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Holographic Chern–Simons Theories

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Modifications of Einstein's Theory of Gravity at Large Distances

Part of the book series: Lecture Notes in Physics ((LNP,volume 892))

Abstract

Chern–Simons theories in three dimensions are topological field theories that may have a holographic interpretation for suitable chosen gauge groups and boundary conditions on the fields. Conformal Chern–Simons gravity is a topological model of three-dimensional gravity that exhibits Weyl invariance and allows various holographic descriptions, including Anti-de Sitter, Lobachevsky and flat space holography. The same model also allows to address some aspects that arise in higher spin gravity in a considerably simplified setup, since both types of models have gauge symmetries other than diffeomorphisms. In these lectures we summarize briefly recent results.

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Notes

  1. 1.

    The same statement holds for SO(3,1), ISO(2,1) and SO(2,1)\(\times \mathbb{R}\) as subgroups of SO(3,2) corresponding to de Sitter, Flat and Lobachevsky boundary conditions [28].

  2. 2.

    It should be straightforward to generalize these results to other massive gravity theories like “new” massive gravity [83, 84].

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Acknowledgements

HA was supported by the Dutch stichting voor Fundamenteel Onderzoek der Materie (FOM). AB was supported by an INSPIRE award of the Department of Science and Technology, India. SD is a Research Associate of the Fonds de la Recherche Scientique F.R.S.-FNRS (Belgium). DG and SP were supported by the START project Y 435-N16 of the Austrian Science Fund (FWF) and the FWF projects I 952-N16 and I 1030-N27. MR was supported by the Austrian Science Fund (FWF) and the FWF project I 1030-N27. DG dedicates these proceedings contributions to the memory of his grandmother Gerda.

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Authors and Affiliations

  1. Centre for Theoretical Physics, University of Groningen, Nijenborgh 4, 9747 AG, Groningen, The Netherlands

    H. Afshar

  2. Indian Institute of Science Education and Research, Pune, 411008, India

    A. Bagchi

  3. Physique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, B-1050, Bruxelles, Belgium

    S. Detournay

  4. Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10/136, A-1040, Vienna, Austria

    D. Grumiller, S. Prohazka & M. Riegler

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  1. H. Afshar
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  1. Department of Physics, National Technical University of Athens, Athens, Greece

    Eleftherios Papantonopoulos

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Afshar, H., Bagchi, A., Detournay, S., Grumiller, D., Prohazka, S., Riegler, M. (2015). Holographic Chern–Simons Theories. In: Papantonopoulos, E. (eds) Modifications of Einstein's Theory of Gravity at Large Distances. Lecture Notes in Physics, vol 892. Springer, Cham. https://doi.org/10.1007/978-3-319-10070-8_12

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