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Related papers: (Super)$\,$Gravity from Positivity

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The consistency of the EFT of two interacting spin-2 fields is checked by applying forward limit positivity bounds on the scattering amplitudes to exclude the region of parameter space devoid of a standard UV completion. We focus on two…

High Energy Physics - Theory · Physics 2020-04-22 Lasma Alberte , Claudia de Rham , Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

Electromagnetic interactions of the spin 3/2 particle are investigated while allowing the propagation of the transverse spin 1/2 component present in the reducible Rarita-Schwinger vector-spinor. This is done by allowing a more general form…

High Energy Physics - Theory · Physics 2011-11-23 Konstantin G. Savvidy

For a low energy effective theory to admit a standard local, unitary, analytic and Lorentz-invariant UV completion, its scattering amplitudes must satisfy certain inequalities. While these bounds are known in the forward limit for real…

High Energy Physics - Theory · Physics 2018-04-04 Claudia de Rham , Scott Melville , Andrew J. Tolley , Shuang-Yong Zhou

We study the constraints coming from local causality requirement in various $2+1$ dimensional dynamical theories of gravity. In topologically massive gravity, with a single parity non-invariant massive degree of freedom, and in new massive…

High Energy Physics - Theory · Physics 2017-05-16 Jose D. Edelstein , Gaston Giribet , Carolina Gomez , Ercan Kilicarslan , Matias Leoni , Bayram Tekin

We construct stationary flat three-dimensional Lorentzian manifolds with singularities that are obtained from Euclidean surfaces with cone singularities and closed one-forms on these surfaces. In the application to (2+1)-gravity, these…

Differential Geometry · Mathematics 2014-03-20 Thierry Barbot , Catherine Meusburger

The presence of a massless spin-2 field in an effective field theory results in a $t$-channel pole in the scattering amplitudes that precludes the application of standard positivity bounds. Despite this, recent arguments based on…

High Energy Physics - Theory · Physics 2021-01-04 Lasma Alberte , Claudia de Rham , Sumer Jaitly , Andrew J. Tolley

We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the…

High Energy Physics - Theory · Physics 2019-09-04 Euihun Joung , Karapet Mkrtchyan , Gabriel Poghosyan

We investigate the ultraviolet (UV) behavior of two-scalar elastic scattering with graviton exchanges in higher curvature gravity theory. In the Einstein gravity, matter scattering is shown not to satisfy tree unitarity at high energy.…

High Energy Physics - Theory · Physics 2019-12-06 Yugo Abe , Takeo Inami , Keisuke Izumi , Tomotaka Kitamura

We examine universal positivity constraints on $2 \to 2$ scattering in 4d planar $N=4$ supersymmetric Yang-Mills theory with higher-derivative corrections. We present numerical evidence that the convex region of allowed Wilson coefficients…

High Energy Physics - Theory · Physics 2023-10-18 Justin Berman , Henriette Elvang , Aidan Herderschee

We formulate Positivity Bounds for scattering amplitudes including exchange of massless particles. We generalize the standard construction through dispersion relations to include the presence of a branch cut along the real axis in the…

High Energy Physics - Theory · Physics 2021-12-08 Mario Herrero-Valea , Raquel Santos-Garcia , Anna Tokareva

We obtain the matter-graviton scattering amplitude in the gravitational theory of quadratic curvature, which has $R_{\mu\nu}^2$ term in the action. Unitarity bound is not satisfied because of the existence of negative norm states, while an…

High Energy Physics - Theory · Physics 2023-04-12 Yugo Abe , Takeo Inami , Keisuke Izumi

We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy…

High Energy Physics - Theory · Physics 2022-09-07 Subham Dutta Chowdhury , Kausik Ghosh , Parthiv Haldar , Prashanth Raman , Aninda Sinha

In this paper the relativistic quantum dynamics of a spin-1/2 neutral particle with a magnetic moment $\mu$ in the cosmic string spacetime is reexamined by applying the von Neumann theory of self--adjoint extensions. Contrary to previous…

High Energy Physics - Theory · Physics 2017-02-01 Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational theory can lead to a modification of…

High Energy Physics - Theory · Physics 2009-11-10 C. Wetterich

It is well-known that gravitino propagation in standard supergravities is free of any causality problems. However, two issues related to gravitino propagation were recently uncovered in specific supergravities with nonlinear supersymmetry.…

High Energy Physics - Theory · Physics 2022-11-30 Quentin Bonnefoy , Gabriele Casagrande , Emilian Dudas

We obtain a new 3D gravity model from two copies of parity-odd Einstein-Cartan theories. Using Hamiltonian analysis, we demonstrate that the only local degrees of freedom are two massive spin-2 modes. Unitarity of the model in anti-de…

High Energy Physics - Theory · Physics 2019-07-19 Mehmet Ozkan , Yi Pang , Utku Zorba

According to common lore, massive elementary higher spin particles lead to inconsistencies when coupled to gravity. However, this scenario was not completely ruled out by previous arguments. In this paper, we show that in a theory where the…

High Energy Physics - Theory · Physics 2019-05-01 Nima Afkhami-Jeddi , Sandipan Kundu , Amirhossein Tajdini

We combine old and new quantum field theoretic arguments to show that any theory of stable or metastable higher spin particles can be coupled to gravity only when the gravity sector has a stringy structure. Metastable higher spin particles,…

High Energy Physics - Theory · Physics 2021-03-17 Jared Kaplan , Sandipan Kundu

We derive Einstein's equations from a linear theory in flat space-time using free-field gauge invariance and universal coupling. The gravitational potential can be either covariant or contravariant and of almost any density weight. We adapt…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Brian Pitts , W. C. Schieve

Hypergravity is the theory in which the graviton, of spin-2, has a supersymmetric partner of spin-5/2. There are "no-go" theorems that prevent interactions in these higher spin theories. However, it appears that one can circumvent them by…

High Energy Physics - Theory · Physics 2014-09-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner , Amaury Leonard