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arXiv · 1710.08418

Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey

Chi-Ming Chang·Martin Fluder·Ying-Hsuan Lin·Yifan Wang
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Abstract

We combine supersymmetric localization and the conformal bootstrap to study five-dimensional superconformal field theories. To begin, we classify the admissible counter-terms and derive a general relation between the five-sphere partition function and the conformal and flavor central charges. Along the way, we discover a new superconformal anomaly in five dimensions. We then propose a precise triple factorization formula for the five-sphere partition function, that incorporates instantons and is consistent with flavor symmetry enhancement. We numerically evaluate the central charges for the rank-one Seiberg and Morrison-Seiberg theories, and find strong evidence for their saturation of bootstrap bounds, thereby determining the spectra of long multiplets in these theories. Lastly, our results provide new evidence for the $F$-theorem and possibly a $C$-theorem in five-dimensional superconformal theories.

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Chi-Ming Chang, Martin Fluder, Ying-Hsuan Lin, Yifan Wang. 2017-10-23. Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey. https://doi.org/10.1007/jhep03(2018)123

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