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We extend the direct integration method of the holomorphic anomaly equations to general Omega backgrounds for pure SU(2) N=2 Super-Yang-Mills theory and topological string theory on non-compact Calabi-Yau threefolds.
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1993
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M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, “Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes,” Commun. Math. Phys. 165
1994
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N. Seiberg and E. Witten, “Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory,” Nucl. Phys. B 426
1994
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C. Vafa and E. Witten, “A Strong coupling test of S duality,” Nucl. Phys. B 431
1994
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A. Strominger, “Massless black holes and conifolds in string theory,” Nucl. Phys. B 451
1995
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Antoniadis, E. Gava, K. S. Narain and T. R. Taylor, “N=2 type II heterotic duality and higher derivative F terms”, Nucl. Phys. B 455, 109 (1995) [arXiv:hep-th/9507115]
1995
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J. F. Morales and M. Serone, “Higher derivative F-terms in N = 2 strings,” Nucl. Phys. B 481
1996
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S. Kachru, A. Klemm, W. Lerche, P. Mayr and C. Vafa, “Nonperturbative results on the point particle limit of N=2 heterotic string compactifications,” Nucl. Phys. B 459
1996
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S. T. Yau and E. Zaslow, “BPS States, String Duality, and Nodal Curves on K3,” Nucl. Phys. B 471
1996
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O. J. Ganor, “A test of the chiral E(8) current algebra on a 6D non-critical string,” Nucl. Phys. B 479
1996
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S. H. Katz, A. Klemm and C. Vafa, “Geometric engineering of quantum field theories,” Nucl. Phys. B 497
1997
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J. A. Minahan, D. Nemeschansky, C. Vafa and N. P. Warner, Nucl. Phys. B 527
1998
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R. Gopakumar and C. Vafa, “On the gauge theory/geometry correspondence,” Adv. Theor. Math. Phys. 3
1999
Cited alongside, same era.
S. Hosono, M. H. Saito and A. Takahashi, “Holomorphic anomaly equation and BPS state counting of rational elliptic surface,” Adv. Theor. Math. Phys. 3
1999
Cited alongside, same era.
S. H. Katz, A. Klemm and C. Vafa, “M-theory, topological strings and spinning black holes,” Adv. Theor. Math. Phys. 3
1999
Cited alongside, same era.
M. Marino and G. W. Moore, “Counting higher genus curves in a Calabi-Yau manifold,” Nucl. Phys. B 543
1999
Cited alongside, same era.
S. Kachru, S. H. Katz, A. E. Lawrence and J. McGreevy, “Open string instantons and superpotentials,” Phys. Rev. D 62
2000
Cited alongside, same era.
T. W. Grimm, A. Klemm, M. Marino and M. Weiss, “Direct integration of the topological string,” JHEP 0708
2007
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2007
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B. Eynard, M. Marino and N. Orantin, JHEP 0706
2007
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A. Klemm and M. Marino, “Counting BPS states on the Enriques Calabi-Yau,” Commun. Math. Phys. 280
2008
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M. Aganagic, V. Bouchard and A. Klemm, “Topological Strings and (Almost) Modular Forms,” Commun. Math. Phys. 277
2008
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B. Haghighat, A. Klemm and M. Rauch, “Integrability of the holomorphic anomaly equations,” JHEP 0810
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N. A. Nekrasov, “Seiberg-Witten Prepotential From Instanton Counting,” Adv. Theor. Math. Phys. 7
2004
Cited alongside, same era.
S. Yamaguchi and S. T. Yau, “Topological string partition functions as polynomials,” JHEP 0407
2004
Cited alongside, same era.
M. Marino, “Chern-Simons theory, matrix integrals, and perturbative three- manifold invariants,” Commun. Math. Phys. 253
2004
Cited alongside, same era.
B. Forbes and M. Jinzenji, “Extending the Picard-Fuchs system of local mirror symmetry,” J. Math. Phys. 46
2005
Cited alongside, same era.
A. Klemm, M. Kreuzer, E. Riegler and E. Scheidegger, “Topological string amplitudes, complete intersection Calabi-Yau spaces and threshold corrections,” JHEP 0505
2005
Cited alongside, same era.
M. x. Huang and A. Klemm, “Holomorphic anomaly in gauge theories and matrix models,” JHEP 0709
2007
Cited alongside, same era.
M. Weiss, “Topological Amplitudes in Heterotic Strings with Wilson Lines,” JHEP 0708
2007
Cited alongside, same era.
2008
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A. Iqbal, C. Kozcaz and C. Vafa, “The refined topological vertex,” JHEP 0910
2009
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M. x. Huang, A. Klemm and S. Quackenbush, “Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions,” Lect. Notes Phys. 757
2009
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2009
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V. Bouchard, A. Klemm, M. Marino and S. Pasquetti, Commun. Math. Phys. 287
2009
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2010
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