LOOP SPACE HAMILTONIAN FOR $c\le 1$ OPEN STRINGS

Abstract

We construct a string field Hamiltonian describing the dynamics of open and closed strings with effective target-space dimension $c\le 1$. In order to do so, we first derive the Dyson-Schwinger equations for the underlying large $N$ vector+matrix model and formulate them as a set of constraints satisfying decoupled Virasoro and U(1) current algebras. The Hamiltonian consists of a bulk and a boundary term having different scaling dimensions. The time parameters corresponding to the two terms are interpreted from the the point of view of the fractal geometry of the world surface.

15 pages, plain tex, harvmac, no figures

References in corpus (2)

• String Field Theory of $c\le 1$ Noncritical Strings
• Field Theory of Open and Closed Strings with Discrete Target Space

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