S-duality in N=2 supersymmetric gauge theories

By P. Argyres, N. Seiberg. 2007

336 citations recorded by the source corpus.

A solution to the infinite coupling problem for N = 2 conformal supersymmetric gauge theories in four dimensions is presented. The infinitely-coupled theories are argued to be interacting superconformal field theories (SCFTs) with weakly gauged flavor groups. Consistency checks of this proposal are found by examining some low-rank examples. As part of these checks, we show how to compute new exact quantities in these SCFTs: the central charges of their flavor current algebras. Also, the isolated rank 1 E6 and E7 SCFTs are found as limits of Lagrangian field theories.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a5a8f638e81c39efef44d1b95176abf4d06d4fce

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Citations in the corpus

Gauge Theories and Macdonald Polynomials (2011, methodology): “The flavor symmetry of this theory is known to enhance to E7 [26].”
Central charges of 𝒩 = 2 superconformal field theories in four dimensions (2008, methodology): “4) was originally observed in [13] for superconformal theories realized using the S-duality approach of Argyres and Seiberg [12].”
Tinkertoys for the DN series (2011, background): “e anomaly in a curved background [21], T = c 16ˇ2 (Weyl)2 a 16ˇ2 (Euler); (16) are useful invariants, characterizing 4D conformal eld theories. Along with the avour current-algebra central charges [12], k i, they are among the few readily computable invariants of interacting SCFTs. For the N= 2 SCF”
Infinite Chiral Symmetry in Four Dimensions (2013, methodology): “,dimGF are adjoint flavor indices, and we are using normalizations such that long roots of a Lie algebra have length √ 2 as in [30].”
The Hilbert series of the one instanton moduli space (2010, methodology): “This gives a useful check of the Argyres-Seiberg duality to all orders.”
The superconformal index of the E6 SCFT (2010, background): “The index is seen a posteriori to be invariant under the full E6 symmetry, providing an independent check of Argyres-Seiberg duality itself.2 We proceed to define a TQFT structure for generalized quivers with SU(3) gauge symmetries.”
General Argyres-Douglas theory (2012, background): “Finally, there can be a rank 6 representation such that the only irregular singularity has partition Y3 = [4, 2], Y2 = [2, 1, 1, 1, 1], Y3 = [2, 1, 1, 1, 1], which is shown in figure.”
Exactly marginal deformations and global symmetries (2010, background): “This calculation is standard perturbation theory when the matter theory is a theory of free chiral multiplets; if not, it is a mixture of weak gauging of a flavor symmetry of a strongly coupled sector as in [20,21] and conformal perturbation theory.”
$\mathcal{N} = 2$ quantum field theories and their BPS quivers (2011, methodology): “We consider checks on this proposal in the rank 3 case related to Argyres-Seiberg duality [6].”
The Ω Deformed B-model for Rigid N = 2 Theories (2011, background): “The choice of the bare parameters remains ambiguous [84, 37].”
A holographic computation of the central charges of d = 4, Script N = 2 SCFTs (2007, methodology): “4 In [ 15 ] the authors calculated in the same way the central charge kU(1)R of the U(1)R current,”
Non-Lagrangian theories from brane junctions (2013, methodology): “11) as being the 5D uplift of the strong coupling limit of the 4D SU(3) theory with six flavors, leading then to the 4D E6 CFT [6].”
Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories (2012, background): “the S-duality of N=4 super Yang-Mills [2, 6], the physical realisation of the Seiberg-Witten curve of N=2 gauge theories [7, 8], and Argyres-Seiberg duality [9, 10, 11].”
The N=2$$ \mathcal{N}=2 $$ superconformal bootstrap (2014, background): “2 2 3 7 6 13 6 19 6 31 6 a 43 120 11 24 7 12 23 24 41 24 59 24 95 24 r 0 6 5 4 3 3 2 2 3 4 6 Table 1. Properties of rank one SCFTs associated to maximal mass deformations of the Kodaira singularities [16,105,106]. We list the name of the singularity, the avor symmetry algebra h and its dual Coxeter ”
Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations (2015, background): “rst by Kodaira, and all of them do arise as Coulomb branches of particular N= 2 SCFTs [4,10,13,14]. But these scale-invariant geometries do not specify a corresponding SCFT uniquely since it is known [4,17] that some can arise as Coulomb branches of multiple inequivalent theories. In the case of gau”