Chern–Simons-like formulation of exotic massive 3D gravity models

Abstract We investigate the Chern–Simons-like formulation of exotic general massive gravity models within the framework of third-way to three-dimensional gravity. We classify our construction into two main approaches: one using torsional cosmological Einstein and exotic massive gravity equations, an...

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Main Authors: Büşra Dedeoğlu, Mehmet Ozkan, Özgür Sarıoğlu
Format: Article
Language:English
Published: SpringerOpen 2024-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13494-y
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author Büşra Dedeoğlu
Mehmet Ozkan
Özgür Sarıoğlu
author_facet Büşra Dedeoğlu
Mehmet Ozkan
Özgür Sarıoğlu
author_sort Büşra Dedeoğlu
collection DOAJ
description Abstract We investigate the Chern–Simons-like formulation of exotic general massive gravity models within the framework of third-way to three-dimensional gravity. We classify our construction into two main approaches: one using torsional cosmological Einstein and exotic massive gravity equations, and the other a torsion-free approach. The former approach, while mathematically appealing, precludes the construction of critical exotic models where the central charges vanish. In contrast, the latter approach has a wider parameter space and allows for the construction of critical models. An explicit example of an exotic general model is provided to illustrate both methods. Our methodology represents the first step towards establishing the most general Chern–Simons-like formulation of third-way to three-dimensional gravity, which would enable the study of identifying its bulk/boundary unitary sector.
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institution Kabale University
issn 1434-6052
language English
publishDate 2024-11-01
publisher SpringerOpen
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series European Physical Journal C: Particles and Fields
spelling doaj-art-283a9f9e06aa4226a7fbe92a44dc42152024-12-29T12:44:03ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-11-01841111210.1140/epjc/s10052-024-13494-yChern–Simons-like formulation of exotic massive 3D gravity modelsBüşra Dedeoğlu0Mehmet Ozkan1Özgür Sarıoğlu2Department of Physics, Faculty of Arts and Sciences, Middle East Technical UniversityDepartment of Physics, Istanbul Technical UniversityDepartment of Physics, Faculty of Arts and Sciences, Middle East Technical UniversityAbstract We investigate the Chern–Simons-like formulation of exotic general massive gravity models within the framework of third-way to three-dimensional gravity. We classify our construction into two main approaches: one using torsional cosmological Einstein and exotic massive gravity equations, and the other a torsion-free approach. The former approach, while mathematically appealing, precludes the construction of critical exotic models where the central charges vanish. In contrast, the latter approach has a wider parameter space and allows for the construction of critical models. An explicit example of an exotic general model is provided to illustrate both methods. Our methodology represents the first step towards establishing the most general Chern–Simons-like formulation of third-way to three-dimensional gravity, which would enable the study of identifying its bulk/boundary unitary sector.https://doi.org/10.1140/epjc/s10052-024-13494-y
spellingShingle Büşra Dedeoğlu
Mehmet Ozkan
Özgür Sarıoğlu
Chern–Simons-like formulation of exotic massive 3D gravity models
European Physical Journal C: Particles and Fields
title Chern–Simons-like formulation of exotic massive 3D gravity models
title_full Chern–Simons-like formulation of exotic massive 3D gravity models
title_fullStr Chern–Simons-like formulation of exotic massive 3D gravity models
title_full_unstemmed Chern–Simons-like formulation of exotic massive 3D gravity models
title_short Chern–Simons-like formulation of exotic massive 3D gravity models
title_sort chern simons like formulation of exotic massive 3d gravity models
url https://doi.org/10.1140/epjc/s10052-024-13494-y
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AT mehmetozkan chernsimonslikeformulationofexoticmassive3dgravitymodels
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