spin-2 nature of gravity, we consider a theory of N interacting spin-2 fields, formulated in terms of vielbeins which have been argued to be free of the Boulware-Deser ghost. This is the only known such theory with…

High Energy Physics - Theory · Physics 2025-03-03 J. Flinckman , S. F. Hassan

We propose a novel but natural definition of conserved quantities for gravity models quadratic and higher in curvature. Based on the spatial asymptotics of curvature rather than of metric, it avoids the GR energy machinery's more egregious…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Deser , Bayram Tekin

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 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We study the New Massive Gravity extended by the curvature cubed invariant and the Cosmological Constant using the tree-level scattering amplitudes on a maximally symmetric space-time. We identify the parameter space, consisting of the…

High Energy Physics - Theory · Physics 2020-06-16 Giorgi Tukhashvili

We give a detailed analysis of the particle spectrum and the perturbative unitarity of the recently introduced Weyl-invariant version of the new massive gravity in 2+1 dimensions. By computing the action up to second order in the…

High Energy Physics - Theory · Physics 2012-03-13 M. Reza Tanhayi , Suat Dengiz , Bayram Tekin