Emergent gravity from noncommutative gauge theory

Journal of High Energy Physics

Volumn 2007, Issue 12, 2007, Pages

  Steinacker, Harold ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Gauge symmetry; M(atrix) theories; Models of quantum gravity; Non commutative geometry

Indexed keywords

EID: 38049049688     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/12/049     Document Type: Article

References (65)

1. S. Doplicher, K. Fredenhagen and J.E. Roberts, The quantum structure of space-time at the Planck scale and quantum fields 1995 Comm. Math. Phys. 172 187 [hep-th/0303037]
2. M.R. Douglas and N.A. Nekrasov, Noncommutative field theory 2001 Rev. Mod. Phys. 73 977 [hep-th/0106048]
3. R.J. Szabo, Quantum field theory on noncommutative spaces 2003 Phys. Rep. 378 207 [hep-th/0109162]
4. N. Seiberg and E. Witten, String theory and noncommutative geometry 1999 J. High Energy Phys. JHEP09(1999)032 [hep-th/9908142]
5. D. Kabat and W. Taylor, Linearized supergravity from matrix theory 1998 Phys. Lett. B 426 297 [hep-th/9712185]
6. W. Taylor and M. Van Raamsdonk, Supergravity currents and linearized interactions for matrix theory configurations with fermionic backgrounds 1999 J. High Energy Phys. JHEP04(1999)013 [hep-th/9812239]
7. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture 1997 Phys. Rev. D 55 5112 [hep-th/9610043]
8. D. Bigatti and L. Susskind, Review of matrix theory [hep-th/9712072]
9. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large-N reduced model as superstring 1997 Nucl. Phys. B 498 467 [hep-th/9612115]
10. H. Aoki et al., Noncommutative Yang-Mills in IIB matrix model 2000 Nucl. Phys. B 565 176 [hep-th/9908141]
11. N. Ishibashi, S. Iso, H. Kawai and Y. Kitazawa, String scale in noncommutative Yang-Mills 2000 Nucl. Phys. B 583 159 [hep-th/0004038]
12. Y. Kimura and Y. Kitazawa, Supercurrent interactions in noncommutative Yang-Mills and IIB matrix model 2001 Nucl. Phys. B 598 73 [hep-th/0011038]
13. Y. Kitazawa and S. Nagaoka, Graviton propagators in supergravity and noncommutative gauge theory 2007 Phys. Rev. D 75 046007 [hep-th/0611056]
14. Y. Kitazawa and S. Nagaoka, Graviton propagators on fuzzy G/H 2006 J. High Energy Phys. JHEP02(2006)001 [hep-th/0512204]
15. H. Kawai and M. Sato, Perturbative vacua from IIB matrix model [0708.1732]
16. M. Hanada, H. Kawai and Y. Kimura, Describing curved spaces by matrices 2006 Prog. Theor. Phys. 114 1295 [hep-th/0508211]
17. Y. Okawa and H. Ooguri, How noncommutative gauge theories couple to gravity 2001 Nucl. Phys. B 599 55 [hep-th/0012218]
18. A. Dhar and Y. Kitazawa, Non-commutative gauge theory, open Wilson lines and closed strings 2001 J. High Energy Phys. JHEP08(2001)044 [hep-th/0106217]
19. H. Liu and J. Michelson, Supergravity couplings of noncommutative D-branes 2001 Nucl. Phys. B 615 169 [hep-th/0101016]
20. P. Aschieri, M. Dimitrijevic, F. Meyer and J. Wess, Noncommutative geometry and gravity 2006 Class. Quantum Grav. 23 1883 [hep-th/0510059]
21. P. Aschieri et al., A gravity theory on noncommutative spaces 2005 Class. Quantum Grav. 22 3511 [hep-th/0504183]
22. V.P. Nair, The Chern-Simons one-form and gravity on a fuzzy space 2006 Nucl. Phys. B 750 321 [hep-th/0605008]
23. X. Calmet and A. Kobakhidze, Noncommutative general relativity 2005 Phys. Rev. D 72 045010 [hep-th/0506157]
24. A. Kobakhidze, Theta-twisted gravity [hep-th/0603132]
25. J. Madore, An introduction to noncommutative differential geometry and physical applications 2000 Lond. Math. Soc. Lect. Note Ser. 257 1
26. J. Madore and J. Mourad, Quantum space-time and classical gravity 1998 J. Math. Phys. 39 423 [gr-qc/9607060]
27. M.A. Cardella and D. Zanon, Noncommutative deformation of four dimensional Einstein gravity 2003 Class. Quantum Grav. 20 L95 [hep-th/0212071]
28. E. Langmann and R.J. Szabo, Teleparallel gravity and dimensional reductions of noncommutative gauge theory 2001 Phys. Rev. D 64 104019 [hep-th/0105094]
29. R.J. Szabo, Symmetry, gravity and noncommutativity 2006 Class. Quantum Grav. 23 R199 [hep-th/0606233]
30. S. Kurkcuoglu and C. Saemann, Drinfeld twist and general relativity with fuzzy spaces 2007 Class. Quantum Grav. 24 291 [hep-th/0606197]
31. P. Mukherjee and A. Saha, Comment on the first order noncommutative correction to gravity 2006 Phys. Rev. D 74 027702 [hep-th/0605287]
