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Loop space Hamiltonian for c <= 1 open strings

I.K. Kostov
(
- Saclay
)

Jan, 1995

15 pages

Published in:

Phys.Lett.B 349 (1995) 284-293

e-Print:

hep-th/9501135 [hep-th]

DOI:

10.1016/0370-2693(95)00292-S

Report number:

SACLAY-SPH-T-95-001,
SPHT-95-001

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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.

Note:

15 pages, plain tex, harvmac, no figures

field theory: string
string: open
string: closed
central charge: <=1
Hamiltonian formalism
loop space
Dyson-Schwinger equation
matrix model
constraint: Virasoro
current algebra: U(1)

References(10)

Figures(0)

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