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We introduce a generalized gravitational conformal invariance in the context of non-compactified 5D Kaluza-Klein theory. It is done by assuming the 4D metric to be dependent on the extra non-compactified dimension. It is then shown that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 F. Darabi , P. S. Wesson

We study the generalized massive gravity in three dimensional flat spacetime. A massive logarithmic mode is propagating in the flat spacetime at the critical point where two masses degenerate. Furthermore, we discuss the logarithmic…

High Energy Physics - Theory · Physics 2013-01-17 Yong-Wan Kim , Yun Soo Myung , Young-Jai Park

Using the notion of Galilean conformal algebra (GCA) in arbitrary space dimension d, we introduce for d=3 quantized nonrelativistic counterpart of twistors as the spinorial representation of O(2,1){\oplus}SO(3) which is the maximal…

High Energy Physics - Theory · Physics 2011-09-14 S. Fedoruk , P. Kosinski , J. Lukierski , P. Maslanka

After defining conformal Galilean-type algebras for arbitrary dynamical exponent $z$ we consider the particular cases of the conformal Galilei algebra (CGA) and the Schr\"odinger Lie algebra (sch). Galilei massless particles moving with…

High Energy Physics - Theory · Physics 2009-08-11 Peter C. Stichel

A canonical quantization for two dimensional gravity models, including a dilaton gravity model, is performed in a way suitable for the light-cone gauge. We extend the theory developed by Abdalla {\it et.al.}\cite{AM} and obtain the…

High Energy Physics - Theory · Physics 2007-05-23 Taku Uchino

Galilean Conformal Algebra (GCA) arises as a controlled nonrelativistic limit of the relativistic conformal algebra. In this paper, we initiate the study of momentum space correlation functions in two-dimensional GCA. We derive and solve…

High Energy Physics - Theory · Physics 2026-01-07 Anchita Chetia , Nirmalya Kajuri , Chandra Prakash

We show that a class of nonrelativistic algebras including non centrally-extended Schrodinger algebra and Galilean Conformal Algebra (GCA) has an affine extension in 2+1 hitherto unknown. This extension arises out of the conformal…

High Energy Physics - Theory · Physics 2014-11-20 Ali Hosseiny , Shahin Rouhani

In this thesis, the symmetry structure of gravitational theories at null infinity is studied further, in the case of pure gravity in four dimensions and also in the case of Einstein-Yang-Mills theory in $d$ dimensions with and without a…

General Relativity and Quantum Cosmology · Physics 2015-08-11 Pierre-Henry Lambert

We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS_3 backgrounds are not only shifted from their flat background values but, more…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

Galilean Conformal Algebras (GCA) have been recently proposed as a different non-relativistic limit of the AdS/CFT conjecture. In this note, we look at the representations of the GCA. We also construct explicitly the two and three point…

High Energy Physics - Theory · Physics 2014-11-18 Arjun Bagchi , Ipsita Mandal

Motivated by the apparent dependence of string $\sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric. We first show that all such "geometrical"…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Damour , S. Deser , J. McCarthy

We study the generalized minimal massive gravity (GMMG) in Compere, Song and Strominger boundary conditions employing a semi-product of a Virasoro and a $\hat{u}(1)$ Kac-Moody current algebras as the asymptotic symmetry algebra. We…

High Energy Physics - Theory · Physics 2021-09-10 Mohammad Reza Setare , Seyed Naseh Sajadi , Suat Dengiz , Ercan Kilicarslan

Galilean conformal algebra (GCA) is an Inonu-Wigner (IW) contraction of a conformal algebra, while Newton-Hooke string algebra is an IW contraction of an AdS algebra which is the isometry of an AdS space. It is shown that the GCA is a…

High Energy Physics - Theory · Physics 2014-11-18 Makoto Sakaguchi

We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point…

High Energy Physics - Theory · Physics 2015-06-30 Simón del Pino , Gaston Giribet , Adolfo Toloza , Jorge Zanelli

In this paper, we study the Carrollian and Galilean conformal field theories (CCFT and GCFT) in $d>2$ dimensions. We construct the highest weight representations (HWR) of Carrollian and Galilean conformal algebra (CCA and GCA). Even though…

High Energy Physics - Theory · Physics 2023-04-26 Bin Chen , Reiko Liu , Yu-fan Zheng

We investigate possibility of central extension for non-relativistic conformal algebras in 1+1 dimension. Three different forms of charges can be suggested. A trivial charge for temporal part of the algebra exists for all elements of…

High Energy Physics - Theory · Physics 2015-07-14 Ali Hosseiny

We add to Galilean symmetries the transformations describing constant accelerations. The corresponding extended Galilean algebra allows, in any dimension $D=d+1$, the introduction of one central charge $c$ while in $D=2+1$ we can have three…

High Energy Physics - Theory · Physics 2008-11-26 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

Non-relativistic versions of the AdS/CFT conjecture have recently been investigated in some detail. These have primarily been in the context of the Schrodinger symmetry group. Here we initiate a study based on a {\it different}…

High Energy Physics - Theory · Physics 2009-07-22 Arjun Bagchi , Rajesh Gopakumar

We analyze the symmetry realized asymptotically on the two dimensional boundary of AdS_3 geometry in topologically massive gravity, which consists of the gravitational Chern-Simons term as well as the usual Einstein-Hilbert and negative…

High Energy Physics - Theory · Physics 2014-11-18 Kyosuke Hotta , Yoshifumi Hyakutake , Takahiro Kubota , Hiroaki Tanida

Using the canonical formalism, we study the asymptotic symmetries of the topological 3-dimensional gravity with torsion. In the anti-de Sitter sector, the symmetries are realized by two independent Virasoro algebras with classical central…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Blagojevic , M. Vasilic