Webs of five-branes and = 2 superconformal field theories

By F. Benini, S. Benvenuti, Yuji Tachikawa. 2009

333 citations recorded by the source corpus.

We describe configurations of 5-branes and 7-branes which realize, when compactified on a circle, new isolated four-dimensional = 2 superconformal field theories recently constructed by Gaiotto. Our diagrammatic method allows to easily count the dimensions of Coulomb and Higgs branches, with the help of a generalized s-rule. We furthermore show that superconformal field theories with E6,7,8 flavor symmetry can be analyzed in a uniform manner in this framework; in particular we realize these theories at infinitely strongly-coupled limits of quiver theories with SU gauge groups.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3e6e80ea5235662b312d7564e56680e65277402d

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Citations in the corpus

General instanton counting and 5d SCFT (2014, methodology): “9) was obtained in [31], by computing Zinst from a suitably Higgsed 5d T4 theory [61].”
Infinite Chiral Symmetry in Four Dimensions (2013, background): “Generically, TN has SU(N)1 × SU(N)2 × SU(N)3 flavor symmetry, and central charges [58, 59]”
General Argyres-Douglas theory (2012, background): “Rank N E6, E7 and E8 theory can be realized by compactifying six dimensional A3N−1, A4N−1 and A6N−1 theory on a three punctured sphere with just regular singularities [48].”
Partition Functions of $${\mathcal{N}=(2,2)}$$N=(2,2) Gauge Theories on S2 and Vortices (2012, background): “surprising aspects of the dynamics of multiple M5-branes – whose reduction on a Riemann surface Σ can give either an N = 2 [60] or an N = 1 [61, 62, 63] four-dimensional theory depending on the twist, some aspects being discussed in [64, 65, 66] – most notably the AGT correspondence [67].”
A& B model approaches to surface operators and Toda thoeries (2010, background): “1 Toda theory (chiral) three-point functions from toric geometry? In [13] it was proposed that a five-dimensional version of the TN (T3,0(Ar)) theory can be obtained in a IIB setup in terms of a certain N -junction.”
$\mathcal{N} = 2$ quantum field theories and their BPS quivers (2011, background): “For a theory with n M5-branes there is no longer a single type of puncture; there is a classification of punctures by Young tableaux [9, 20, 43, 44].”
Mirrors of 3d Sicilian theories (2010, methodology): “In [5] it was shown how to lift the Sicilian theories to five dimensions, and how to get a brane construction of them in IIB string theory.”