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H. F. Blichfeldt, “Finite Collineation Groups,” Univ. Chicago Press, Chicago, 1917
1917
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1934
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P. Candelas, G. T. Horowitz, A. Strominger, E. Witten, “Vacuum Configurations for Superstrings,” Nucl. Phys. B
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J. Distler, B. R. Greene, “Aspects of (2,0) String Compactifications,” Nucl. Phys. B
1988
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1990
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T. Hubsch., “Calabi-Yau Manifolds: a Bestiary for Physicists,” World Scientific, 1992. ISBN 10: 981021927X
1992
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E. Witten, “Phases of N=2 theories in two-dimensions,” Nucl. Phys. B
1993
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P. Candelas, A. M. Dale, C. A. Lutken, R. Schimmrigk, “Complete Intersection Calabi-Yau Manifolds,” Nucl. Phys. B
1994
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R. Blumenhagen, R. Schimmrigk, A. Wisskirchen, “The (0,2) exactly solvable structure of chiral rings, Landau-Ginzburg theories, and Calabi-Yau manifolds,” Nucl. Phys. B
1996
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D. R. Morrison, C. Vafa, “Compactifications of F theory on Calabi-Yau threefolds. 1 & 2,” Nucl. Phys. B
1996
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P. Horava, E. Witten, “Eleven-dimensional supergravity on a manifold with boundary,” Nucl. Phys. B
1996
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T. Gherghetta, C. F. Kolda, S. P. Martin, “Flat directions in the scalar potential of the supersymmetric standard model,” Nucl. Phys. B
1996
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R. Friedman, J. Morgan, E. Witten, “Vector bundles and F theory,” Commun. Math. Phys
1997
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R. Y. Donagi, “Principal bundles on elliptic fibrations,” Asian J. Math
1997
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A. C. Avram, M. Kreuzer, M. Mandelberg, H. Skarke, “The Web of Calabi-Yau hypersurfaces in toric varieties,” Nucl. Phys. B
1997
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S. H. Katz, A. Klemm, C. Vafa, “Geometric engineering of quantum field theories,” Nucl. Phys. B
1997
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C. V. Johnson, R. C. Myers, “Aspects of type IIB theory on ALE spaces,” Phys. Rev. D
1997
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M. R. Douglas, B. R. Greene, D. R. Morrison, “Orbifold resolution by D-branes,” Nucl. Phys. B
1997
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J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys
1998
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A. E. Lawrence, N. Nekrasov, C. Vafa, “On conformal field theories in four-dimensions,” Nucl. Phys. B
1998
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S. Kachru, E. Silverstein, “4-D conformal theories and strings on orbifolds,” Phys. Rev. Lett
1998
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A. Hanany, Y. -H. He, “NonAbelian finite gauge theories,” JHEP
1999
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G. Aldazabal, L. E. Ibanez, F. Quevedo, A. M. Uranga, “D-branes at singularities: A Bottom up approach to the string embedding of the standard model,” JHEP
2000
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C. Beasley, B. R. Greene, C. I. Lazaroiu, M. R. Plesser, “D3-branes on partial resolutions of Abelian quotient singularities of Calabi-Yau threefolds,” Nucl. Phys. B
2000
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G.-M. Greuel, G. Pfister, H. Schönemann,
2001
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D. Bailin, G. V. Kraniotis, A. Love, “Supersymmetric standard models on D-branes,” Phys. Lett. B
2001
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A. Hanany, Y. -H. He, JHEP
2001
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B. Feng, A. Hanany, Y. -H. He, “D-brane gauge theories from toric singularities and toric duality,” Nucl. Phys. B
2001
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B. Feng, A. Hanany, Y. -H. He, “Phase structure of D-brane gauge theories and toric duality,” JHEP
2001
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B. Feng, A. Hanany, Y. -H. He, A. M. Uranga, “Toric duality as Seiberg duality and brane diamonds,” JHEP
2001
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C. E. Beasley, M. R. Plesser, “Toric duality is Seiberg duality,” JHEP
2001
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A. E. Faraggi, M. Pospelov, “Selfinteracting dark matter from the hidden heterotic string sector,” Astropart. Phys
2002
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R. Donagi, B. A. Ovrut, T. Pantev, D. Waldram, “Standard models from heterotic M theory,” Adv. Theor. Math. Phys
2002
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R. Donagi, B. A. Ovrut, T. Pantev, D. Waldram, “Standard model bundles,” Adv. Theor. Math. Phys
2002
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M. Kreuzer, H. Skarke, “Reflexive polyhedra, weights and toric Calabi-Yau fibrations,” Rev. Math. Phys
2002
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D. Berenstein, V. Jejjala, R. G. Leigh, “The Standard model on a D-brane,” Phys. Rev. Lett
2002
Cited alongside, same era.
