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Tri-vertices and SU(2)'s · Around

2010

Tri-vertices and SU(2)'s

Hanany, Amihay, Mekareeya, Noppadol

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We examine a class of N=2 supersymmetric gauge theories in (3+1) dimensions whose Lagrangians are determined by graphs consisting of two building blocks, namely a tri-vertex and a line.

A line represents an SU(2) gauge group and a tri-vertex represents a matter field in the trifundamental representation of SU(2)^3.
These graphs can be topologically classified by the genus and the number of external legs.
This paper focuses on the hypermultiplet moduli spaces of the aforementioned theories.

Built on

C. Romelsberger, “Counting Chiral Primaries in 𝒩 = 1 {\mathcal{N}}\!=1 , d = 4 d=4 Superconformal Field Theories,” Nucl. Phys. B 747
2006
Earlier work this paper cites.
P. C. Argyres and N. Seiberg, “S-Duality in 𝒩 = 2 {\mathcal{N}}\!=2 Supersymmetric Gauge Theories,” JHEP 0712
Original
2007
Earlier work this paper cites.
J. Kinney, J. M. Maldacena, S. Minwalla and S. Raju, “An Index for 4 Dimensional Super Conformal Theories,” Commun. Math. Phys. 275
2007
Earlier work this paper cites.
S. Benvenuti, B. Feng, A. Hanany and Y. H. He, “Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics,” JHEP 0711
2007
Earlier work this paper cites.

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D. Gaiotto and J. Maldacena, “The Gravity Duals of 𝒩 = 2 {\mathcal{N}}\!=2 Superconformal Field Theories,” arXiv:0904.4466 [hep-th]
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Then

F. Benini, Y. Tachikawa and B. Wecht, “Sicilian Gauge Theories and 𝒩 = 1 {\mathcal{N}}\!=1 Dualities,” JHEP 1001
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