Quick Search:
Prog. Theor. Phys. Supplement No.110 (1992) pp. 151-158
ISO(2, 1) Gauge Fields and (2 + 1)-Dimensional Space-Time
Kaoru Amano and
Saburo Higuchi
Department of Physics, Tokyo Institute of Technology, Oh-Okayama, Tokyo 152
Abstract:
We discuss the relationship between ISO(2, 1) flat connections and space-time geometries in (2 + 1)-dimensional pure gravity. We can construct the latter from the former when appropriate local gauges are chosen. Gauge transformations act on the resulting geometry non-trivially.
URL :
http://ptp.ipap.jp/link?PTPS/110/151/
DOI : 10.1143/PTPS.110.151
References:
- K. Amano and S. Higuchi, Tokyo Institute of Technology Preprint TIT/HEP178 (1991), to be published in Nucl. Phys. B.
-
E. Witten, Nucl. Phys. B 311 (1988/89), 46[CrossRef].
-
E. Witten, Nucl. Phys. B 323 (1989), 113[CrossRef].
-
S. Carlip, Class. Quantum Grav. 8 (1991), 5[CrossRef].
- S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Interscience, New York, 1969), vol. 1, ch. 1, prop. 5.6 and th. 5.7.
-
R. Dijkgraaf and E. Witten, Commun. Math. Phys. 129 (1990), 393[CrossRef].
- W. M. Goldman, Geometric Structure on Manifolds and Varieties of Representations, in Geometry of Group Representation, Contemporary Mathematics vol. 74, ed. W. M. Goldman and A. R. Magid (American Mathematical Society, Providence, Rhode Island, 1988).
- G. Mess, Institut des Hautes Etudes Scientifiques Preprint IHES/M/90/28 (1990).