A modular invariant quantum theory from the connection formulation of (2 + 1)-gravity on the torus

Classical and Quantum Gravity

Volumn 13, Issue 2, 1996, Pages 221-224

  Peldán, Peter ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21844486047     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/13/2/010     Document Type: Article

References (19)

1. Peldán P 1995 Large diffeomorphisms in (2 + 1)-quantum gravity on the torus Penn State Preprint 95/1-1, gr-qc/9501020
2. Carlip S 1992 (2 + 1)-dimensional Chern-Simons gravity as a Dirac square root Phys. Rev. D 45 3584
3. Carlip S 1990 Observables, gauge invariance and time in (2 + 1)-dimensional quantum gravity Phys. Rev. D 42 2647
4. Ashtekar A, Husain V, Rovelli C, Samuel J and Smolin L 1989 (2 + 1) quantum gravity as a toy model for the (3 + 1) theory Class. Quantum Grav. 6 L185
5. Ashtekar A and Loll R 1994 New loop representations for (2 + 1) gravity Class. Quantum Grav. 11 2417
6. 2 in witten connection formulation Class. Quantum Grav. 11 311
7. Woodhouse N 1980 Geometric Quantization (Oxford: Clarendon)
8. Ashtekar A and invited contributors 1988 New Perspectives in Canonical Gravity Lecture Notes (Naples: Bibliopolis)
9. Hosoya A and Nakao K 1990 (2 + 1)-dimensional pure gravity for an arbitrary closed initial surface Class. Quantum Grav. 7 163
10. Fujiwara Y and Soda J 1990 Teichmüller motion of (2 + 1)-dimensional gravity with the cosmological constant Prog. Theor. Phys. 83 33
11. Moncrief V 1990 How solvable is (2 + 1)-dimensional Einstein gravity J. Math. Phys. 31 2978;
12. 1989 Reduction of the Einstein equations in (2 + 1) dimensions to a Hamiltonian system over Teichmüller space J. Math. Phys. 30 2907
13. Hosoya A and Nakao K 1990 (2 + 1)-dimensional quantum gravity Prog. Theor. Phys. 84 739
14. Carlip S 1993 Six ways to quantize (2 + 1)-dimensional gravity Preprint gr-qc/9305020
15. Ashtekar A and Tate R S 1994 An algebraic extension of Dirac quantization: examples J. Math. Phys. 35 6434
16. Miyake T 1989 Modular Forms (Berlin: Springer)
17. Maass H 1964 Lectures on Modular Functions of One Complex Variable Tata Institute of Fundamental Research, Bombay
18. Terras A 1985 Harmonic Analysis on Symmetric Spaces and Applications I (New York: Springer)
19. Marolf D M 1993 Loop representations for (2 + 1) gravity on a torus Class. Quantum Grav. 10 2625