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

Chang, Chi-Ming; Fluder, Martin; Lin, Ying-Hsuan; Wang, Yifan

doi:10.1007/jhep03(2018)123

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

Journal Article · 20 March 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2018)123 · OSTI ID:1502409

Chang, Chi-Ming ^[1]; Fluder, Martin ^[2];

^[2]; Wang, Yifan ^[3]

Univ. of California, Davis, CA (United States). Center for Quantum Mathetmatics and Physics (QMAP); Univ. of California, Davis (United States)
California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
Princeton Univ., NJ (United States). Joseph Henry Lab. of Physics

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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Research Organization:: Univ. of California, Davis (United States); California Inst of Technology, Pasadena (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)

Grant/Contract Number:: SC0009999; SC0011632

OSTI ID:: 1502409

Alternate ID(s):: OSTI ID: 22739288

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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