Noncommutative supergravity in D = 3 and D = 4

Journal of High Energy Physics

Volumn 2009, Issue 6, 2009, Pages

  Aschieri, Paolo ^a,b   Castellani, Leonardo ^b  

^a MUSEO STORICO DELLA FISICA E CENTRO STUDI E RICERCHE ENRICO FERMI   (Italy)

^b INFN SEZIONE DI ROMA   (Italy)

Author keywords

Non commutative geometry; Supergravity models

Indexed keywords

EID: 70350068328     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/06/087     Document Type: Article

References (17)

1. q(N), quantum Poincaré algebra and q gravity, Commun. Math. Phys. 171 383 [hep-th/9312179] [SPIRES].
2. L. Castellani, 1994 The Lagrangian of q Poincaré gravity, Phys. Lett. B 327 22 [hep-th/9402033] [SPIRES].
3. A.H. Chamseddine, 2004 SL(2,ℂ) gravity with complex vierbein and its noncommutative extension, Phys. Rev. D 69 024015 [hep-th/0309166] [SPIRES].
4. P. Aschieri et al., 2005 A gravity theory on noncommutative spaces, Class. Quant. Grav. 22 3511 [hep-th/0504183] [SPIRES].
5. P. Aschieri, M. Dimitrijević, F. Meyer and J. Wess, 2006 Noncommutative geometry and gravity, Class. Quant. Grav. 23 1883 [hep-th/0510059] [SPIRES].
6. S. Estrada-Jimenez, H. Garcia-Compean, O. Obregon and C. Ramirez, 2008 Twisted covariant noncommutative self-dual gravity, Phys. Rev. D 78 124008 [arXiv:0808.0211] [SPIRES].
7. S. Cacciatori et al., 2002 Noncommutative gravity in two dimensions, Class. Quant. Grav. 19 4029 [hep-th/0203038] [SPIRES].
8. M. Bãados, O. Chandía, N.E. Grandi, F.A. Schaposnik and G.A. Silva, 2001 Three-dimensional noncommutative gravity, Phys. Rev. D 64 084012 [hep-th/0104264] [SPIRES].
9. S. Cacciatori, D. Klemm, L. Martucci and D. Zanon, 2002 Noncommutative Einstein-AdS gravity in three dimensions, Phys. Lett. B 536 101 [hep-th/0201103] [SPIRES].
10. P. Aschieri and L. Castellani, 2009 Noncommutative D=4 gravity coupled to fermions, JHEP06(2009)086 [arXiv:0902.3817] [SPIRES].
11. S. Cacciatori and L. Martucci, 2002 Noncommutative AdS supergravity in three dimensions, Phys. Lett. B 542 268 [hep-th/0204152] [SPIRES].
12. N. Seiberg and E. Witten, 1999 String theory and noncommutative geometry JHEP09(1999)032 [hep-th/9908142] [SPIRES].
13. B. Juro, S. Schraml, P. Schupp and J. Wess, 2000 Enveloping algebra valued gauge transformations for non- Abelian gauge groups on non-commutative spaces, Eur. Phys. J. C 17 521 [hep-th/0006246] [SPIRES].
14. E.W. Mielke and A. Macias, 1999 Chiral supergravity and anomalies, Annalen Phys. 8 301 [gr-qc/9902077] [SPIRES].
15. 4 theory, Lett. Math. Phys. 85 39 [arXiv:0803.4325] [SPIRES].
16. P. Aschieri, M. Dimitrijević, P. Kulish, F. Lizzi and J. Wess, 2009 Noncommutative spacetimes Lect. Notes Phys. 774, Springer] [SPIRES].
17. P. Aschieri, 2006 Noncommutative symmetries and gravity, J. Phys. Conf. Ser. 53 799 [hep-th/0608172] [SPIRES].