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arXiv · 2111.02453

Bootstrapping (D, D) Conformal Matter

Florent Baume·Craig Lawrie
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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.

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Florent Baume, Craig Lawrie. 2021-11-03. Bootstrapping (D, D) Conformal Matter. https://doi.org/10.1103/physrevd.105.046006

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