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Curling up two spatial dimensions with SU(1,1)/U(1)

Gell-Mann, Murray and Zwiebach, Barton (1984) Curling up two spatial dimensions with SU(1,1)/U(1). Physics Letters B, 147 (1-3). pp. 111-114. ISSN 0370-2693. doi:10.1016/0370-2693(84)90603-8.

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It is seen that a nonlinear sigma model based on the noncompact coset space SU(1,1)/U(1) can curl up two spatial dimensions into a topologically noncompact surface of finite area with a compact U(1) isometry group. This mechanism can be used for several higher-dimensional supergravity theories. In particular, chiral N = 2, D = 10 supergravity would reduce to an N = 1, D = 8 theory in which the masslessness of fermions does not depend only on supersymmetry. Further reduction to four dimensions is possible.

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Additional Information:© 1984 Elsevier. Received 19 July 1984. Work supported in part by the US Department of Energy under contract No. DE-AC03-81-ER40050 and by the Fleischmann Foundation. Work supported by the National Science Foundation under Research Grant No. PHY-82-03424.
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Department of Energy (DOE)DE-AC03-81-ER40050
Fleischmann FoundationUNSPECIFIED
Issue or Number:1-3
Record Number:CaltechAUTHORS:20150923-074725330
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Official Citation:Murray Gell-Mann, Barton Zwiebach, Curling up two spatial dimensions with SU(1,1)/U(1), Physics Letters B, Volume 147, Issues 1–3, 1 November 1984, Pages 111-114, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:60431
Deposited By: Ruth Sustaita
Deposited On:23 Sep 2015 23:48
Last Modified:10 Nov 2021 22:34

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