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

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

1995-01-30

arxiv.org/abs/hep-th/9501135v1

Phys.Lett. B349 (1995) 284-293

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, plain tex, harvmac, no figures

Scientific paper

10.1016/0370-2693(95)00292-S

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.

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