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A topological theory for euclidean gravity in eight dimensions is built by enforcing octonionic self-duality conditions on the spin connection. The eight-dimensional manifold must be of a special type, with G_2 or Spin(7) holonomy. The…

High Energy Physics - Theory · Physics 2015-06-26 Laurent Baulieu , Marc Bellon , Alessandro Tanzini

Three dimensional Einstein gravity with negative cosmological constant -1/\ell^2 deformed by a gravitational Chern-Simons action with coefficient 1/\mu is studied in an asymptotically AdS_3 spacetime. It is argued to violate unitary or…

High Energy Physics - Theory · Physics 2010-04-06 Wei Li , Wei Song , Andrew Strominger

We construct chiral N=(1,0) self-dual supergravity in Euclidean eight-dimensions with reduced holonomy Spin(7), including all the higher-order interactions in a closed form. We first establish the non-chiral N=(1,1) superspace supergravity…

High Energy Physics - Theory · Physics 2014-11-18 Hitoshi Nishino , Subhash Rajpoot

Chiral Higher Spin Gravity is the minimal extension of the graviton with propagating massless higher spin fields. It admits any value of the cosmological constant, including zero. Its existence implies that Chern-Simons vector models have…

High Energy Physics - Theory · Physics 2023-06-21 Alexey Sharapov , Evgeny Skvortsov , Richard Van Dongen

Chiral Higher Spin Gravity is unique in being the smallest higher spin extension of gravity and in having a simple local action both in flat and (anti)-de Sitter spaces. It must be a closed subsector of any other higher spin theory in four…

High Energy Physics - Theory · Physics 2020-05-06 Evgeny Skvortsov , Tung Tran , Mirian Tsulaia

It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their {\it ansatz}…

High Energy Physics - Theory · Physics 2009-10-22 R. C. Myers , V. Periwal

Conformally-invariant and pure, scale-invariant theories of gravity are particularly interesting in four or higher dimensions. Yet, in contrast to their four-dimensional counterparts, theories in higher dimensions are significantly more…

High Energy Physics - Theory · Physics 2026-04-16 Anamaria Hell , Dieter Lust

Chiral Higher Spin Gravity with cosmological constant is constructed as a Free Differential Algebra, i.e. at the level of equations of motion, which is a smooth deformation of its flat space cousin arXiv:2205.07794. Chiral Higher Spin…

High Energy Physics - Theory · Physics 2022-10-26 Alexey Sharapov , Evgeny Skvortsov

We present a covariant nonlinear completion of the Fierz-Pauli (FP) mass term for the graviton. The starting observation is that the FP mass is immediately obtained by expanding the cosmological constant term, i.e. the determinant of the…

High Energy Physics - Theory · Physics 2011-10-11 Stefan Groot Nibbelink , Marco Peloso

An example of a higher spin gravity in four-dimensional flat space has recently been constructed in arXiv:1609.04655 [hep-th]. This theory is chiral and the action is written in the light-cone gauge. The theory has certain stringy features,…

High Energy Physics - Theory · Physics 2018-07-25 Evgeny D. Skvortsov , Tung Tran , Mirian Tsulaia

In four spacetime dimensions, the classically integrable self-dual sectors of gauge theory and gravity have associated chiral algebras, which emerge naturally from their description in twistor space. We show that there are similar chiral…

High Energy Physics - Theory · Physics 2025-06-30 Tim Adamo , Iustin Surubaru

In this thesis we take Einstein theory in dimension four seriously, and explore the special aspects of gravity in this number of dimension. Among the many surprising features in dimension four, one of them is the possibility of `Chiral…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Yannick Herfray

We provide the first evidence for a holographic correspondence between a gravitational theory in flat space and a specific unitary field theory in one dimension lower. The gravitational theory is a flat-space limit of topologically massive…

High Energy Physics - Theory · Physics 2012-10-12 Arjun Bagchi , Stephane Detournay , Daniel Grumiller

This is intended as a broad introduction to Chern-Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant system --with a fiber bundle formulation-- in more than three dimensions,…

High Energy Physics - Theory · Physics 2008-03-21 Jorge Zanelli

Einstein-Cartan theory is formulated in (1+2)-dimensions using the algebra of exterior differential forms. A Dirac spinor is coupled to gravity and the field equations are obtained by a variational principle. The space-time torsion is found…

General Relativity and Quantum Cosmology · Physics 2010-02-05 T. Dereli , N. Ozdemir , O. Sert

We propose and study a new first order version of the ghost-free massive gravity. Instead of metrics or tetrads, it uses a connection together with Plebanski's chiral 2-forms as fundamental variables, rendering the phase space structure…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov , Kirill Krasnov , Simone Speziale

We study the non-perturbative corrections generated by exotic instantons in U(N) gauge theories in eight and four dimensions. As it was shown previously, the eight-dimensional prepotential can be resummed using a plethystic formula showing…

High Energy Physics - Theory · Physics 2021-05-05 F. Fucito , J. F. Morales , R. Poghossian

A formulation of abelian and non-abelian chiral gauge theories is presented together with arguments for the unitarity and renormalisability in four dimensions. IASSNS-HEP-94/70, UM-P-94/96, and RCHEP-94/26.

High Energy Physics - Theory · Physics 2007-05-23 Tien D Kieu

We derive the chiral kinetic theory in a non-Abelian gauge field using a self-consistent semiclassical expansion. Within this new expansion scheme, we disentangle the Wigner equations up to second order and demonstrate that they do not…

High Energy Physics - Phenomenology · Physics 2025-07-23 Xiao-Li Luo , Shu-Xiang Ma , Jian-Hua Gao

Gravity in d dimensions is formulated as the gauge theory of local SO(2,d-1) gauge group. The Chern-Pontryagin index ${\cal P}_{2n}$ plays a crucial role in both gravity and gauge theories. ${\cal P}_{2n}(gravity)$ gives the gravitational…

High Energy Physics - Theory · Physics 2009-04-28 Takeshi Fukuyama
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