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We present a unifying theme relating BPS partition functions and superconformal indices.
C. Vafa, ”String Vacua and Orbifoldized L-G Models”, Mod. Phys. Lett. A
1989
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E. J. Martinec, “Algebraic Geometry and Effective Lagrangians,” Phys. Lett. B
1989
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C. Vafa and N. P. Warner, “Catastrophes and the Classification of Conformal Theories,” Phys. Lett. B
1989
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S. Cecotti and C. Vafa,“Topological antitopological fusion,” Nucl. Phys. B
1991
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S. Cecotti, P. Fendley, K. A. Intriligator and C. Vafa, “A New supersymmetric index,” Nucl. Phys. B
1992
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S. Cecotti and C. Vafa, “On classification of N=2 supersymmetric theories,” Commun. Math. Phys
1993
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E. Witten, “On the Landau-Ginzburg description of N=2 minimal models,” Int. J. Mod. Phys. A
1994
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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
1994
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E. Witten, “Phase transitions in M theory and F theory,” Nucl. Phys. B
1996
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N. Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics,” Phys. Lett. B
1996
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M. R. Douglas, S. H. Katz and C. Vafa, “Small instantons, Del Pezzo surfaces and type I-prime theory,” Nucl. Phys. B
1997
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D. R. Morrison and N. Seiberg, “Extremal transitions and five-dimensional supersymmetric field theories,” Nucl. Phys. B
1997
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K. A. Intriligator, D. R. Morrison and N. Seiberg, “Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces,” Nucl. Phys. B
1997
Cited alongside, same era.
S. Katz, P. Mayr and C. Vafa,“Mirror symmetry and exact solution of 4-D N=2 gauge theories: 1.,” Adv. Theor. Math. Phys
1998
Cited alongside, same era.
S. Katz, P. Mayr and C. Vafa, “Mirror symmetry and exact solution of 4-D N=2 gauge theories: 1.,” Adv. Theor. Math. Phys
1998
Cited alongside, same era.
H. Ooguri and C. Vafa, “Knot invariants and topological strings,” Nucl. Phys. B
2000
Cited alongside, same era.
M. Aganagic, A. Klemm and C. Vafa, “Disk instantons, mirror symmetry and the duality web,” Z. Naturforsch. A
2002
Cited alongside, same era.
A. Iqbal, C. Kozcaz and C. Vafa, “The Refined topological vertex,” JHEP
2009
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S. Gukov and E. Witten, “Rigid Surface Operators,” Adv. Theor. Math. Phys
2010
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2011
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Y. Imamura,“Relation between the 4d superconformal index and the
2011
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2011
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F. A. Dolan and H. Osborn, “On short and semi-short representations for four-dimensional superconformal symmetry,” Annals Phys
2003
Cited alongside, same era.
S. Gukov, A. S. Schwarz and C. Vafa, “Khovanov-Rozansky homology and topological strings,” Lett. Math. Phys
2005
Cited alongside, same era.
M. Aganagic, A. Klemm, M. Marino and C. Vafa, “The Topological vertex,” Commun. Math. Phys
2005
Cited alongside, same era.
H. Awata and H. Kanno, “Instanton counting, Macdonald functions and the moduli space of D-branes,” JHEP
2005
Cited alongside, same era.
J. Kinney, J. M. Maldacena, S. Minwalla and S. Raju, “An Index for 4 dimensional super conformal theories,” Commun. Math. Phys
2007
Cited alongside, same era.
2008
Cited alongside, same era.
T. J. Hollowood, A. Iqbal and C. Vafa, “Matrix models, geometric engineering and elliptic genera,” JHEP
2008
Cited alongside, same era.
2011
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T. Dimofte, S. Gukov and L. Hollands, “Vortex Counting and Lagrangian 3-manifolds,” Lett. Math. Phys
2011
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S. Pasquetti, “Factorisation of N = 2 Theories on the Squashed 3-Sphere,” JHEP
2012
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S. Kim, “The Complete superconformal index for N=6 Chern-Simons theory,” Nucl. Phys. B
2012
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2012
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