Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference166 articles.
1. K.G. Wilson and M.E. Fisher, Critical exponents in 3.99 dimensions, Phys. Rev. Lett.
28 (1972) 240 [INSPIRE].
2. W.E. Caswell, Asymptotic Behavior of Nonabelian Gauge Theories to Two Loop Order, Phys. Rev. Lett.
33 (1974) 244 [INSPIRE].
3. T. Banks and A. Zaks, On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions, Nucl. Phys.
B 196 (1982) 189 [INSPIRE].
4. L. Fei, S. Giombi and I.R. Klebanov, Critical O(N) models in 6 − ϵ dimensions, Phys. Rev.
D 90 (2014) 025018 [arXiv:1404.1094] [INSPIRE].
5. P. Mati, Vanishing beta function curves from the functional renormalization group, Phys. Rev.
D 91 (2015) 125038 [arXiv:1501.00211] [INSPIRE].
Cited by
54 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献