General Argyres-Douglas theory

By Dan Xie. 2012

263 citations recorded by the source corpus.

A bstractWe construct a large class of Argyres-Douglas type theories by compactifying six dimensional (2, 0) AN − 1 theory on a Riemann surface with irregular singularities. We give a complete classification for the choices of Riemann surface and the singularities. The Seiberg-Witten curve and scaling dimensions of the operator spectrum are worked out. Three dimensional mirror theory and the central charges a, c are also calculated for some subsets, etc. Our results greatly enlarge the landscape of $ \mathcal{N}=2 $ superconformal field theory and in fact also include previous theories constructed using regular singularity on the sphere.

Subfields: Applied Mathematics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/95ec6c070ce62b94019fec4ea484865731995427

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In Applied Mathematics

In Mathematical Physics

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Citations in the corpus

Vertex operator algebras, Higgs branches, and modular differential equations (2017, methodology): “As four-dimensional SCFTs, these are rank-n theories with Weyl anomaly coefficients given by [65, 78]”
N=1 Deformations and RG Flows of N=2 SCFTs (2016, methodology): “• the so-called (A1, Dk) [5–7] and (IN,Nm+1, F ) theories [8] of Argyres-Douglas type • the rank-one SCFTs H1, H2, D4, E6, E7 and E8 [9–12].”
Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2 (2015, methodology): “This 5d theory we will denote by D̂p(G) As we will argue in section 4, upon compactification to 4d this theory flows to N = 2 theories Dp(G) discovered in [13, 14] as generalization of Argyres Douglas theories of Dtype (the usual AD theory of D-type corresponds to G = SU(2)).”
Schur indices, BPS particles, and Argyres-Douglas theories (2015, methodology): “The 4d central charge and the flavor central charge are c4d = n 2 + 1 6 and k4d = 2(2n+1) n+1 [30, 32, 48, 49].”
On the superconformal index of Argyres–Douglas theories (2015, methodology): “Crucially for us in what follows, there is another class of BPS co-dimension-two defects called “irregular” defects [7,9,24].”
The N=2$$ \mathcal{N}=2 $$ superconformal bootstrap (2014, background): “Alternatively, many Argyres-Douglas fixed points can be constructed in class S by allowing for irregular singularities on the UV curve [18].”
N=2 Supersymmetric Dynamics for Pedestrians (2013, background): “[75, 67, 107] and for wild punctures, more can be found in [108, 109].”