Testing 5d-6d dualities with fractional D-branes

Abstract

6d SCFTs compactified on a circle can often be studied from nonperturbative 5d super-Yang-Mills theories, using instanton solitons. However, the 5d Yang-Mills theories with 6d UV fixed points frequently have too many hypermultiplet matters, which makes it difficult to use the ADHM techniques for instantons. With the examples of 6d $\mathcal{N}=(1,0)$ SCFTs with $Sp(N)$ gauge symmetry and $2N+8$ fundamental hypermultiplets, we show that one can still make rigorous studies of these 5d-6d relations in the `fractional D-brane sectors'. We test the recently proposed 5d duals given by $Sp(N+1)$ gauge theories, and compare their instanton partition functions with the elliptic genera of 6d self-dual strings.

arXiv comment21 pages, 4 figures

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Cited by in corpus (12)

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• Revisiting the classifications of 6d SCFTs and LSTs
• AdS${}_7$/CFT${}_6$ with orientifolds
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
• Bootstrapping BPS spectra of 5d/6d field theories
• 6d strings and exceptional instantons
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• Little strings on $D_n$ orbifolds
• Surface defects on E-string from 5-brane webs
• D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants
• Affine characters at negative level and elliptic genera of non-critical strings