Hamiltonian analysis of non-chiral Plebanski theory and its generalizations

Classical and Quantum Gravity

Volumn 26, Issue 5, 2009, Pages

  Alexandrov, Sergei ^a   Krasnov, Kirill ^b  

^a UNIVERSITÉ MONTPELLIER II   (France)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68949163936     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/26/5/055005     Document Type: Article

References (12)

1. Plebański J F 1977 On the separation of Einstein substructures J. Math. Phys. 12 2511
2. Capovilla R, Jacobson T, Dell J and Mason L 1991 Selfdual two forms and gravity Class. Quantum Grav. 8 41
3. De Pietri R and Freidel L 1999 SO(4) Plebanski action and relativistic spin foam model Class. Quantum Grav. 16 2187 (arXiv:gr-qc/9804071)
4. Freidel L, Krasnov K and Puzio R 1999 BF description of higher-dimensional gravity theories Adv. Theor. Math. Phys. 3 1289 (arXiv:hep-th/9901069)
5. Buffenoir E, Henneaux M, Noui K and Roche Ph 2004 Hamiltonian analysis of Plebanski theory Class. Quantum Grav. 21 5203 (arXiv:gr-qc/0404041)
6. Alexandrov S, Buffenoir E and Roche P 2007 Plebanski theory and covariant canonical formulation Class. Quantum Grav. 24 2809 (arXiv:gr-qc/0612071)
7. Krasnov K 2006 Renormalizable non-metric quantum gravity? arXiv:hep-th/0611182
8. Smolin L 2007 The Plebanski action extended to a unification of gravity and Yang-Mills theory arXiv:0712.0977 [hep-th]
9. Peldan P 1992 Ashtekar's variables for arbitrary gauge group Phys. Rev. D 46 2279 (arXiv:hep-th/9204069)
10. Immirzi G 1997 Quantum gravity and Regge calculus Nucl. Phys. B 57 65 (arXiv:gr-qc/9701052)
11. Alexandrov S 2000 SO(4,C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter Class. Quantum Grav. 17 4255 (arXiv:gr-qc/0005085)
12. Krasnov K 2008 On deformations of Ashtekar's constraint algebra Phys. Rev. Lett. 100 081102 (arXiv: 0711.0090 [gr-qc])