Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
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.
Additional Information
© 2018 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 23, 2018; Accepted: February 22, 2018; Published: March 21, 2018. We are grateful to Daniel L. Jafferis, Hee-Cheol Kim, Igor R. Klebanov, Zohar Komargodski, Bruno Le Floch, Silviu S. Pufu, Nathan Seiberg, Shu-Heng Shao, David Simmons-Duffin, and Xi Yin for helpful discussions, and to Ori Ganor, Daniel L. Jafferis, Hee-Cheol Kim, and Igor R. Klebanov for comments on the first draft. CC, YL, and YW thank the Aspen Center for Physics, MF thanks the Simons Summer Workshop, and YL thanks National Taiwan University for hospitality during the course of this work. The numerical computations were performed on the Harvard Odyssey cluster and the Caltech high energy theory group cluster. We thank Tony Bartolotta for technical support with the Caltech cluster. CC is supported in part by the U.S. Department of Energy grant DESC0009999. MF is supported by the David and Ellen Lee Postdoctoral Scholarship, YL is supported by the Sherman Fairchild Foundation, and both MF and YL by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. YW is supported in part by the US NSF under Grant No. PHY-1620059 and by the Simons Foundation Grant No. 488653. This work was partially performed at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611. YW is also grateful to the Simons Collaboration on the Non-perturbative Bootstrap for generous support.Attached Files
Published - 10.1007_2FJHEP03_2018_123.pdf
Submitted - 1710.08418.pdf
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Additional details
- Eprint ID
- 82762
- Resolver ID
- CaltechAUTHORS:20171028-162925305
- DE-SC0009999
- Department of Energy (DOE)
- David and Ellen Lee Postdoctoral Scholarship
- Sherman Fairchild Foundation
- DE-SC0011632
- Department of Energy (DOE)
- PHY-1620059
- NSF
- 488653
- Simons Foundation
- PHY-1607611
- NSF
- SCOAP3
- Created
-
2017-10-29Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2017-030