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Construction of topological W_3 gravity

Li, Keke (1990) Construction of topological W_3 gravity. Physics Letters B, 251 (1). pp. 54-60. ISSN 0370-2693. doi:10.1016/0370-2693(90)90231-T.

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Topological W_3 gravity is constructed in detail from its definition as topological Yang-Mills theory in two dimensions with the gauge group being a contraction of SL(3, R). The gauge transformation of the Yang-Mills gauge field can be rewritten to resemble that of the spin-2 and -3 gauge fields describing W_3 gravity. This fact provides a local parametrization of the moduli space of the flat connections in terms of spin-2 and -3 Beltrami differentials on Riemann surfaces. The variations of the action with respect to the moduli give the stress tensor and the spin-3 W current, and the BRST charge can be expressed in terms of these currents in a way similar to that of W_3 gravity. The physical content of the model is briefly discussed.

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Additional Information:© 1990 Elsevier Science. Received 2 August 1990. This work supported in part by the US Department of Energy under Contract No. DE-AC03-81-ER40050 and by the Weingart Foundation.
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC03-81-ER40050
Weingart FoundationUNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20170830-080040762
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Official Citation:Keke Li, Construction of topological W gravity, Physics Letters B, Volume 251, Issue 1, 1990, Pages 54-60, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80942
Deposited By: Ruth Sustaita
Deposited On:30 Aug 2017 16:57
Last Modified:15 Nov 2021 19:39

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