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A numerical algorithm is presented for explicitly computing the gauge connection on slope-stable holomorphic vector bundles on Calabi-Yau manifolds.
S. T. Yau, “On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I,” Comm. Pure Appl. Math
1978
Earlier work this paper cites.
Wiley-Interscience [John Wiley & Sons], New York, 1978
P. Griffiths and J. Harris, Principles of algebraic geometry · 1978
Earlier work this paper cites.
D. J. Gross, J. A. Harvey, E. J. Martinec, and R. Rohm, “The Heterotic String,” Phys. Rev. Lett
1985
Earlier work this paper cites.
P. Candelas, G. T. Horowitz, A. Strominger, and E. Witten, “Vacuum Configurations for Superstrings,” Nucl. Phys
1985
Earlier work this paper cites.
S. Donaldson, “Anti Self-Dual Yang-Mills Connections over Complex Algebraic Surfaces and Stable Vector Bundles,,” Proc. London Math. Soc
1985
Earlier work this paper cites.
K. Uhlenbeck and S.-T. Yau., “On the existence of Hermitian Yang-Mills connections in stable bundles,” Comm. Pure App. Math
1986
Earlier work this paper cites.
M. B. Green, J. H. Schwarz, and E. Witten, “SUPERSTRING THEORY. VOL. 1: INTRODUCTION,”. Cambridge, Uk: Univ. Pr. (1987) 469 P. (Cambridge Monographs On Mathematical Physics)
1987
Earlier work this paper cites.
P. Candelas and S. Kalara, “Yukawa couplings for a three generation superstring compactification,” Nucl. Phys
1988
Earlier work this paper cites.
Birkhauser Verlag, 1988
H. S. C. Okonek, M. Schneider, Vector Bundles on Complex Projective Spaces · 1988
Earlier work this paper cites.
G. Tian, “On a set of polarized Kähler metrics on algebraic manifolds,” J. Differential Geom
1990
Earlier work this paper cites.
P. Candelas, X. C. De La Ossa, P. S. Green, and L. Parkes, “A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory,” Nucl. Phys
1991
Earlier work this paper cites.
B. R. Greene, D. R. Morrison, and M. R. Plesser, “Mirror manifolds in higher dimension,” Commun. Math. Phys
1995
Earlier work this paper cites.
P. Horava and E. Witten, “Heterotic and type I string dynamics from eleven dimensions,” Nucl. Phys
1996
Earlier work this paper cites.
P. Horava and E. Witten, “Eleven-Dimensional Supergravity on a Manifold with Boundary,” Nucl. Phys
1996
Earlier work this paper cites.
E. Witten, “Strong Coupling Expansion Of Calabi-Yau Compactification,” Nucl. Phys
1996
Earlier work this paper cites.
R. Friedman, J. Morgan, and E. Witten, “Vector bundles and F theory,” Commun. Math. Phys
1997
Earlier work this paper cites.
Feb., 1997
R. Y. Donagi, “Principal bundles on elliptic fibrations,” in eprint arXiv:alg-geom/9702002 · 1997
Earlier work this paper cites.
D. Huybrechts and M. Lehn, “The geometry of the Moduli Spaces of Sheaves,” Aspects of Mathematics
1997
Earlier work this paper cites.
A. Lukas, B. A. Ovrut, and D. Waldram, “On the four-dimensional effective action of strongly coupled heterotic string theory,” Nucl. Phys
1998
Earlier work this paper cites.
D. Kaledin and M. Verbitsky, “Non-Hermitian Yang-Mills connections,” SELECTA MATH
1998
Cited alongside, same era.
A. Lukas, B. A. Ovrut, and D. Waldram, “Non-standard embedding and five-branes in heterotic M- theory,” Phys. Rev
1999
Cited alongside, same era.
R. Donagi, A. Lukas, B. A. Ovrut, and D. Waldram, “Holomorphic vector bundles and non-perturbative vacua in M- theory,” JHEP
1999
Cited alongside, same era.
