Published August 2017
| Published + Submitted
Journal Article
Open
Carving Out the End of the World or (Superconformal Bootstrap in Six Dimensions)
- Creators
- Chang, Chi-Ming
- Lin, Ying-Hsuan
Chicago
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Abstract
We bootstrap N=(1,0) superconformal field theories in six dimensions, by analyzing the four-point function of flavor current multiplets. Assuming E_8 flavor group, we present universal bounds on the central charge C_T and the flavor central charge C_J. Based on the numerical data, we conjecture that the rank-one E-string theory saturates the universal lower bound on C_J, and numerically determine the spectrum of long multiplets in the rank-one E-string theory. We comment on the possibility of solving the higher-rank E-string theories by bootstrap and thereby probing M-theory on AdS_7×S^4/ℤ_2.
Additional Information
© 2017 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: May 26, 2017; Accepted: August 5, 2017; Published: August 29, 2017. We are grateful to Matteo Beccaria, Clay Córdova, Thomas T. Dumitrescu, Ori Ganor, Hee-Cheol Kim, Petr Kravchuk, Luca V. Iliesiu, Kenneth Intriligator, Silviu S. Pufu, Tom Rudelius, Arkady A. Tseytlin, Yifan Wang, Xi Yin, and Yang Zhou for insightful discussions, and to Yifan Wang for comments on the first draft. CC thanks the California Institute of Technology and Harvard University, and YL thanks Yale University, the Center for Quantum Mathematics and Physics at University of California, Davis, the University of Amsterdam, and Princeton University for hospitality during the course of this work. The numerical computations were performed on the Harvard Odyssey cluster, the UC Davis Peloton cluster, and the Caltech high energy theory group cluster. We thank Tony Bartolotta for technical support with the Caltech cluster. YL is supported by the Sherman Fairchild Foundation and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. Lastly, the discoveries in this paper would not have been possible without John's foundational work on string theory, and we wish John a very happy birthday!Attached Files
Published - 10.1007_2FJHEP08_2017_128.pdf
Submitted - 1705.05392.pdf
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10.1007_2FJHEP08_2017_128.pdf
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Additional details
- Eprint ID
- 77560
- Resolver ID
- CaltechAUTHORS:20170518-094204448
- Sherman Fairchild Foundation
- Department of Energy (DOE)
- DE-SC0011632
- SCOAP3
- Created
-
2017-05-18Created from EPrint's datestamp field
- Updated
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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
- 2017-015