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Moduli spaces of curves with homology chains and c=1 matrix models


Cattaneo, A S; Gamba, A; Martellini, M (1994). Moduli spaces of curves with homology chains and c=1 matrix models. Physics Letters B, 327(3-4):221-225.

Abstract

We show that introducing a periodic time coordinate in the models of Penner-Kontsevich type generalizes the corresponding constructions to the case of the moduli space Sg,nk of curves C with homology chains γ ε H1 (C, Zk). We make a minimal extension of the resulting models by adding a kinetic term, and we get a new matrix model which realizes a simple dynamics of Zk-chains on surfaces. This gives a representation of c = 1 matter coupled to two-dimensional quantum gravity with the target space being a circle of finite radius, as studied by Gross and Klebanov.

We show that introducing a periodic time coordinate in the models of Penner-Kontsevich type generalizes the corresponding constructions to the case of the moduli space Sg,nk of curves C with homology chains γ ε H1 (C, Zk). We make a minimal extension of the resulting models by adding a kinetic term, and we get a new matrix model which realizes a simple dynamics of Zk-chains on surfaces. This gives a representation of c = 1 matter coupled to two-dimensional quantum gravity with the target space being a circle of finite radius, as studied by Gross and Klebanov.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1994
Deposited On:23 Mar 2010 08:40
Last Modified:05 Apr 2016 13:28
Publisher:Elsevier
ISSN:0370-2693
Publisher DOI:https://doi.org/10.1016/0370-2693(94)90721-8
Permanent URL: https://doi.org/10.5167/uzh-22627

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