A. Iqbal, A. Neitzke, C. Vafa, “A Mysterious duality,” Adv. Theor. Math. Phys
2002
Cited alongside, same era.
F. Cachazo, B. Fiol, K. A. Intriligator, S. Katz, C. Vafa, “A Geometric unification of dualities,” Nucl. Phys. B
2002
Cited alongside, same era.
S. Fomin, A. Zelevinsky, “Cluster algebras. I. Foundations.” J. Amer. Math. Soc., 15 (2), 2002
2002
Cited alongside, same era.
E. Witten, “Supersymmetric index in four-dimensional gauge theories,” Adv. Theor. Math. Phys
2002
Cited alongside, same era.
I. Antoniadis, E. Kiritsis, J. Rizos, T. N. Tomaras, “D-branes and the standard model,” Nucl. Phys. B
J. Gray, Y. -H. He, A. Ilderton, A. Lukas, “A New Method for Finding Vacua in String Phenomenology,” JHEP
2007
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2008
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M. Gabella, Y. -H. He, A. Lukas, “An Abundance of Heterotic Vacua,” JHEP
2008
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L. B. Anderson, Y. -H. He, A. Lukas, “Monad Bundles in Heterotic String Compactifications,” JHEP
2008
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B. Feng, Y. -H. He, K. D. Kennaway, C. Vafa, “Dimer models from mirror symmetry and quivering amoebae,” Adv. Theor. Math. Phys
2008
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2003
Cited alongside, same era.
C. P. Herzog, J. Walcher, “Dibaryons from exceptional collections,” JHEP
2003
Cited alongside, same era.
R. Donagi, Y. -H. He, B. A. Ovrut, R. Reinbacher, “The Particle spectrum of heterotic compactifications,” JHEP
2004
Cited alongside, same era.
C. P. Herzog, “Exceptional collections and del Pezzo gauge theories,” JHEP
2004
Cited alongside, same era.
P. S. Aspinwall, I. V. Melnikov, “D-branes on vanishing del Pezzo surfaces,” JHEP
2004
Cited alongside, same era.
M. Wijnholt, “Large volume perspective on branes at singularities,” Adv. Theor. Math. Phys
2004
Cited alongside, same era.
S. Franco, Y. -H. He, C. Herzog, J. Walcher, “Chaotic duality in string theory,” Phys. Rev. D
2004
Cited alongside, same era.
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M. Yamazaki, “Brane Tilings and Their Applications,” Fortsch. Phys
2008
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2008
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D. Forcella, A. Hanany, Y. -H. He, A. Zaffaroni, “The Master Space of N=1 Gauge Theories,” JHEP
2008
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J. Gray, A. Hanany, Y. -H. He, V. Jejjala, N. Mekareeya, “SQCD: A Geometric Apercu,” JHEP
2008
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L. B. Anderson, J. Gray, A. Lukas, B. Ovrut, “Stability Walls in Heterotic Theories,” JHEP
2009
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2009
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J. Distler, E. Sharpe, “Heterotic compactifications with principal bundles for general groups and general levels,” Adv. Theor. Math. Phys
2010
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P. Candelas, R. Davies, “New Calabi-Yau Manifolds with Small Hodge Numbers,” Fortsch. Phys
2010
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2010
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Y. -H. .He, “An Algorithmic Approach to Heterotic String Phenomenology,” Mod. Phys. Lett. A
2010
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2010
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2010
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2010
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A. Hanany, N. Mekareeya, G. Torri, “The Hilbert Series of Adjoint SQCD,” Nucl. Phys. B
2010
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2011
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2011
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2011
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2011
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D. Malyshev, “Del Pezzo singularities and SUSY breaking,” Adv. High Energy Phys
2011
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2011
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2011
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2011
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2011
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Computational Algebraic Geometry in String, Gauge Theory
Y.-H. He, P. Candelas, A. Hanany, A. Lukas, B. Ovrut, Ed · 2012
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2012
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W. Taylor, “On the Hodge structure of elliptically fibered Calabi-Yau threefolds,” JHEP
2012
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2012
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L. B. Anderson, J. Gray, A. Lukas, E. Palti, “Heterotic Line Bundle Standard Models,” JHEP
2012
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Y. -H. He, S. -J. Lee, “Quiver Structure of Heterotic Moduli,” JHEP
2012
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2012
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2012
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2012
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The GAP Group, “GAP – Groups, Algorithms, and Programming, Version 4.6.4”; 2013,
2013
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V. Braun, “Toric Elliptic Fibrations and F-Theory Compactifications,” JHEP
2013
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