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Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity

Ooguri, Hirosi and Sasakura, Naoki (1991) Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity. Modern Physics Letters A, 6 (39). pp. 3591-3600. ISSN 0217-7323. https://resolver.caltech.edu/CaltechAUTHORS:20161220-160613387

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Abstract

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k^2, where q=e^(2πi/(k+2)).


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1142/S0217732391004140DOIArticle
http://www.worldscientific.com/doi/abs/10.1142/S0217732391004140PublisherArticle
https://arxiv.org/abs/hep-th/9108006arXivDiscussion Paper
ORCID:
AuthorORCID
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 1991 World Scientific Publishing. Received: 10 September 1991. The authors would like to thank R.Sorkin for discussion on the model of Ponzano and Regge, and A.Shapere for bringing the paper by Turaev and Viro into their attention. They are grateful to T. Kohno and T. Takata for information on the work by Turaev.
Issue or Number:39
Record Number:CaltechAUTHORS:20161220-160613387
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161220-160613387
Official Citation:DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY HIROSI OOGURI and NAOKI SASAKURA Modern Physics Letters A 1991 06:39, 3591-3600
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73019
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:21 Dec 2016 17:48
Last Modified:03 Oct 2019 16:23

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