2015/05/01 by Prarit Agarwal, Agarwal, Prarit, Kenneth Intriligator +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.1505.00255
42 pages, 30 figures
arxiv created 2015/05/01 · openalex publication_date 2015/05/01 · arxiv updated 2015/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss two infinite classes of 4d supersymmetric theories, TN(m) and \cal UN(m), labelled by an arbitrary non-negative integer, m. The TN(m) theory arises from the 6d, AN-1 type \cal N=(2,0) theory reduced on a 3-punctured sphere, with normal bundle given by line bundles of degree (m+1, -m); the m=0 case is the \cal N=2 supersymmetric TN theory. The novelty is the negative-degree line bundle. The \cal UN(m) theories likewise arise from the 6d \cal N=(2,0) theory on a 4-punctured sphere, and can be regarded as gluing together two (partially Higgsed) TN(m) theories. The TN(m) and \cal UN(m) theories can be represented, in various duality frames, as quiver gauge theories, built from TN components via gauging and nilpotent Higgsing. We analyze the RG flow of the \cal UN(m) theories, and find that, for all integer m>0, they end up at the same IR SCFT as SU(N) SQCD with 2N flavors and quartic superpotential. The \cal UN(m) theories can thus be regarded as an infinite set of UV completions, dual to SQCD with Nf=2Nc. The \cal UN(m) duals have different duality frame quiver representations, with 2m+1 gauge nodes.