String field theory in minimal model backgrounds and nonperturbative two-dimensional gravity

Imbimbo, Camillo ; Mukhi, Sunil (1991) String field theory in minimal model backgrounds and nonperturbative two-dimensional gravity Nuclear Physics B, 364 (3). pp. 662-680. ISSN 0550-3213

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0550-3213(91)90280-B

Abstract

The classical phase space of free closed-string field theory in the background of (p, q) minimal models is studied. It is shown that in the limit q → ∞ for fixed p, this becomes the phase space of p - 1 massless chiral bosons on a two-dimensional target space, twisted by Zp. It is argued that in the interacting theory, the bosons remain free and massless in the limit, but the non-linear gauge symmetries of string field theory require the imposition of Wp-algebra conditions on the Hilbert space, allowing a single physical state. The wave function for this state is the KdV τ-function associated to non-perturbative two-dimensional gravity in the matrix-model approach.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:75036
Deposited On:20 Dec 2011 11:53
Last Modified:20 Dec 2011 11:53

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