Symmetries in non-perturbative 2-d quantum gravity

Journal Article · Thu Mar 07 00:00:00 EST 1991 · Modern Physics Letters A; (United States)

DOI:https://doi.org/10.1142/S0217732391000592· OSTI ID:5006180

La, H ^[1]

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1. Pennsylvania Univ., Philadelphia, PA (United States). Dept. of Physics

In this paper based on the Korteweg-de Vries (KdV) hierarchy formulation of non-perturbative 2-d quantum gravity, the authors investigate the symmetries of the system. Particularly, it is shown that the recently found Virasoro constraints are due to the non-isospectral symmetries of KdV hierarchy, which can be interpreted as SL(2, C) invariance and the independence of the moduli of the auxiliary infinite genus hyperelliptic Riemann surfaces which appear in the Krichever construction of soliton solutions.

• Sponsoring Organization: National Science Foundation (NSF); National Science Foundation, Washington, DC (United States)
• OSTI ID: 5006180
• Journal Information: Modern Physics Letters A; (United States), Vol. 6:7; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM GRAVITY
SYMMETRY
INVARIANCE PRINCIPLES
KORTEWEG-DE VRIES EQUATION
PERTURBATION THEORY
RIEMANN SPACE
SOLITONS
TWO-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
QUASI PARTICLES
SPACE
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