Construction of gauge theories on curved noncommutative spacetime

Nuclear Physics B

Volumn 698, Issue 3, 2004, Pages 473-502

  Behr, Wolfgang ^a   Sykora, Andreas ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

Author keywords

Gauge field theory; Noncommutative field theory; Noncommutative geometry; Seiberg Witten map

Indexed keywords

EID: 4644339789     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2004.07.024     Document Type: Article

References (24)

1. J. Madore Gravity on fuzzy space-time gr-qc/9709002
2. A. Connes Gravity coupled with matter and the foundation of non-commutative geometry Commun. Math. Phys. 182 1996 155 hep-th/9603053
3. F. Meyer H. Steinacker Gauge field theory on the E q ( 2 ) -covariant plane hep-th/0309053
4. N. Seiberg E. Witten String theory and noncommutative geometry JHEP 9909 1999 032 hep-th/9908142
5. J. Madore S. Schraml P. Schupp J. Wess Gauge theory on noncommutative spaces Eur. Phys. J. C 16 2000 161 hep-th/0001203
6. B. Jurco L. Moller S. Schraml P. Schupp J. Wess Construction of non-Abelian gauge theories on noncommutative spaces Eur. Phys. J. C 21 2001 383 hep-th/0104153
7. M. Dimitrijevic F. Meyer L. Moller J. Wess Gauge theories on the kappa-Minkowski spacetime hep-th/0310116
8. B. Jurco S. Schraml P. Schupp J. Wess Enveloping algebra valued gauge transformations for non-Abelian gauge groups on non-commutative spaces Eur. Phys. J. C 17 2000 521 hep-th/0006246
9. X. Calmet M. Wohlgenannt Effective field theories on non-commutative space-time Phys. Rev. D 68 2003 025016 hep-ph/0305027
10. G. Felder B. Shoikhet Deformation quantization with traces math.QA/0002057
11. J. Wess B. Zumino Covariant differential calculus on the quantum hyperplane Nucl. Phys. B (Proc. Suppl.) 18 1991 302
12. A. Lorek W. Weich J. Wess Non-commutative Euclidean and Minkowski structures Z. Phys. C 76 1997 375
13. B.L. Cerchiai R. Hinterding J. Madore J. Wess The geometry of a q-deformed phase space Eur. J. Phys. C 8 1999 533 math.QA/9807123
14. A. Dimakis J. Madore Differential calculi and linear connections J. Math. Phys. 37 1996 4647
15. J. Madore Noncommutative geometry for pedestrians gr-qc/9906059
16. B.L. Cerchiai G. Fiore J. Madore Frame formalism for the N-dimensional quantum Euclidean spaces math.QA/0007044
17. J. Madore An Introduction to Noncommutative Differential Geometry and Physical Applications 2000 Cambridge Univ. Press Cambridge
18. S. Majid H. Ruegg Bicrossproduct structure of kappa Poincare group and noncommutative geometry Phys. Lett. B 334 1994 348 hep-th/9405107
19. M. Kontsevich Deformation quantization of Poisson manifolds, I q-alg/9709040
20. D. Arnal D. Manchon M. Masmoudi Choix des signes pour la formalite de M. Kontsevich math.QA/0003003
21. L. Cornalba R. Schiappa Nonassociative star product deformations for D-brane worldvolumes in curved backgrounds Commun. Math. Phys. 225 2002 33 hep-th/0101219
22. B. Jurco P. Schupp J. Wess Noncommutative gauge theory for Poisson manifolds Nucl. Phys. B 584 2000 784 hep-th/0005005
23. B. Jurco P. Schupp J. Wess Non-Abelian noncommutative gauge theory via noncommutative extra dimensions Nucl. Phys. B 604 2001 148 hep-th/0102129
24. D. Manchon Poisson bracket, deformed bracket and gauge group actions in Kontsevich deformation quantization math.QA/0003004