32. R. Banerjee, P. Mukherjee and S. Samanta, Lie algebraic noncommutative gravity 2007 Phys. Rev. D 75 125020 [hep-th/0703128]
33. 4 2005 J. High Energy Phys. JHEP07(2005)040 [hep-th/0503041]
34. 2 2005 Nucl. Phys. B 707 145 [hep-th/0407089]
35. Y. Kitazawa, Matrix models in homogeneous spaces 2002 Nucl. Phys. B 642 210 [hep-th/0207115]
36. S. Minwalla, M. Van Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics 2000 J. High Energy Phys. JHEP02(2000)020 [hep-th/9912072]
37. 4 [hep-th/9912167]
38. A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the non-commutative gauge theories 2000 J. High Energy Phys. JHEP12(2000)002 [hep-th/0002075]
39. V.O. Rivelles, Noncommutative field theories and gravity 2003 Phys. Lett. B 558 191 [hep-th/0212262]
40. H.S. Yang, Exact Seiberg-Witten map and induced gravity from noncommutativity 2006 Mod. Phys. Lett. A 21 2637 [hep-th/0402002]
41. H.S. Yang, On the correspondence between noncommuative field theory and gravity 2007 Mod. Phys. Lett. A 22 1119 [hep-th/0612231]
42. H.S. Yang, Noncommutative electromagnetism as a large-N gauge theory [0704.0929]
43. R. Banerjee and H.S. Yang, Exact Seiberg-Witten map, induced gravity and topological invariants in noncommutative field theories 2005 Nucl. Phys. B 708 434 [hep-th/0404064]
44. A.D. Sakharov, Vacuum quantum fluctuations in curved space and the theory of gravitation 1968 Sov. Phys. Dokl. 12 1040 [1967 Dokl. Akad. Nauk Ser. Fiz. 177 70] [1991 Sov. Phys. Usp. 34 394]
45. J. Madore, S. Schraml, P. Schupp and J. Wess, Gauge theory on noncommutative spaces 2000 Eur. Phys. J. C 16 161 [hep-th/0001203]
46. P. Aschieri, T. Grammatikopoulos, H. Steinacker and G. Zoupanos, Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking 2006 J. High Energy Phys. JHEP09(2006)026 [hep-th/0606021]
47. H. Steinacker and G. Zoupanos, Fermions on spontaneously generated spherical extra dimensions 2007 J. High Energy Phys. JHEP09(2007)017 [0706.0398]
48. M. Kontsevich, Deformation quantization of Poisson manifolds, I 2003 Lett. Math. Phys. 66 157 [q-alg/9709040]
49. B. Jurco and P. Schupp, Noncommutative Yang-Mills from equivalence of star products 2000 Eur. Phys. J. C 14 367 [hep-th/0001032]
50. B. Jurco, S. Schraml, P. Schupp and J. Wess, Enveloping algebra valued gauge transformations for non- abelian gauge groups on non-commutative spaces 2000 Eur. Phys. J. C 17 521 [hep-th/0006246]
51. E. Alvarez, Can one tell Einstein's unimodular theory from Einstein's general relativity? 2005 J. High Energy Phys. JHEP03(2005)002 [hep-th/0501146]
52. M. Henneaux and C. Teitelboim, The cosmological constant and general covariance 1989 Phys. Lett. B 222 195
53. A. Einstein, Do gravitational fields play an essential part in the structure of the elementary particles of matter? 1919 Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) 1919 433
54. M. Visser, Sakharov's induced gravity: a modern perspective 2002 Mod. Phys. Lett. A 17 977 [gr-qc/0204062]
55. P.B. Gilkey, Invariance theory, the heat equation and the Atiyah-Singer index theorem Wilmington, Publish or Perish (1984)
56. A.H. Chamseddine and A. Connes, The spectral action principle 1997 Comm. Math. Phys. 186 731 [hep-th/9606001]
57. V. Gayral and B. Iochum, The spectral action for Moyal planes 2005 J. Math. Phys. 46 043503 [hep-th/0402147]
58. H. Grosse and M. Wohlgenannt, Induced gauge theory on a noncommutative space 2007 Eur. Phys. J. C 52 435 [hep-th/0703169]
59. 4 with oscillator term 2007 Europhys. Lett. 79 61002 [0705.4205]
60. H. Steinacker, Quantized gauge theory on the fuzzy sphere as random matrix model 2004 Nucl. Phys. B 679 66 [hep-th/0307075]
61. D. Dou and B. Ydri, Topology change from quantum instability of gauge theory on fuzzy CP(2) 2007 Nucl. Phys. B 771 167 [hep-th/0701160]
62. T. Azuma, S. Bal, K. Nagao and J. Nishimura, Dynamical aspects of the fuzzy CP(2) in the large-N reduced model with a cubic term 2006 J. High Energy Phys. JHEP05(2006)061 [hep-th/0405277]
63. T. Azuma, S. Bal and J. Nishimura, Dynamical generation of gauge groups in the massive Yang-Mills-Chern-Simons matrix model 2005 Phys. Rev. D 72 066005 [hep-th/0504217]
64. F. Lizzi, R.J. Szabo and A. Zampini, Geometry of the gauge algebra in noncommutative Yang-Mills theory 2001 J. High Energy Phys. JHEP08(2001)032 [hep-th/0107115]
65. T. Azuma, S. Iso, H. Kawai and Y. Ohwashi, Supermatrix models 2001 Nucl. Phys. B 610 251 [hep-th/0102168]