A. Lukas, B. A. Ovrut, K. S. Stelle, and D. Waldram, “The universe as a domain wall,” Phys. Rev
1999
Cited alongside, same era.
A. Lukas, B. A. Ovrut, K. S. Stelle, and D. Waldram, “Heterotic M-theory in five dimensions,” Nucl. Phys
1999
Cited alongside, same era.
E. R. Sharpe, “Kaehler cone substructure,” Adv. Theor. Math. Phys
X. Wang, “Canonical metrics on stable vector bundles,” Comm. Anal. Geom
2005
Later among the works it cites.
M. Headrick and T. Wiseman, “Numerical Ricci-flat metrics on K 3 K3 ,” Classical Quantum Gravity
2005
Later among the works it cites.
M. Headrick and T. Wiseman, “Numerical Ricci-flat metrics on K3,” Class. Quant. Grav
2005
Later among the works it cites.
V. Braun, Y.-H. He, B. A. Ovrut, and T. Pantev, “Vector bundle extensions, sheaf cohomology, and the heterotic standard model,” Adv. Theor. Math. Phys
2006
Later among the works it cites.
V. Braun, Y.-H. He, B. A. Ovrut, and T. Pantev, “The exact MSSM spectrum from string theory,” JHEP
2006
Later among the works it cites.
V. Bouchard and R. Donagi, “An SU(5) heterotic standard model,” Phys. Lett
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1999
Cited alongside, same era.
B. A. Ovrut, T. Pantev, and J. Park, “Small instanton transitions in heterotic M-theory,” JHEP
2000
Cited alongside, same era.
R. Y. Donagi, J. Khoury, B. A. Ovrut, P. J. Steinhardt, and N. Turok, “Visible branes with negative tension in heterotic M- theory,” JHEP
2001
Cited alongside, same era.
S. K. Donaldson, “Scalar curvature and projective embeddings. I,” J. Differential Geom
2001
Cited alongside, same era.
R. Donagi, B. A. Ovrut, T. Pantev, and D. Waldram, “Standard-model bundles,” Adv. Theor. Math. Phys
2002
Cited alongside, same era.
R. Donagi, B. A. Ovrut, T. Pantev, and D. Waldram, “Standard models from heterotic M-theory,” Adv. Theor. Math. Phys
2002
Cited alongside, same era.
E. Buchbinder, R. Donagi, and B. A. Ovrut, “Vector bundle moduli and small instanton transitions,” JHEP
2002
Cited alongside, same era.
2006
Later among the works it cites.
V. Braun, Y.-H. He, and B. A. Ovrut, “Yukawa couplings in heterotic standard models,” JHEP
2006
Later among the works it cites.
Y. Sano, “Numerical algorithm for finding balanced metrics,” Osaka J. Math
2006
Later among the works it cites.
J. Gray, Y.-H. He, and A. Lukas, “Algorithmic algebraic geometry and flux vacua,” JHEP
2006
Later among the works it cites.
R. Blumenhagen, S. Moster, R. Reinbacher, and T. Weigand, “Massless spectra of three generation U(N) heterotic string vacua,” JHEP
2007
Later among the works it cites.
L. B. Anderson, Y.-H. He, and A. Lukas, “Heterotic compactification, an algorithmic approach,” JHEP
2007
Later among the works it cites.
2008
Later among the works it cites.
L. B. Anderson, Y.-H. He, and A. Lukas, “Monad Bundles in Heterotic String Compactifications,” JHEP
2008
Later among the works it cites.
M. Ambroso and B. Ovrut, “The B-L/Electroweak Hierarchy in Heterotic String and M- Theory,” JHEP
2009
Later among the works it cites.
2009
Later among the works it cites.
L. B. Anderson, J. Gray, A. Lukas, and B. Ovrut, “Stability Walls in Heterotic Theories,” JHEP
2009
Later among the works it cites.
2009
Later among the works it cites.