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Related papers: From parabolic to loxodromic BMS transformations

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This paper investigates first the four branches of BMS transformations, motivated by the classification into elliptic, parabolic, hyperbolic and loxodromic proposed a few years ago in the literature. We first prove that to each normal…

General Relativity and Quantum Cosmology · Physics 2023-04-24 Zahra Mirzaiyan , Giampiero Esposito

The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of…

High Energy Physics - Theory · Physics 2020-09-07 Romain Ruzziconi

The asymptotic symmetry group of general relativity in asymptotically flat spacetimes can be extended from the Bondi-Metzner-Sachs (BMS) group to the generalized BMS (GMBS) group suggested by Campiglia and Laddha, which includes arbitrary…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Eanna E. Flanagan , David A. Nichols

We construct a Lorentz invariant massive particle model in (2+1) space-time with an enlarged set of symmetries which includes Bondi-Metzner-Sachs (BMS) translations (supertranslations), using the non-linear realization framework. The…

High Energy Physics - Theory · Physics 2023-10-23 Carles Batlle , Víctor Campello , Joaquim Gomis

We construct the phase space of 3-dimensional asymptotically flat spacetimes that forms the bulk metric representation of the BMS group consisting of both supertranslations and superrotations. The asymptotic symmetry group is a unique copy…

High Energy Physics - Theory · Physics 2017-10-25 Geoffrey Compère , Adrien Fiorucci

The Lieb-Schultz-Mattis (LSM) theorem and its higher-dimensional extensions forbid the existence of a unique, symmetric, and gapped ground state at fractional fillings in quantum many-body systems with a conserved particle number (or spin…

Strongly Correlated Electrons · Physics 2026-05-18 G. Shankar , Joseph Maciejko

We probe the contraction from $2d$ relativistic CFTs to theories with Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, using diagnostics of quantum chaos. Starting from an Ultrarelativistic limit on a…

High Energy Physics - Theory · Physics 2023-01-04 Aritra Banerjee , Arpan Bhattacharyya , Priya Drashni , Srinidhi Pawar

The ordinary Bondi-Metzner-Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian space-times. As such, B is the best candidate for the universal symmetry group of General Relativity. However, in…

Representation Theory · Mathematics 2014-02-07 Evangelos Melas

Using the dictionary between Bondi and Fefferman-Graham gauges, we identify the analogues of the Bondi news, Bondi mass and Bondi angular momentum aspects at the boundary of generic asymptotically locally (A)dS$_4$ spacetimes. We introduce…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Geoffrey Compère , Adrien Fiorucci , Romain Ruzziconi

Two-dimensional (2d) field theories invariant under the Bondi-Metzner-Sachs algebra, or 2d BMSFTs in short, are putative holographic duals of Einstein gravity in 3d asymptotically flat spacetimes. When defined on a torus, these field…

High Energy Physics - Theory · Physics 2023-07-04 Arjun Bagchi , Saikat Mondal , Sanchari Pal , Max Riegler

In a previous paper (hep-th/0306142) we have started to explore the holographic principle in the case of asymptotically flat space-times and analyzed in particular different aspects of the Bondi-Metzner-Sachs (BMS) group, namely the…

High Energy Physics - Theory · Physics 2008-11-26 Giovanni Arcioni , Claudio Dappiaggi

The ordinary Bondi-Metzner-Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian space-times. As such, B is the best candidate for the universal symmetry group of General Relativity. However, in…

Representation Theory · Mathematics 2013-12-05 Evangelos Melas

Following recent developments in the classification of bosonic short-range entangled phases, we examine many-body quantum systems whose ground state fractionalization obeys the Lieb-Schultz-Mattis (LSM) theorem. We generalize the…

Strongly Correlated Electrons · Physics 2021-11-10 Hank Chen

Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, are intrinsically associated to null manifolds and in two dimensions can be obtained as an In{\"o}n{\"u}-Wigner contraction of the two-dimensional ($2d$)…

High Energy Physics - Theory · Physics 2022-10-19 Arjun Bagchi , Aritra Banerjee , Hisayoshi Muraki

This paper studies the nature of fractional linear transformations in a general relativity context as well as in a quantum theoretical framework. Two features are found to deserve special attention: the first is the possibility of…

General Relativity and Quantum Cosmology · Physics 2021-07-23 Vito Flavio Bellino , Giampiero Esposito

The asymptotic group of symmetries at null infinity of flat spacetimes in three and four dimensions is the infinite dimensional Bondi-Metzner-Sachs (BMS) group. This has recently been shown to be isomorphic to non-relativistic conformal…

High Energy Physics - Theory · Physics 2014-08-05 Arjun Bagchi , Reza Fareghbal

The extended-BMS algebra of asymptotically flat spacetime contains an SO(3,1) subgroup that acts by conformal transformations on the celestial sphere. It is of interest to study the representations of this subgroup associated with…

High Energy Physics - Theory · Physics 2022-02-16 Chang Liu , David A. Lowe

Two-level boson systems displaying a quantum phase transition from a spherical (symmetric) to a deformed (broken) phase are studied. A formalism to diagonalize Hamiltonians with $O(2L+1)$ symmetry for large number of bosons is worked out.…

Statistical Mechanics · Physics 2007-05-23 S. Dusuel , J. Vidal , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

We investigate topology changing processes in the WKB approximation of four dimensional quantum cosmology with a negative cosmological constant. As Riemannian manifolds which describe quantum tunnelings of spacetime we consider constant…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Shuxue Ding , Yasushige Maeda , Masaru Siino

We realize 4 of the 6 closed orientable flat 3-manifolds as a cusp section of an orientable finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps.

Geometric Topology · Mathematics 2026-04-29 Edoardo Rizzi
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