☆ 4.4 Article

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

JOURNAL OF HIGH ENERGY PHYSICS (2018)

期刊

JOURNAL OF HIGH ENERGY PHYSICS

卷 -, 期 3, 页码 -

出版社

SPRINGER

DOI: 10.1007/JHEP03(2018)123

关键词

Anomalies in Field and String Theories; Conformal Field Theory; Solitons Monopoles and Instantons; Supersymmetric Gauge Theory

类别

Physics, Particles & Fields

资金

U.S. Department of Energy [DE-SC0009999]
David and Ellen Lee Postdoctoral Scholarship
Sherman Fairchild Foundation
U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
US NSF [PHY-1620059]
Simons Foundation [488653]
National Science Foundation [PHY-1607611]
Simons Collaboration on the Non-perturbative Bootstrap
Direct For Mathematical & Physical Scien
Division Of Physics [1620059] Funding Source: National Science Foundation

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Reagent

摘要

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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