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Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey

Chi-Ming Chang Center for Quantum Mathematics and Physics (QMAP), University of California, Davis, CA 95616, U.S.A. Martin Fluder Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, U.S.A. Ying-Hsuan Lin Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, U.S.A. Yifan Wang Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, U.S.A.

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.74011

Journal of High Energy Physics, 2018, (123), 2018.3
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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@inproceedings{chi-ming2018spheres,,
  title={Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey},
  author={Chi-Ming Chang, Martin Fluder, Ying-Hsuan Lin, and Yifan Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702140743568196507},
  booktitle={Journal of High Energy Physics},
  volume={2018},
  number={123},
  year={2018},
}
Chi-Ming Chang, Martin Fluder, Ying-Hsuan Lin, and Yifan Wang. Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey. 2018. Vol. 2018. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220702140743568196507.
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