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We extend Maldacena's argument, namely, obtaining Einstein gravity from Conformal Gravity, to six dimensional manifolds. The proof relies on a particular combination of conformal (and topological) invariants, which makes manifest the fact…

High Energy Physics - Theory · Physics 2021-02-24 Giorgos Anastasiou , Ignacio J. Araya , Rodrigo Olea

It is well-known that the gravitational force can be obtained by gauging the Lorentz group, which puts gravity on the same footing as the Standard Model fields. The resulting theory - Einstein-Cartan gravity - has several crucial…

High Energy Physics - Theory · Physics 2025-06-16 Mikhail Shaposhnikov

The usual Chern-Simons extension of Einstein gravity theory consists in adding a squared Riemann contribution to the Hilbert Lagrangian, which means that a square-curvature term is added to the linear-curvature leading term governing the…

General Physics · Physics 2021-03-30 Luca Fabbri

We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit…

High Energy Physics - Theory · Physics 2019-02-20 Eric Bergshoeff , Kevin Grosvenor , Ceyda Simsek , Ziqi Yan

Quadratic gravity presents us with a renormalizable, asymptotically free theory of quantum gravity. When its couplings grow strong at some scale, as in QCD, then this strong scale sets the Planck mass. QCD has a gluon that does not appear…

High Energy Physics - Theory · Physics 2016-06-15 Bob Holdom , Jing Ren

Scale invariant theories of gravity give a compelling explanation to the early and late time acceleration of the Universe. Unlike most scalar-tensor theories, fifth forces are absent and it would therefore seem impossible to distinguish…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Pedro G. Ferreira , Oliver J. Tattersall

A wide class of three-dimensional gravity models can be put into "Chern-Simons-like" form. We perform a Hamiltonian analysis of the general model and then specialise to Einstein-Cartan Gravity, General Massive Gravity, the recently proposed…

High Energy Physics - Theory · Physics 2014-12-15 Eric A. Bergshoeff , Olaf Hohm , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

The properties of a string-inspired two-dimensional theory of gravity are studied. The post-Newtonian and weak-field approximations, `stellar' structure and cosmological solutions of this theory are developed. Some qualitative similarities…

High Energy Physics - Theory · Physics 2009-10-22 R. B. Mann , S. F. Ross

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in…

High Energy Physics - Theory · Physics 2021-08-17 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

We discuss the choice of the Lagrangian in the Poincar\'e gauge theory of gravity. Drawing analogies to earlier de Sitter gauge models, we point out the possibility of deriving the Einstein-Cartan Lagrangian {\it without} cosmological term…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Yuri N. Obukhov , Friedrich W. Hehl

The locally supersymmetric extension of the most general gravity theory in three dimensions leading to first order field equations for the vielbein and the spin connection is constructed. Apart from the Einstein-Hilbert term with…

High Energy Physics - Theory · Physics 2008-11-26 Alex Giacomini , Ricardo Troncoso , Steven Willison

We describe higher-dimensional theories whose low-energy 4D descriptions contain larger gauge or global symmetry groups. As an example, we construct a Higgsless SU(2) x U(1) model of electroweak symmetry breaking. The 5D SU(2) gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christopher D. Carone , Joshua Erlich , Marc Sher

Similarily as in the Ashtekar approach, the translational Chern-Simons term is, as a generating function, instrumental for a chiral reformulation of simple (N=1) supergravity. After applying the algebraic Cartan relation between spin and…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Eckehard W. Mielke , Alfredo Macias

Carroll symmetry arises from Poincar\'e symmetry when the speed of light is sent to zero. In this work, we apply the Lie algebra expansion method to find the Carroll versions of different gravity models in three space-time dimensions. Our…

High Energy Physics - Theory · Physics 2025-01-03 Patrick Concha , Evelyn Rodríguez , Sebastián Salgado

An overview of matter-coupled ${\cal N}=2$ supergravity theories with 8 real supercharges, in 4,5 and 6 dimensions is given. The construction of the theories by superconformal methods is explained from basic principles. Special geometry is…

High Energy Physics - Theory · Physics 2020-04-27 Edoardo Lauria , Antoine Van Proeyen

We re-examine the problem of parity violation in single field inflation. We look for a systematic way to parametrically approach the scale at which maximal parity violation occurs, which is where we expect to find the presence of the Chern…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Maria Mylova

Using the Atiyah-Singer index theorem, we formally compute gravitational anomalies for fermionic higher-spin fields in two, six and ten dimensions, as well as the U(1) mixed gauge-gravitational anomaly in four dimensions. In all cases,…

High Energy Physics - Theory · Physics 2022-09-21 Victor Lekeu , Yi Zhang

We show that various dynamical gauge theories in two, three and four dimensions, obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) theories, are equivalent to gravitational theories. Since gravity…

High Energy Physics - Theory · Physics 2025-06-13 Leron Borsten , Dimitri Kanakaris , Hyungrok Kim

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

High Energy Physics - Theory · Physics 2019-03-22 Dongmin Gang , Masahito Yamazaki

Ten-dimensional type II supergravity can be reformulated as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\mathbb{R}^+$ structure on the generalised tangent space. To leading…

High Energy Physics - Theory · Physics 2015-06-04 André Coimbra , Charles Strickland-Constable , Daniel Waldram
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