Loop equations for + and - loops in c = 1/2 noncritical string theory

Nakayama, Ryuichi; Suzuki, Toshiya

doi:10.1103/PhysRevD.54.3985

Loop equations for + and - loops in c = 1/2 noncritical string theory

Ryuichi Nakayama
(
- Hokkaido U.
)
,
Toshiya Suzuki
(
- Hokkaido U.
)

Mar, 1996

21 pages

Published in:

Phys.Rev.D 54 (1996) 3985-3994

e-Print:

hep-th/9604073 [hep-th]

DOI:

10.1103/PhysRevD.54.3985

Report number:

EPHOU-95-006

View in:

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Abstract:

New loop equations for all genera in

c = \frac{1}{2}

non-critical string theory are constructed. Our loop equations include two types of loops, loops with all Ising spins up (+ loops) and those with all spins down (

-

loops). The loop equations generate an algebra which is a certain extension of

W_3

algebra and are equivalent to the

W_3

constraints derived before in the matrix-model formulation of 2d gravity. Application of these loop equations to construction of Hamiltonian for

c = \frac{1}{2}

string field theory is considered.

11.25.Sq
11.25.Pm
string model
central charge: 1/2
algebra: loop space
algebra: W(3)
constraint
field theory: string

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