Journal ArticleDOI
Homotopy groups and (2 + 1)-dimensional quantum de Sitter gravity
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In this paper, the integrated canonical commutation relations for (2 + 1)-dimensional de Sitter/anti-de Sitter gravity in first-order formalism are used to derive generalised spinor representations.About:
This article is published in Nuclear Physics.The article was published on 1990-07-30. It has received 101 citations till now. The article focuses on the topics: Quantum gravity & Gauge theory.read more
Citations
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The (2 + 1)-dimensional black hole
TL;DR: Banados, Teitelboim and Zanelli as discussed by the authors reviewed the classical and quantum properties of the (2 + 1)-dimensional (3 + 1) black hole and showed that it shares many of the characteristics of the Kerr black hole: it has an event horizon, an inner horizon, and an ergosphere; it occurs as an endpoint of gravitational collapse.
Journal ArticleDOI
Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
TL;DR: In this paper, the authors studied three-dimensional Chern-Simons theory with complex gauge group SL(2,ℂ) and showed that the classical and quantum properties of such theory are described by an algebraic curve called the A-polynomial of a knot.
Journal ArticleDOI
Quantum symmetry, the cosmological constant and Planck scale phenomenology
Giovanni Amelino-Camelia,Giovanni Amelino-Camelia,Lee Smolin,Lee Smolin,Artem Starodubtsev,Artem Starodubtsev +5 more
TL;DR: In this paper, a simple algebraic mechanism for the emergence of deformations of Poincar? symmetries in the low-energy limit of quantum theories of gravity is presented.
Book ChapterDOI
Introduction to doubly special relativity
TL;DR: In this paper, the relation between Doubly Special Relativity and quantum gravity, the formal structure of DSR proposal based on Poincar\'e algebra and non-commutative Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.
Journal ArticleDOI
Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
TL;DR: In this article, the authors studied three-dimensional Chern-Simons theory with complex gauge group SL(2,C) and showed that the classical and quantum properties of such theory are described by an algebraic curve called the A-polynomial of a knot.
References
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Journal ArticleDOI
A q -difference analogue of U(g) and the Yang-Baxter equation
TL;DR: Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced in this article, and its structure and representations are studied in the simplest case g=sl(2).
Journal ArticleDOI
(2+1)-Dimensional Gravity as an Exactly Soluble System
TL;DR: By disentangling the hamiltonian constraint equations, 2 + 1 dimensional gravity (with or without a cosmological constant) is shown to be exactly soluble at the classical and quantum levels.
Journal ArticleDOI
Compact matrix pseudogroups
TL;DR: The compact matrix pseudogroup as mentioned in this paper is a non-commutative compact space endowed with a group structure, and the existence and uniqueness of the Haar measure is proved and orthonormality relations for matrix elements of irreducible representations are derived.
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A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation
TL;DR: In this article, the structure and representations of the universal enveloping algebra U(g) were studied for g = g[(N+1) the structure of the algebra Ŭ(g), a q-analogue of the Universal Enveloping Algebra (U(g)).
Journal ArticleDOI
Three-dimensional Einstein gravity: Dynamics of flat space
TL;DR: In this article, the effects of mass and angular momentum on source-free regions are discussed and some of these effects, especially those generated by mass, angular momentum and mass, are discussed.