We show that Calabi-Yau manifolds are emergent from the commutative limit of six-dimensional noncommutative Hermitian U(1) instantons.
Reading the bibliography…
V. I. Arnold, Mathematical methods of classical mechanics
1978
Earlier work this paper cites.
T. Eguchi, P. B. Gilkey and A. J. Hanson, Gravitation, gauge theories and differential geometry
1980
Earlier work this paper cites.
M. B. Green, J. H. Schwarz and E. Witten, Superstring theory
1987
Earlier work this paper cites.
A. L. Besse, Einstein manifolds
1987
Earlier work this paper cites.
A. Ashtekar, T. Jabobson and L. Smolin, A new characterization of half-flat solutions to Einstein¡¯s equation
1995
Earlier work this paper cites.
N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large-N reduced model as superstring
1997
Earlier work this paper cites.
J. M. Maldacena, The large N limit of superconformal field theories and supergravity
1998
Earlier work this paper cites.
N. Seiberg and E. Witten, String theory and noncommutative geometry
1999
Earlier work this paper cites.
M. Mariño, R. Manasian, G. Moore and A. Strominger, Nonlinear instantons from supersymmetric p p -branes
2000
Cited alongside, same era.
B. Jurčo and P. Schupp, Noncommutative Yang-Mills from equivalence of star products
2001
Cited alongside, same era.
B. Jurčo, P. Schupp and J. Wess, Noncommutative line bundle and Morita equivalence
2002
Cited alongside, same era.
M. R. Douglas and N. A. Nekrasov, Noncommutative field theory
2003
Cited alongside, same era.
H. S. Yang, Emergent gravity from noncommutative spacetime
2009
Cited alongside, same era.
H. S. Yang, Emergent spacetime and the origin of gravity
2009
Cited alongside, same era.
H. S. Yang, Noncommutative electromagnetism as a large N gauge theory
2009
Cited alongside, same era.
H. S. Yang, Mirror symmetry in emergent gravity
Cited in the paper.
H. S. Yang, Gravitational instantons from gauge theory
2009
Later among the works it cites.
J. Lee and H. S. Yang, Quantum gravity from noncommutative spacetime
2010
Later among the works it cites.
H. S. Yang, Towards a backround independent quantum gravity
2012
Later among the works it cites.
H. S. Yang, Highly effective action from large N gauge fields
2014
Closest in time.
H. S. Yang, Quantization of emergent gravity
2015
Closest in time.
A. Stern, Remarks on an exact Seiberg-Witten map
2015
Closest in time.
H. S. Yang and S. Yun, Calabi-Yau manifolds, Hermitian Yang-Mills instantons and mirror symmetry
2095
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…