Non-commutative geometry and matrix models

C.J.S. Clarke, “On the Global Isometric Embedding of Pseudo-Riemannian Manifolds”, Proc. Royal Soc. London, A 314

1961

Earlier work this paper cites.

J. Hoppe, ”Quantum theory of a massless relativistic surface and a two-dimensional bound state problem“, PH D thesis, MIT 1982; J. Hoppe,“Membranes and matrix models,” [hep-th/0206192]

1982

Earlier work this paper cites.

A. M. Perelomov, “Generalized coherent states and their applications,” Berlin, Springer (1986)

1986

Earlier work this paper cites.

D. Amati, M. Ciafaloni, G. Veneziano, “Can Space-Time Be Probed Below the String Size?,” Phys. Lett. B216

1989

Earlier work this paper cites.

J. Madore, “The Fuzzy sphere,” Class. Quant. Grav. 9

1992

Earlier work this paper cites.

H. Grosse, P. Presnajder, “The Construction of noncommutative manifolds using coherent states,” Lett. Math. Phys. 28

1993

Earlier work this paper cites.

A. Connes, Publ. Math. IHES

1994

Earlier work this paper cites.

S. Doplicher, K. Fredenhagen, J. E. Roberts, “The Quantum structure of space-time at the Planck scale and quantum fields,” Commun. Math. Phys. 172

1995

Earlier work this paper cites.

P. B. Gilkey, “Invariance theory, the heat equation and the Atiyah-Singer index theorem,”. CRC Press, 1995

1995

Earlier work this paper cites.

D. Borthwick, A. Uribe, ”Almost complex structures and geometric quantization“. Math. Res. Letters 3

1996

Earlier work this paper cites.

N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, “A large-N reduced model as superstring,” Nucl. Phys. B 498

1997

Earlier work this paper cites.

T. Banks, W. Fischler, S. H. Shenker and L. Susskind, “M theory as a matrix model: A conjecture,” Phys. Rev. D 55

1997

Cited alongside, same era.

A. Connes, M. R. Douglas, A. S. Schwarz, “Noncommutative geometry and matrix theory: Compactification on tori,” JHEP 9802

1998

Cited alongside, same era.

P. Austing, J. F. Wheater, “Convergent Yang-Mills matrix theories,” JHEP 0104

1998

Cited alongside, same era.

M. Chaichian, A. Demichev and P. Presnajder, “Quantum field theory on noncommutative space-times and the persistence of ultraviolet divergences,” Nucl. Phys. B 567

2000

Cited alongside, same era.

S. Minwalla, M. Van Raamsdonk, N. Seiberg, “Noncommutative perturbative dynamics,” JHEP 0002

2000

Cited alongside, same era.

H. Steinacker, “Emergent Gravity from Noncommutative Gauge Theory,” JHEP 0712

Original

2007

Later among the works it cites.

M. Bordemann, E. Meinrenken and M. Schlichenmaier, “Toeplitz quantization of Kahler manifolds and gl(N), N → \to infinity limits,” Commun. Math. Phys. 165

2007

Later among the works it cites.

H. Grosse, H. Steinacker, M. Wohlgenannt, “Emergent Gravity, Matrix Models and UV/IR Mixing,” JHEP 0804

Original

2008

Later among the works it cites.

H. Steinacker, “Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models,” JHEP 0902

Original

2009

Later among the works it cites.

H. Steinacker, “On the Newtonian limit of emergent NC gravity and long-distance corrections,” JHEP 0912