S-duality of boundary conditions in N=4 super Yang-Mills theory

By D. Gaiotto, E. Witten. 2008

822 citations recorded by the source corpus.

By analyzing brane configurations in detail, and extracting general lessons, we develop methods for analyzing S-duality of supersymmetric boundary conditions in N=4 super Yang-Mills theory. In the process, we find that S-duality of boundary conditions is closely related to mirror symmetry of three-dimensional gauge theories, and we analyze the IR behavior of large classes of quiver gauge theories.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ea826ef81b788e212072f4c999a36fa56fde835f

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Citations in the corpus

Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories (2012, methodology): “Then, at low energies, we get N=4 super Yang-Mills with gauge group J with a surface operator characterised by ρ.”
Gauge Theories Labelled by Three-Manifolds (2011, methodology): “This fact can be shown readily with the help of “duality domain walls” [26]: the action of bulk dualities on boundary conditions can be interpreted as the collision (or OPE) of these domain walls with the boundary, as illustrated in Figure 17.”
3-Manifolds and 3d Indices (2011, background): “The difference between the two conventions is fairly minimal: it is just an overall sign change (−1)e·m of IT (m, e; q), or a redefinition of the fugacity (4)This is a possibly more refined version of the requirement of positive monopole operator dimensions used to discuss the IR behavior of N = 4 g”
Holography for (1,0) theories in six dimensions (2014, methodology): “dimensional field theories in [15,16], to which we refer the reader for background.”
Chern-Simons theory and S-duality (2011, methodology): “This is the theory of an S-duality domain wall at a fixed “time” in R× S3, which implements the S-duality action φ [31]; it is a generalization of the T [SU(2)] theory of [32], which was further studied in [33, 34].”
Mirrors of 3d Sicilian theories (2010, methodology): “This was not explicitly written down in [ 20 ].”
Defects and quantum Seiberg-Witten geometry (2014, methodology): “We will concentrate on the surface defect obtained by introducing the most generic monodromy for the gauge field, or alternatively by coupling to the 3d N = 4 theory T [U(N)] [5].”
N=1 theories of class S_k (2015, background): “J H E P 0 7 ( 2 0 1 5 ) 0 7 3 interpolating between two S-duality frames of N = 4 SYM with SU(N) gauge groups [48].”
A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016, neutral): “The duality transformation of this action was anticipated in [70] and was worked out in [71], section 4.”
Localization techniques in quantum field theories (2016, methodology): “The A-twisted background can be generalized into a sort of Ω-deformed S2 [6]:17 the superalgebra is still su(1|1), however the u(1) bosonic subalgebra is a linear combination of R and rotations of S2 along an axis, controlled by a parameter Ω.”
The Coulomb Branch of 3d N = 4 Theories (2015, methodology): “These are [8] ∆i = Ni − 2Mi +Mi−1 +Mi+1 = (μ, αi) .”