Symmetries in General Relativity and Quantum Gravity

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 31 May 2024 | Viewed by 978

Special Issue Editors


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Guest Editor
Departamento de Engenharia Informática e Sistemas de Informação, Universidade Lusófona de Humanidades e Tecnologias, Av. do Campo Grande 376, 1749-024 Lisbon, Portugal
Interests: loop quantum gravity; quantum cosmology; group theory; quantum gravity

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Guest Editor
Faculty of Physics, University of Belgrade, Studentski Trg 12, SR-11001 Belgrade, Serbia
Interests: noncommutative geometry

Special Issue Information

Dear Colleagues,

Symmetries are important tools for the study of GR and QG, since symmetry-reduced models play an important role. When the spacetime metric is invariant under finite Lie group transformations or under two-dimensional diffeomorphism transformations, one obtains tractable models, which can be a cosmological mini-superspace model or a 2D field theory model for a black hole formation.

Another use of symmetries is to assume that the diffeomorphism invariance is valid at large distances, while at the Planck length scales, we have some other symmetry. One way to achieve this is by changing the spacetime manifold structure, and some of the current approaches are:

  1. Changing the smooth manifold to a piecewise linear manifold and conserving the local Lorentz invariance. This yields the spin foam and Regge state-sum/state-integral models of QG;
  2. Replacing the local Lorentz group with some categorical group or a quantum group;
  3. Using a noncommutative manifold.

In this Special Issue, we welcome the submission of papers on the following topics:

  • Classical and quantum mini-superspace models;
  • Classical and quantum midi-superspace models;
  • 2D models of black holes;
  • Higher gauge theory formulations of GR;
  • State-sum models of QG;
  • Noncommutative geometry formulations of GR.

Papers on related topics will be also considered—for example, deformed GR theories. 

Prof. Dr. Aleksandar Mikovic
Prof. Dr. Maja Burić
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mini-superspace models
  • midi-superspace models
  • 2D dilation gravity models
  • higher gauge theory
  • state-sum models
  • noncommutative geometry
  • deformed GR

Published Papers (1 paper)

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Review

8 pages, 255 KiB  
Review
Gravity = Yang–Mills
by Roberto Bonezzi, Christoph Chiaffrino, Felipe Díaz-Jaramillo and Olaf Hohm
Symmetry 2023, 15(11), 2062; https://doi.org/10.3390/sym15112062 - 14 Nov 2023
Cited by 3 | Viewed by 589
Abstract
This essay’s title is justified by discussing a class of Yang–Mills-type theories of which standard Yang–Mills theories are special cases but which is broad enough to include gravity as a double field theory. We use the framework of homotopy algebras, where conventional Yang–Mills [...] Read more.
This essay’s title is justified by discussing a class of Yang–Mills-type theories of which standard Yang–Mills theories are special cases but which is broad enough to include gravity as a double field theory. We use the framework of homotopy algebras, where conventional Yang–Mills theory is the tensor product Kg of a ‘kinematic’ algebra K with a color Lie algebra g. The larger class of Yang–Mills-type theories are given by the tensor product of K with more general Lie-type algebras, of which K itself is an example, up to anomalies that can be canceled for the tensor product with a second copy K¯. Gravity is then given by KK¯. Full article
(This article belongs to the Special Issue Symmetries in General Relativity and Quantum Gravity)
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