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In type IIB string theory, we consider fractional D3-branes in the orbifold background dual to four-dimensional N=2 supersymmetric Yang-Mills theory. We find the gravitational dual description of the generation of a non-trivial field theory…

High Energy Physics - Theory · Physics 2008-11-26 Paolo Merlatti

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

High Energy Physics - Theory · Physics 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner

Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum gravity theory. In particular, in doubly special relativity the…

General Relativity and Quantum Cosmology · Physics 2022-07-19 J. J. Relancio

The two-phase structure is imposed on the world continuum, with the graviton emerging as the tensor Goldstone boson during the spontaneous transition from the affinely connected phase to the metric one. The physics principle of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yu. F. Pirogov

The requirement of an $SL(2)$ duality symmetry, mixing the worldvolume field equations with Bianchi identities, leads to a highly nonlinear equation involving the transformation parameters and certain worldvolume currents. In general, this…

High Energy Physics - Theory · Physics 2015-06-26 E. Sezgin

GR can be interpreted as a theory of evolving 3-geometries. A recent such formulation, the 3-space approach of Barbour, Foster and \'{O} Murchadha, also permits the construction of a limited number of other theories of evolving…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Edward Anderson

We study holographic dual descriptions of very special conformal field theories with the T(2) symmetry. After constructing solutions in effective five dimensional Einstein gravity coupled with massive two-form fields, we uplift them to the…

High Energy Physics - Theory · Physics 2018-10-03 Yu Nakayama

We study the field equations of modified theories of gravity in which the lagrangian is a general function of the Ricci scalar and Ricci-squared terms in Palatini formalism. We show that the independent connection can be expressed as the…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

In a recent paper [1], it was introduced a new class of gravitational theories with two local degrees of freedom. The existence of these theories apparently challenges the distinctive role of general relativity as the unique non-linear…

General Relativity and Quantum Cosmology · Physics 2018-10-30 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati

In terms of Dirac matrices the self-dual and anti-self-dual decomposition of a conformal supergravity is given and a self-dual conformal supergravity theory is developed as a connection dynamic theory in which the basic dynamic variabes…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Guoying Chee , Yanhua Jia

Gravity, and the puzzle regarding its energy, can be understood from a gauge theory perspective. Gravity, i.e., dynamical spacetime geometry, can be considered as a local gauge theory of the symmetry group of Minkowski spacetime: the…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Chiang-Mei Chen , James M. Nester

Using the differential calculus on discrete group, we study the general relativity in the space-time which is the product of a four dimensional manifold by a two-point space. We generalize the usual concept of frame and connection in our…

High Energy Physics - Theory · Physics 2017-02-01 Bin Chen , Takesi Saito , Ke Wu

We show that the constraint algebra of Ashtekar's Hamiltonian formulation of general relativity can be non-trivially deformed by allowing the cosmological constant to become an arbitrary function of the (Weyl) curvature. Our result implies…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill Krasnov

Inspired by the low wave-length limit of topological M-theory, which re-constructs the theory of $3+1$D gravity in the self-dual variables' formulation, and by the realization that in Loop Quantum Gravity the holonomy of a flat connection…

High Energy Physics - Theory · Physics 2018-03-02 Andrea Addazi , Antonino Marciano

An action principle is described which unifies general relativity and topological field theory. An additional degree of freedom is introduced and depending on the value it takes the theory has solutions that reduce it to 1) general…

High Energy Physics - Theory · Physics 2007-05-23 Lee Smolin , Artem Starodubtsev

We search for theories, in general spacetime dimensions, that would incorporate a dilaton and higher powers of the scalar Ricci curvature such that they have exact S and/or T self-dualities. The theories we find are free of Ostrogradsky…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Tonguc Rador

We submit the viewpoint that, perhaps, some of the controversies in gravitation occurred during this century are not due to insufficiencies of Einstein's field equations, but rather to insufficiencies in the mathematics used for their…

General Physics · Physics 2011-04-15 Ruggero Maria Santilli

Einstein's theory in the vacuum was recently shown to possess an $SO(2)$ duality invariance, which is broken by coupling to matter. Duality invariance can be restored by enlarging the phase space of the theory to allow for violations of the…

High Energy Physics - Theory · Physics 2023-11-15 Uri Kol , Shing-Tung Yau

We drastically simplify the problem of linearizing a general higher-order theory of gravity. We reduce it to the evaluation of its Lagrangian on a particular Riemann tensor depending on two parameters, and the computation of two derivatives…

High Energy Physics - Theory · Physics 2016-11-09 Pablo Bueno , Pablo A. Cano

We study a deSitter/Anti-deSitter/Poincare Yang-Mills theory of gravity in d-space-time dimensions in an attempt to retain the best features of both general relativity and Yang-Mills theory: quadratic curvature, dimensionless coupling and…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Jack Gegenberg , Gabor Kunstatter