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We show that the BPS spectrum of pure SU(3) four-dimensional super Yang-Mills with N=2 supersymmetry exhibits a surprising phenomenon: there are regions of the Coulomb branch where the growth of the BPS degeneracies with the charge is exponential.
J. Wess, J. Bagger, “Supersymmetry and Supergravity,” Princeton University Press, 1992
1992
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N. Seiberg, E. Witten, “Monopole Condensation, and Confinement in 𝒩 = 2 {\cal N}=2 Supersymmetric Yang-Mills Theory,” Nucl.Phys.B426:19-52, 1994, arXiv:hep-th/9407087
1994
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N. Seiberg, E. Witten, “Monopoles, Duality and Chiral Symmetry Breaking in 𝒩 = 2 {\cal N}=2 Supersymmetric QCD,” Nucl.Phys.B431:484-550, 1994, arXiv:hep-th/9408099
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A. Bilal, F. Ferrari, “The Strong-coupling Spectrum of the Seiberg-Witten Theory,” Nucl.Phys.B469:387-402, 1996, arXiv:hep-th/9602082
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C. L. de Souza Batista, D. Li, “Analytic Calculations of Trial Wave Functions of the Fractional Quantum Hall Effect on the Sphere,” Phys.Rev.B55:1582, 1997, arXiv:cond-mat/9607170
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F. Denef, “Quantum Quivers and Hall/Hole Halos,” JHEP 0210:023, 2002, arXiv:hep-th/0206072
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M. Reineke, “The Harder-Narasimhan System in Quantum Groups and Cohomology of Quiver Moduli.”, Invent. Math. 152, no. 2, 349, 2003, arXiv:math/0204059
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H. Ooguri, A. Strominger, C. Vafa, “Black Hole Attractors and the Topological String”, Phys.Rev.D70:106007, 2004, arXiv:hep-th/0405146
2004
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B. Fiol, “The BPS Spectrum of 𝒩 = 2 {\cal N}=2 S U ( N ) SU(N) SYM,” JHEP 0602:065, 2006, arXiv:hep-th/0012079
2006
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J. de Boer, M.C.N. Cheng, R. Dijkgraaf, J. Manschot, E. Verlinde, “A Farey Tail for Attractor Black Holes”, JHEP 0611:24, 2006, arXiv:hep-th/0608059
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T. Dimofte, S. Gukov, “Refined, Motivic, and Quantum,” Lett.Math.Phys.91:1, 2010, arXiv:0904.1420
2010
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G.W. Moore, PiTP Lectures on Wall-Crossing, PiTP School at the Institute for Advanced Study, July 27-29, 2010, http://www.physics.rutgers.edu/ ∼ \sim gmoore
2010
2011
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2011
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F. Denef, G.W. Moore, “Split States, Entropy Enigmas, Holes and Halos,” JHEP 1111:129, 2011, arXiv:hep-th/0702146
2011
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2012
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G.W. Moore, Felix Klein Lectures: “Applications of the Six-dimensional (2,0) Theory to Physical Mathematics,” October 1 - 11, 2012 at the Hausdorff Insitute for Mathematics, Bonn. http://www.physics.rutgers.edu/ ∼ \sim gmoore
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Cited alongside, same era.
2010
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M. Reineke, “The Use of Geometric and Quantum Group Techniques for Wild Quivers,” arXiv:math/0304193
Cited in the paper.
V.V. Fock, A.B. Goncharov, “Moduli Spaces of Local Systems and Higher Teichmuller Theory,” arXiv:math/0311149
Cited in the paper.
M. Reineke, “Moduli of Representations of Quivers,” arxiv:0802.2147
Cited in the paper.
Cited in the paper.
Cited in the paper.
Cited in the paper.
2012
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D. Gaiotto, “N=2 dualities”, JHEP 1208
2012
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