Spheres, charges, instantons, and bootstrap: a five-dimensional odyssey
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Publication:1750967
DOI10.1007/JHEP03(2018)123zbMATH Open1388.81740arXiv1710.08418WikidataQ130087091 ScholiaQ130087091MaRDI QIDQ1750967
Author name not available (Why is that?)
Publication date: 23 May 2018
Published in: (Search for Journal in Brave)
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 -theorem and possibly a -theorem in five-dimensional superconformal theories.
Full work available at URL: https://arxiv.org/abs/1710.08418
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