Bootstrapping (D, D) Conformal Matter

Abstract

We use the numerical conformal bootstrap to study six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories with flavor symmetry ${\mathfrak{so}}_{4k}$. We present evidence that minimal $(D_k,D_k)$ conformal matter saturates the unitarity bounds for arbitrary $k$. Furthermore, using the extremal-functional method, we check that the chiral-ring relations are correctly reproduced, extract the anomalous dimensions of low-lying long superconformal multiplets, and find hints for novel OPE selection rules involving type-$\mathcal{B}$ multiplets.

arXiv comment14 pages, 8 figures

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Cited by in corpus (6)

• The critical O(N) CFT: Methods and conformal data
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• Higgs, Coulomb, and Hall-Littlewood
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Super-Spin Chains for 6D SCFTs
• Conformal Bootstrap with Duality-Inspired Fusion Rule