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We provide the geometrical meaning of the ${\cal N}=4$ superconformal index.
1909
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E. Witten, “Supersymmetry and Morse theory,” J. Diff. Geom
1982
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N. Berline and M. Vergne, “Classes caractéristiques équivariantes. Formule de localisation en cohomologie équivariante,” C. R. Acad. Sci. Paris Sér. I Math
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1985
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D. Sen, “SUPERSYMMETRY BREAKING IN R x S**3,”. Contributed to 23rd International Conference on High-Energy Physics held in Berkeley, CA, 16-23 July 1986
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1987
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1987
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V. K. Dobrev and V. B. Petkova, “GROUP THEORETICAL APPROACH TO EXTENDED CONFORMAL SUPERSYMMETRY: FUNCTION SPACE REALIZATIONS AND INVARIANT DIFFERENTIAL OPERATORS,” Fortschr. Phys
1987
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E. Witten, “Topological Sigma Models,” Commun. Math. Phys. 118 (1988) 411
1988
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E. Witten, “Topological Quantum Field Theory,” Commun. Math. Phys. 117 (1988) 353
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E. Witten, “Quantum field theory and the Jones polynomial,” Commun. Math. Phys. 121 (1989) 351
1989
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1990
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N. Reshetikhin and V. G. Turaev, “Invariants of three manifolds via link polynomials and quantum groups,” Invent. Math. 103 (1991) 547–597
1991
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T. Kohno, “Topological invariants for three manifolds using representations of mapping class groups. I,” Topology
1992
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1992
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F. A. Dolan and H. Osborn, “On short and semi-short representations for four dimensional superconformal symmetry,” Ann. Phys. 307 (2003) 41–89 , arXiv:hep-th/0209056
2003
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O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas, and M. Van Raamsdonk, “The Hagedorn / deconfinement phase transition in weakly coupled large N gauge theories,” Adv. Theor. Math. Phys
2004
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N. A. Nekrasov, “Seiberg-Witten Prepotential From Instanton Counting,” Adv. Theor. Math. Phys
2004
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C. Romelsberger, “Counting Chiral Primaries in 𝒩 = 1 {\mathcal{N}}\!=1 , d = 4 d=4 Superconformal Field Theories,” Nucl. Phys. B747 (2006) 329–353 , arXiv:hep-th/0510060
2006
Later among the works it cites.
Y. Nakayama, “Index for orbifold quiver gauge theories,” Phys. Lett. B636 (2006) 132–136 , arXiv:hep-th/0512280
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E. Witten, “Two-dimensional gauge theories revisited,” J. Geom. Phys. 9 (1992) 303–368 , arXiv:hep-th/9204083
1992
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S. Piunikhin, “Reshetikhin-Turaev and Crane-Kohno-Kontsevich 3-manifold invariants coincide,” J. Knot Theory Ramifications
1993
Cited alongside, same era.
N. Berkovits, “A Ten-dimensional superYang-Mills action with off-shell supersymmetry,” Phys. Lett. B318 (1993) 104–106 , arXiv:hep-th/9308128
1993
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E. Witten, “Monopoles and four manifolds,” Math. Res. Lett
1994
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C. Vafa and E. Witten, “A Strong coupling test of S duality,” Nucl. Phys. B431 (1994) 3–77 , arXiv:hep-th/9408074
1994
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N. Seiberg and E. Witten, “Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory,” Nucl. Phys. B426 (1994) 19–52 , arXiv:hep-th/9407087
1994
Cited alongside, same era.
E. Witten, “Supersymmetric Yang-Mills theory on a four manifold,” J. Math. Phys. 35 (1994) 5101–5135 , arXiv:hep-th/9403195
1994
Cited alongside, same era.
2006
Later among the works it cites.
Y. Nakayama, “Index for supergravity on AdS(5) x T**(1,1) and conifold gauge theory,” Nucl. Phys. B755 (2006) 295–312 , arXiv:hep-th/0602284
2006
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G. Ishiki, Y. Takayama, and A. Tsuchiya, “N = 4 SYM on R x S**3 and theories with 16 supercharges,” JHEP 10 (2006) 007 , arXiv:hep-th/0605163
2006
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J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, “An index for 4 dimensional super conformal theories,” Commun. Math. Phys. 275 (2007) 209–254 , arXiv:hep-th/0510251
2007
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2007
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M. Bianchi, F. A. Dolan, P. J. Heslop, and H. Osborn, “N = 4 superconformal characters and partition functions,” Nucl. Phys. B767 (2007) 163–226 , arXiv:hep-th/0609179
2007
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2008
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2008
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2009
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2009
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2010
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2010
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