N $$ \mathcal{N} $$ = 2 S-duality revisited

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2017
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Abstract
Abstract Using the chiral algebra bootstrap, we revisit the simplest Argyres-Douglas (AD) generalization of Argyres-Seiberg S-duality. We argue that the exotic AD superconformal field theory (SCFT), T 3 , 3 2 $$ {\mathcal{T}}_{3,\frac{3}{2}} $$ , emerging in this duality splits into a free piece and an interacting piece, T X $$ {\mathcal{T}}_X $$ , even though this factorization seems invisible in the Seiberg-Witten (SW) curve derived from the corresponding M5-brane construction. Without a Lagrangian, an associated topological field theory, a BPS spectrum, or even an SW curve, we nonetheless obtain exact information about T X $$ {\mathcal{T}}_X $$ by bootstrapping its chiral algebra, X T X $$ {}_{\mathcal{X}}\left({\mathcal{T}}_X\right) $$ , and finding the corresponding vacuum character in terms of Affine Kac-Moody characters. By a standard 4D/2D correspondence, this result gives us the Schur index for T X $$ {\mathcal{T}}_X $$ and, by studying this quantity in the limit of small S 1, we make contact with a proposed S 1 reduction. Along the way, we discuss various properties of T X $$ {\mathcal{T}}_X $$ : as an N $$ \mathcal{N} $$ = 1 theory, it has flavor symmetry SU(3) × SU(2) × U(1), the central charge of X T X $$ {}_{\mathcal{X}}\left({\mathcal{T}}_X\right) $$ matches the central charge of the bc ghosts in bosonic string theory, and its global SU(2) symmetry has a Witten anomaly. This anomaly does not prevent us from building conformal manifolds out of arbitrary numbers of T X $$ {\mathcal{T}}_X $$ theories (giving us a surprisingly close AD relative of Gaiotto’s T N theories), but it does lead to some open questions in the context of the chiral algebra/4D N $$ \mathcal{N} $$ =2SCFT correspondence.
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Authors Buican, Matthew;Laczko, Zoltan;Nishinaka, Takahiro;
Journal journal of high energy physics
Year 2017
DOI
DOI not found
URL
http://link.springer.com/article/10.1007/JHEP09(2017)087
Keywords
Medicine (General) Materials of engineering and construction. Mechanics of materials Technology Electrical engineering. Electronics. Nuclear engineering physics sports manufactures environmental engineering earthwork. foundations mining engineering. metallurgy philosophy (general) nuclear and particle physics. atomic energy. radioactivity

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