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Title: 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.

Authors:
 [1];  [2]; ORCiD logo [2];  [3]
  1. Univ. of California, Davis, CA (United States). Center for Quantum Mathetmatics and Physics (QMAP)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
  3. Princeton Univ., NJ (United States). Joseph Henry Lab. of Physics
Publication Date:
Research Org.:
Univ. of California, Davis (United States); California Inst of Technology, Pasadena (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
OSTI Identifier:
1502409
Grant/Contract Number:  
SC0009999; SC0011632; PHY-1607611
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Anomalies in Field and String Theories; Conformal Field Theory; Solitons Monopoles and Instantons; Supersymmetric Gauge Theory

Citation Formats

Chang, Chi-Ming, Fluder, Martin, Lin, Ying-Hsuan, and Wang, Yifan. Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey. United States: N. p., 2018. Web. doi:10.1007/jhep03(2018)123.
Chang, Chi-Ming, Fluder, Martin, Lin, Ying-Hsuan, & Wang, Yifan. Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey. United States. doi:10.1007/jhep03(2018)123.
Chang, Chi-Ming, Fluder, Martin, Lin, Ying-Hsuan, and Wang, Yifan. Wed . "Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey". United States. doi:10.1007/jhep03(2018)123. https://www.osti.gov/servlets/purl/1502409.
@article{osti_1502409,
title = {Spheres, charges, instantons, and bootstrap: A five-dimensional odyssey},
author = {Chang, Chi-Ming and Fluder, Martin and Lin, Ying-Hsuan and Wang, Yifan},
abstractNote = {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.},
doi = {10.1007/jhep03(2018)123},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 3,
volume = 2018,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
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