Invariants of (2+1)-quantum gravity

Nelson, J.E.; Regge, T.

doi:10.1007/BF02096728

Invariants of (2+1)-quantum gravity

J.E. Nelson
(
- Turin U.
)
,
T. Regge
(
- Turin U.
)

Aug, 1992

10 pages

Published in:

Commun.Math.Phys. 155 (1993) 561-568

e-Print:

hep-th/9209031 [hep-th]

DOI:

10.1007/BF02096728

Report number:

DFTT-46-92

View in:

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Abstract:

In [1,2] we established and discussed the algebra of observables for 2+1 gravity at both the classical and quantum level. Here our treatment broadens and extends previous results to any genus

g

with a systematic discussion of the centre of the algebra. The reduction of the number of independent observables to

6g-6 (g > 1)

is treated in detail with a precise classification for

g = 1

and

g = 2

.

quantum gravity
dimension: 3
algebra
Riemann surface

References(3)

Figures(0)

(2+1) gravity for genus > 1

J.E. Nelson
(
- Turin U.
)
,
T. Regge
(
- Turin U.
)

- Commun.Math.Phys. 141 (1991) 211-223
•
DOI:
- 10.1007/BF02100010

(2+1) quantum gravity

J.E. Nelson
(
- Turin U.
)
,
T. Regge
(
- Turin U.
)

- Phys.Lett.B 272 (1991) 213-216
•
DOI:
- 10.1016/0370-2693(91)91822-D

Homotopy groups and (2+1)-dimensional quantum de Sitter gravity

J.E. Nelson
,
T. Regge
(
- Turin U.
)
,
F. Zertuche
(
- Mexico U. and
- SISSA, Trieste
)

- Nucl.Phys.B 339 (1990) 516-532
•
DOI:
- 10.1016/0550-3213(90)90359-L