Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity

Alekseev, A.; Shatashvili, Samson L.

doi:10.1016/0550-3213(89)90130-2

Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity

Nov, 1988

15 pages

Published in:

Nucl.Phys.B 323 (1989) 719-733

Published: 1989

DOI:

10.1016/0550-3213(89)90130-2

Report number:

LOMI-E-16-88

View in:

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Abstract: (Elsevier)

Geometrical interpretation of the appearance of SL(2, R ) symmetry in the 2-d quantum gravity is given in terms of the theory of the coadjoint orbits of the Virasoro group. Equivalence of the 2-d gravity and the special type of gauged SL(2, R ) WZNW theory is shown.

QUANTUM GRAVITY: TWO-DIMENSIONAL
QUANTIZATION: PATH INTEGRAL
SYMMETRY: SL(2,R)
GROUP THEORY: VIRASORO
GROUP THEORY: KAC-MOODY
Wess-Zumino model

References(3)

Figures(0)

- Mod.Phys.Lett.A 3 455

Coadjoint Orbits of the Virasoro Group

Edward Witten
(
- Princeton U.
)

- Commun.Math.Phys. 114 (1988) 1
•
DOI:
- 10.1007/BF01218287

Current Algebra and Wess-Zumino Model in Two-Dimensions

V.G. Knizhnik
(
- Moscow, ITEP
)
,
A.B. Zamolodchikov
(
- Moscow, ITEP
)

- Nucl.Phys.B 247 (1984) 83-103,
- Also in *Goddard, P. (ed.), Olive, D. (ed.): Kac-Moody and Virasoro algebras* 501-521, and in *Itzykson, C. (ed.) et al.: Conformal invariance and applications to statistical mechanics* 76-96,
•
DOI:
- 10.1016/0550-3213(84)90374-2