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We present a Lorentz gauge theory of gravity in which the metric is not dynamical. Spherically symmetric weak field solutions are studied. We show that this solution contains the Schwarzschild spacetime at least to the first order of…

General Relativity and Quantum Cosmology · Physics 2016-10-27 Ahmad Borzou

We consider quantum gravity model with the squared curvature action. We construct lattice discretization of the model (both on hypercubic and simplicial lattices) starting from its teleparallel equivalent. The resulting lattice models have…

High Energy Physics - Lattice · Physics 2009-11-10 M. A. Zubkov

In physical theories where the energy (action) is localized near a submanifold of a constant curvature space, there is a universal expression for the energy (or the action). We derive a multipole expansion for the energy that has a finite…

High Energy Physics - Theory · Physics 2017-03-10 Orlando Alvarez , Matthew Haddad

Local supersymmetries have been a guiding principle to construct smooth horizonless supergravity solutions. By computing brane densities from the brane low-energy effective action, we classify the BPS solutions that have the maximal local…

High Energy Physics - Theory · Physics 2025-12-01 Raphaël Dulac , Yixuan Li

Taking seriously the hypothesis that the full symmetry algebra of M-theory is osp(1|32,R), we derive the supersymmetry transformations for all fields that appear in 11- and 12-dimensional realizations and give the associated SUSY algebras.…

High Energy Physics - Theory · Physics 2010-04-05 Maxime Bagnoud , Luca Carlevaro , Adel Bilal

We study macroscopically two dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories constructed by compactifying the quiver gauge theories with eight supercharges on a product $\mathbb{T}^{d} \times \mathbb{R}^{2}_{\epsilon}$ of a…

High Energy Physics - Theory · Physics 2013-12-25 Nikita Nekrasov , Vasily Pestun , Samson Shatashvili

Advances in the study of relativistic quantum phase space have established the set of Linear Canonical Transformations (LCTs) as a candidate for the fundamental symmetry group associated with relativistic quantum physics. In this framework,…

We investigate the possibility of writing a manifestly supersymmetric action for 11-dimensional supergravity. The construction involves an explicit relation between the fields in the super-vielbein and the super-3-form, and uses non-minimal…

High Energy Physics - Theory · Physics 2010-03-17 Martin Cederwall

We construct heterotic string theories on spacetimes of the form R^{d-1,1} times N=2 linear dilaton, where d=6,4,2,0. There are two lines of supersymmetric theories descending from the two supersymmetric ten-dimensional heterotic theories.…

High Energy Physics - Theory · Physics 2009-11-11 Sameer Murthy

A local supersymmetric extension with N=2 of the dimensional continuation of the Euler-Gauss-Bonnet density from eight to nine dimensions is constructed. The gravitational sector is invariant under local Poincare translations, and the full…

High Energy Physics - Theory · Physics 2009-11-07 Mokhtar Hassaine , Rodrigo Olea , Ricardo Troncoso

Some special solutions of the Einstein-Maxwell action with a non-negative cosmological constant and a very heavy point mass particle have been obtained. The solutions correspond to static spacetime of locally constant curvature in its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Jafarizadeh , H. Fakhri , S. K. Moayedi

The Lie-Poisson algebra so(N+1) and some of its contractions are used to construct a family of superintegrable Hamiltonians on the ND spherical, Euclidean, hyperbolic, Minkowskian and (anti-)de Sitter spaces. We firstly present a…

Mathematical Physics · Physics 2008-11-26 Francisco J. Herranz , Angel Ballesteros

We show that the data needed for the method of the embedding tensor employed in gauging supergravity theories are precisely those of a Leibniz algebra (with one of its induced quotient Lie algebras embedded into a rigid symmetry Lie algebra…

High Energy Physics - Theory · Physics 2019-10-02 Alexei Kotov , Thomas Strobl

The aim of this paper is to discuss a kinematical algebraic structure of a theory of gravity, that would be unitary, renormalizable and coupled in the same manner to both spinorial and tensorial matter fields. An analysis of the common…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dj. Sijacki

Nonlocal terms in the Einstein Hilbert(EH) action appears as IR corrections in effective theory of quantum gravity. Here we have considered such an action keeping the terms which are quadratic in Ricci Scalar. We obtain the solution for a…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Utkarsh Kumar , Sukanta Panda

In this work we study the deformations into Lie bialgebras of the three relativistic Lie algebras: de Sitter, Anti-de Sitter and Poincar\'e, which describe the symmetries of the three maximally symmetric spacetimes. These algebras represent…

High Energy Physics - Theory · Physics 2018-10-23 Flavio Mercati , Matteo Sergola

The first class constraints in N = 1 supergravity in 2 + 1 dimensions are used to construct a generator of three gauge symmetries (including a local supersymmetry) that leave the action invariant. The algebra of these symmetries closes.…

High Energy Physics - Theory · Physics 2013-07-09 D. G. C. McKeon

From a covariant Hamiltonian formulation, by using symplectic ideas, we obtain certain covariant boundary expressions for the quasilocal quantities of general relativity and other geometric gravity theories. The contribution from each of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 C. M. Chen , J. M. Nester

In this work we investigate connections between superalgebras and their realizations in terms of particles, branes and field theory models. We start from Poincar\'e superalgebras with brane charges and study its representations. The…

High Energy Physics - Theory · Physics 2007-05-23 Igor Rudychev

Four dimensional N=1 supersymmetric gauge theories with unitary gauge groups and matter in the adjoint and fundamental representations give rise to a series of non-trivial fixed points with an ADE classification. Many of these models…

High Energy Physics - Theory · Physics 2014-01-23 David Kutasov , Jennifer Lin
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