Curvature and gravity actions for matrix models

Classical and Quantum Gravity

Volumn 27, Issue 16, 2010, Pages

  Blaschke, Daniel N ^a   Steinacker, Harold ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954464605     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/27/16/165010     Document Type: Article

References (22)

1. Doplicher S, Fredenhagen K and Roberts J E 1995 The quantum structure of space-time at the Planck scale and quantum fields Commun. Math. Phys. 172 187-220 (arXiv:hep-th/0303037)
2. Douglas M R and Nekrasov N A 2001 Noncommutative field theory Rev. Mod. Phys. 73 977-1029 (arXiv:hep-th/0106048)
3. Szabo R J 2003 Quantum field theory on noncommutative spaces Phys. Rep. 378 207-99 (arXiv:hep-th/0109162)
4. Rivasseau V 2007 Non-commutative renormalization Quantum Spaces-Poincaré Seminar 2007 ed B Duplantier and V Rivasseau (Basle: Birkhäuser) (arXiv:0705.0705)
5. Steinacker H 2007 Emergent gravity from noncommutative gauge theory J. High Energy Phys. JHEP12(2007)049 (arXiv:0708.2426)
6. Grosse H, Steinacker H and Wohlgenannt M 2008 Emergent gravity, matrix models and UV/IR mixing J. High Energy Phys. JHEP04(2008)023 (arXiv:0802.0973)
7. Klammer D and Steinacker H 2008 Fermions and emergent noncommutative gravity J. High Energy Phys. JHEP08(2008)074 (arXiv:0805.1157)
8. Steinacker H 2009 Emergent gravity and noncommutative branes from Yang-Mills matrix models Nucl. Phys. B 810 1-39 (arXiv:0806.2032)
9. Steinacker H 2004 Quantized gauge theory on the fuzzy sphere as random matrix model Nucl. Phys. B 679 66-98 (arXiv:hep-th/0307075)
10. Steinacker H 2009 Covariant field equations, gauge fields and conservation laws from Yang-Mills matrix models J. High Energy Phys. JHEP02(2009)044 (arXiv:0812.3761)
11. Paston S A and Franke V A 2007 Canonical formulation of the embedded theory of gravity equivalent to Einstein's general relativity Theor. Math. Phys. 153 1581-95 (arXiv:0711.0576)
12. Klammer D and Steinacker H 2010 Fermions and noncommutative emergent gravity: II. Curved branes in extra dimensions J. High Energy Phys. JHEP02(2010)074 (arXiv:0909.5298)
13. Blaschke D N and Steinacker H 2010 Schwarzschild geometry emerging from matrix models arXiv:1005.0499
14. Carow-Watamura U and Watamura S 2000 Noncommutative geometry and gauge theory on fuzzy sphere Commun. Math. Phys. 212 395-413 (arXiv:hep-th/9801195)
15. Grosse H and Steinacker H 2005 Finite gauge theory on fuzzy CP**2 Nucl. Phys. B 707 145-98 (arXiv:hep-th/0407089)
16. Ishibashi N, Kawai H, Kitazawa Y and Tsuchiya A 1997 A large-n reduced model as superstring Nucl. Phys. B 498 467-91 (arXiv:hep-th/9612115)
17. Aschieri P, Grammatikopoulos T, Steinacker H and Zoupanos G 2006 Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking J. High Energy Phys. JHEP09(2006)026 (arXiv:hep-th/0606021)
18. Jack I and Jones D R T 2001 Ultra-violet finiteness in noncommutative supersymmetric theories New J. Phys. 3 19 (arXiv:hep-th/0109195)
19. Matusis A, Susskind L and Toumbas N 2000 The IR/UV connection in the non-commutative gauge theories J. High Energy Phys. JHEP12(2000)002 (arXiv:hep-th/0002075)
20. Minwalla S, Van Raamsdonk M and Seiberg N 2000 Noncommutative perturbative dynamics J. High Energy Phys. JHEP02(2000)020 (arXiv:hep-th/ 9912072)
21. Armoni A 2001 Comments on perturbative dynamics of non-commutative Yang-Mills theory Nucl. Phys. B 593 229-42 (arXiv:hep-th/0005208)
22. Chatzistavrakidis A, Steinacker H and Zoupanos G 2010 Orbifolds, fuzzy spheres and chiral fermions J. High Energy Phys. JHEP05(2010)100 (arXiv:1002.2606)