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We show that a recently proposed action for three-dimensional non-relativistic gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the co-adjoint Poincare algebra. We point out the similarity of our…

High Energy Physics - Theory · Physics 2021-03-17 Eric Bergshoeff , Joaquim Gomis , Patricio Salgado-Rebolledo

In this work we present an alternative method to construct diverse non-relativistic Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply the Lie algebra expansion method based on semigroups to a…

High Energy Physics - Theory · Physics 2021-02-23 Patrick Concha , Marcelo Ipinza , Lucrezia Ravera , Evelyn Rodríguez

In this paper, we consider the generalized Gauss-Bonnet action in $4$-dimensional Weyl-Cartan space-time. In this space-time, the presence of torsion tensor and Weyl vector implies that the generalized Gauss-Bonnet action will not be a…

General Relativity and Quantum Cosmology · Physics 2016-04-19 Zahra Haghani , Nima Khosravi , Shahab Shahidi

We study properties of Newton-Cartan gravity under transformations into all noninertial, nonrelativistic reference frames. The set of these transformations has the structure of an infinite dimensional Lie group, called the Galilean line…

General Relativity and Quantum Cosmology · Physics 2014-12-31 Leo Rodriguez , James St. Germaine-Fuller , Sujeev Wickramasekara

We provide an off-shell formulation of four-dimensional higher spin gravity based on a covariant Hamiltonian action on an open nine-dimensional Poisson manifold whose boundary consists of the direct product of spacetime and a noncommutative…

High Energy Physics - Theory · Physics 2016-03-29 Nicolas Boulanger , Ergin Sezgin , Per Sundell

The constrained Hamiltonian analysis of geometric actions is worked out before applying the construction to the extended Bondi-Metzner-Sachs group in four dimensions. For any Hamiltonian associated with an extended BMS$_4$ generator, this…

High Energy Physics - Theory · Physics 2023-01-18 Glenn Barnich , Kevin Nguyen , Romain Ruzziconi

We consider the general $\mathcal{N}{=}\,4,$ $d{=}\,3$ Galilean superalgebra with arbitrary central charges and study its dynamical realizations. Using the nonlinear realization techniques, we introduce a class of actions for…

High Energy Physics - Theory · Physics 2018-05-23 Sergey Fedoruk , Evgeny Ivanov , Jerzy Lukierski

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

The Einstein-Hilbert worldspace action is used to investigate the dynamics of extended object. In the Robertson-Walker worldspace, this is seen to introduce a pressureless density which could contribute to dark matter. Such pressureless…

Astrophysics · Physics 2007-05-23 U. Khanal

Over the past quarter century, considerable effort has been invested in the study of nonrelativistic (NR) string theory, its U-dual NR brane theories, and their geometric foundations in (generalized) Newton-Cartan geometry. Many interesting…

High Energy Physics - Theory · Physics 2025-07-18 Alberto Guijosa

We study a non-relativistic realisation of two-dimensional de Sitter gravity both from its boundary and bulk description with the goal of learning about de Sitter space and paving the way for extending the holographic duality into a…

High Energy Physics - Theory · Physics 2026-04-15 Matthias Harksen , Diego Hidalgo , Watse Sybesma

We present a new approach for generation of solutions in the four-dimensional heterotic string theory with one vector field and in the five-dimensional bosonic string theory starting from the static Einstein-Maxwell fields. Our approach…

High Energy Physics - Theory · Physics 2009-11-07 Alfredo Herrera-Aguilar , Oleg V. Kechkin

A string theory in $3$ euclidean spacetime dimensions is found to describe the semiclassical behavior of a certain exact physical state of quantum general relativity in $4$ dimensions. Both the worldsheet and the three dimensional metric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lee Smolin

We consider correlation functions in Neveu--Schwarz string theory coupled to two dimensional gravity. The action for the 2D gravity consists of the string induced Liouville action and the Jackiw--Teitelboim action describing pure 2D…

High Energy Physics - Theory · Physics 2009-10-22 Stefan Forste

Based on the structure of a Lie algebroid for non-geometric fluxes in string theory, a differential-geometry calculus is developed which combines usual diffeomorphisms with so-called \beta-diffeomorphisms emanating from gauge symmetries of…

High Energy Physics - Theory · Physics 2013-04-16 Ralph Blumenhagen , Andreas Deser , Erik Plauschinn , Felix Rennecke

In this work we consider heterotic-gravity as the low-energy approximation to heterotic string theory. We define a consistent non-relativistic limit of heterotic gravity that includes the Yang-Mills Chern-Simons term. We perform three tests…

High Energy Physics - Theory · Physics 2023-10-31 Eric Bergshoeff , Luca Romano

We consider the curvatures 2 form asociated with AdSL4 valued one-form gauge connetion, and then we construct a four-dimensional action that generalize the Einstein-Hilbert gravity. It is shown that the Maxwell extension of Einstein gravity…

High Energy Physics - Theory · Physics 2022-09-07 L. Cardenas , J. Diaz , P. Salgado , D. Salgado

We consider, in five dimensions, the effective action from heterotic string which includes quantum gravity corrections up to (a')^2. The expansion, in the string frame, is in terms of |a'R|, where R is the scalar curvature and uses the…

High Energy Physics - Theory · Physics 2010-11-05 A. Kuiroukidis

We consider the metrics for cosmic strings and $p$-branes in spacetime dimension $N>4$, that is, we look for solutions to Einstein-Maxwell-Dilaton gravity in $N$-dimensions with boost symmetry in the $p$-directions along the brane.…

High Energy Physics - Theory · Physics 2009-10-28 Ruth Gregory

Non-relativistic string theories promise to provide simpler theories of quantum gravity as well as tractable limits of the AdS/CFT correspondence. However, several apparently distinct non-relativistic string theories have been constructed.…

High Energy Physics - Theory · Physics 2019-11-19 Troels Harmark , Jelle Hartong , Lorenzo Menculini , Niels A. Obers , Gerben Oling
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