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The $\alpha'$-complete cosmology developed by Hohm and Zwiebach classifies the ${\rm O}(d,d;{\mathbb R})$ invariant theories involving metric, $b$-field and dilaton that only depend on time, to all orders in $\alpha'$. Some of these…

High Energy Physics - Theory · Physics 2021-03-17 Carmen A. Núñez , Facundo Emanuel Rost

The dynamics of the Brans-Dicke theory with a quadratic scalar field potential function and barotropic matter is investigated. The dynamical system methods are used to reveal complexity of dynamical evolution in homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Orest Hrycyna , Marek Szydlowski

The CPT theorem states that a unitary and Lorentz-invariant theory must also be invariant under a discrete symmetry $\mathbf{CRT}$ which reverses charge, time, and one spatial direction. In this article, we study a $\mathbb{Z}_2 \times…

High Energy Physics - Theory · Physics 2026-02-18 Harry Goodhew , Ayngaran Thavanesan , Aron C. Wall

We use factorisations of the local isometry groups arising in 3d gravity for Lorentzian and Euclidean signatures and any value of the cosmological constant to construct associated bicrossproduct quantum groups via semidualisation. In this…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Prince K. Osei , Bernd J. Schroers

We propose a novel prescription for computing the boundary stress tensor and charges of asymptotically de Sitter (dS) spacetimes from data at early or late time infinity. If there is a holographic dual to dS spaces, defined analogously to…

High Energy Physics - Theory · Physics 2009-11-07 Vijay Balasubramanian , Jan de Boer , Djordje Minic

We find an exact solution of the equations of motion of a two-field cosmological model, which realizes multi-field dark energy. The latter is characterized by field-space trajectories with turning rates that are always large. We study a…

High Energy Physics - Theory · Physics 2022-03-14 Lilia Anguelova , John Dumancic , Richard Gass , L. C. R. Wijewardhana

In this paper we study quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building on previous results in the finite dimensional subalgebras we classify all possible…

High Energy Physics - Theory · Physics 2021-12-01 A. Borowiec , J. Kowalski-Glikman , J. Unger

We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder's algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge…

High Energy Physics - Theory · Physics 2016-09-06 Rabin Banerjee , Shailesh Kulkarni , Saurav Samanta

Doubly Special Relativity (DSR) augments special relativity by introducing, alongside the invariant speed of light $c$, a second observer-independent scale typically associated with the Planck regime. At the level of effective wave…

High Energy Physics - Theory · Physics 2026-02-27 Abdelmalek Boumali , Nosratollah Jafari

In the present lore of cosmology, matter and space-time emerged from a singularity and evolved through four different regimes: inflation, radiation, dark matter and dark energy dominated eras. In the radiation and dark matter dominated…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-13 J. A. S. Lima , S. Basilakos

We review the role of Drinfeld doubles and kappa-Poincare symmetries in quantised (2+1)-gravity and Chern-Simons theory. We discuss the conditions under which a given Hopf algebra symmetry is compatible with a Chern-Simons theory and…

General Relativity and Quantum Cosmology · Physics 2023-06-13 C. Meusburger

We construct models for first- and second-order Fermi acceleration of particles, incorporating generic frame transformations, dispersion relations, and conservation laws. Within this framework, we study deformations of Lorentz symmetry via…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Erick Aguiar , A. A. Araújo Filho , Valdir B. Bezerra , Gilson A. Ferreira , Iarley P. Lobo

A quantum theory of gravity implies a fine-grained structure of spacetime, which can be conveniently modeled as some form of pixelation at the Planck scale, with potentially observable consequences. In this work, we build upon previous…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Paul C. W. Davies , Philip Tee

In this paper, we investigate the Poincar\'e and discrete symmetries of a $\kappa$-deformed spin-$\tfrac12$ field, extending recent results obtained for scalar fields. We construct an action that is Poincar\'e invariant and analyze its…

High Energy Physics - Theory · Physics 2026-05-29 Tadeusz Adach , Andrea Bevilacqua , Jerzy Kowalski-Glikman , Giacomo Rosati , Wojciech Wiślicki

We consider the Lie group $\mathbb{R}^D_\kappa$ generated by the Lie algebra of $\kappa$-Minkowski space. Imposing the invariance of the metric under the pull-back of diffeomorphisms induced by right translations in the group, we show that…

Mathematical Physics · Physics 2019-09-24 Danijel Jurman

The replacement of the Poincar\'e-invariant Einstein special relativity by a de Sitter-invariant special relativity produces concomitant changes in all relativistic theories, including general relativity. A crucial change in the latter is…

General Relativity and Quantum Cosmology · Physics 2017-05-23 A. Araujo , D. F. Lopez , J. G. Pereira

We study the quantization of a linear scalar field, whose symmetries are described by the kappa-Poincare' Hopf-algebra, via deformed Fock space construction. The one-particle sector of the theory exhibits a natural (planckian) cut-off for…

High Energy Physics - Theory · Physics 2008-11-26 Michele Arzano , Antonino Marciano

The study of phase-space constructions based on the properties of the $\kappa$-Poincar\'e Hopf algebra has been a very active area, mostly because of its possible applications in the phenomenology of Planck-scale-induced momentum dependence…

High Energy Physics - Theory · Physics 2012-03-27 Giacomo Rosati , Niccolo Loret , Giovanni Amelino-Camelia

We construct a manifestly covariant and coordinate-free plane-wave representation of scalar two-point functions in $d$-dimensional anti-de Sitter spacetime. The construction is based on a new class of holomorphic plane waves defined…

High Energy Physics - Theory · Physics 2026-03-16 Ugo Moschella

We investigate gauge/gravity duality for gauge theories in de Sitter space. More precisely, we study a five-dimensional consistent truncation of type IIB supergravity, which encompasses a wide variety of gravity duals of strongly coupled…

High Energy Physics - Theory · Physics 2015-12-09 Lilia Anguelova , Peter Suranyi , L. C. Rohana Wijewardhana