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Topological euclidean gravity is built in eight dimensions for manifolds with $Spin(7) \subset SO(8)$ holonomy. In a previous work, we considered the construction of an eight-dimensional topological theory describing the graviton and one…

High Energy Physics - Theory · Physics 2009-11-10 Laurent Baulieu , Marc Bellon , Alessandro Tanzini

We analyze 2+1-dimensional gravity in the framework of quantum gauge theory. We find that Einstein gravity has a trivial physical subspace which reflects the fact that the classical solution in empty space is flat. Therefore we study…

General Relativity and Quantum Cosmology · Physics 2010-08-10 D. R. Grigore , G. Scharf

We construct a new covariant action for "flat" self-dual gravity in four spacetime dimensions. The action has just one term, but when expanded around an appropriate background gives rise to a kinetic term and a cubic interaction. Upon…

High Energy Physics - Theory · Physics 2022-01-19 Kirill Krasnov , Evgeny Skvortsov

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2…

High Energy Physics - Theory · Physics 2015-06-05 Yu. M. Zinoviev

Drawing an analogy between gravity dynamical equation of motion and that of Maxwell electrodynamics with an electric source we outline a way of appearance of a dual to graviton field. We propose a dimensional reduction ansatz for the field…

High Energy Physics - Theory · Physics 2007-05-23 Alexei J. Nurmagambetov

We revisit the two-field mimetic gravity model with shift symmetries recently proposed in the literature, especially the problems of degrees of freedom and stabilities. We first study the model at the linear cosmological perturbation level…

General Relativity and Quantum Cosmology · Physics 2020-09-25 Liuyuan Shen , Yunlong Zheng , Mingzhe Li

We present maximal supergravity in two dimensions with gauge group SO(9). The construction is based on selecting the proper embedding of the gauge group into the infinite-dimensional symmetry group of the ungauged theory. The bosonic part…

High Energy Physics - Theory · Physics 2015-06-11 Thomas Ortiz , Henning Samtleben

Given a set of differential forms on an odd-dimensional noncommutative manifold valued in an internal associative algebra H, we show that the most general cubic covariant Hamiltonian action, without mass terms, is controlled by an…

High Energy Physics - Theory · Physics 2017-02-01 Roberto Bonezzi , Nicolas Boulanger , Ergin Sezgin , Per Sundell

A modification of the harmonic superfield formalism in $D=4, N=2$ supergravity using a subsidiary condition of covariance under the background supersymmetry with a central charge ($B$-covariance) is considered. Conservation of analyticity…

High Energy Physics - Theory · Physics 2014-11-18 B. M. Zupnik

The conformal-gauge two-dimensional quantum gravity is formulated in the framework of the BRS quantization and solved completely in the Heisenberg picture: All n-point Wightman functions are explicitly obtained. The field-equation anomaly…

High Energy Physics - Theory · Physics 2009-10-31 Mitsuo Abe , Noboru Nakanishi

The quantum cosmology of two-dimensional dilaton-gravity models is investigated. A class of models is mapped onto the constrained oscillator-ghost-oscillator model. A number of exact and approximate solutions to the corresponding…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James E. Lidsey

It is well-known that the tight-binding Hamiltonian of graphene describes the low-energy excitations that appear to be massless chiral Dirac fermions. Thus, in the continuum limit one can analyze the crystal properties using the formalism…

Materials Science · Physics 2012-11-03 P. Kosinski , P. Maslanka , J. Slawinska , I. Zasada

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 this paper we generalize our previous model (arXiv: 1705.09331), on a hidden conformal symmetry of smooth braneworld scenarios, to the case with two real scalar fields non-minimally coupled to gravity. The gauge condition reduces the…

High Energy Physics - Theory · Physics 2019-10-28 G. Alencar , Merab Gogberashvili

In several elementary particle scenarios, self-dual fields emerge as fundamental degrees of freedom. Some examples are the $D = 2$ chiral boson, $D = 10$ Type IIB supergravity, and $D = 6$ chiral tensor multiplet theory. For those models, a…

High Energy Physics - Theory · Physics 2024-03-11 Gabriele Barbagallo , Pietro Antonio Grassi

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

We propose an action to describe high spin topologically massive gravity with a negative cosmological constant. With the frame-like fields and spin connections being combined into two gauge fields, the action includes two gauge field…

High Energy Physics - Theory · Physics 2015-05-30 Bin Chen , Jiang Long

Two-dimensional quantum fields in electric and gravitational backgrounds can be described by conformal field theories, and hence all the physical (covariant) quantities can be written in terms of the corresponding holomorphic quantities. In…

High Energy Physics - Theory · Physics 2008-11-26 Satoshi Iso , Takeshi Morita , Hiroshi Umetsu

On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Relations with dual electrodynamics, with the…

Mathematical Physics · Physics 2013-07-12 Valeriy V. Dvoeglazov

Covariant Lagrangian formulation for free bosonic massless fields of arbitrary mixed-symmetry type in (A)dS(d) space-time is presented. The analysis is based on the frame-like formulation of higher-spin field dynamics [1] with higher-spin…

High Energy Physics - Theory · Physics 2009-11-11 K. B. Alkalaev , O. V. Shaynkman , M. A. Vasiliev
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