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The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8 · Around

2013

The BPS spectrum of the 4d N=2 SCFT's H_1, H_2, D_4, E_6, E_7, E_8

Cecotti, Sergio, Del Zotto, Michele

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Extending results of arXiv:1112.3984, we show that all rank 1 N=2 SCFT's in the sequence H_1, H_2, D_4 E_6, E_7, E_8 have canonical finite BPS chambers containing precisely 2 h(F)=12(Delta-1) hypermultiplets.

The BPS spectrum of the canonical BPS chambers saturates the conformal central charge c, and satisfies some intriguing numerology.

Built on

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J. Minahan and D. Nemeschansky, “Superconformal Fixed Points with E n E_{n} Global Symmetry Nucl. Phys. B 489
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Then

T. Dimofte and S. Gukov, “Refined, Motivic, and Quantum,” Lett. Math. Phys. 91
Original
2010
Later among the works it cites.
S. Cecotti and M. Del Zotto, “On Arnold’s 14 ‘exceptional’ 𝒩 = 2 {\cal N}=2 superconformal gauge theories,” JHEP 1110
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2011
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T. Dimofte, S. Gukov, and Y. Soibelman, “Quantum Wall Crossing in N=2 Gauge Theories,” Lett. Math. Phys
Original
2011
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S. Cecotti, “The quiver approach to the BPS spectrum of a 4d N=2 gauge theory,” to appear in the Proceedings of String Math 2012, Bonn, arXiv:1212.3431
Original
2012
Later among the works it cites.
S. Cecotti and M. Del Zotto, “Infinitely many 𝒩 = 2 \mathcal{N}=2 SCFT with ADE flavor symmetry,” JHEP 01

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