Benjamin, Nathan and Lin, Ying-Hsuan (2020) Lessons from the Ramond sector. SciPost Physics, 9 . Art. No. 65. ISSN 2542-4653. doi:10.21468/SciPostPhys.9.5.065. https://resolver.caltech.edu/CaltechAUTHORS:20200513-101504211
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Abstract
We revisit the consistency of torus partition functions in (1+1)d fermionic conformal field theories, combining traditional ingredients of modular invariance/covariance with a modernized understanding of bosonization/fermionization dualities. Various lessons can be learned by simply examining the oft-ignored Ramond sector. For several extremal/kinky modular functions in the bootstrap literature, we can either rule out or identify the underlying theory. We also revisit the N=1 Maloney-Witten partition function by calculating the spectrum in the Ramond sector, and further extending it to include the modular sum of seed Ramond characters. Finally, we perform the full N=1 RNS modular bootstrap and obtain new universal results on the existence of relevant deformations preserving different amounts of supersymmetry.
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| Additional Information: | © 2020 N. Benjamin and Y.-H. Lin. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 26-05-2020; Accepted 30-10-2020; Published 06-11-2020. We are grateful to Chi-Ming Chang, Scott Collier, Alex Maloney, Hirosi Ooguri, Eric Perlmutter, Shu-Heng Shao, David Simmons-Duffin, and Yifan Wang for interesting discussions, and to Jin-Beom Bae, Liam Fitzpatrick, Sungjay Lee, Shu-Heng Shao, and Jaewon Song for helpful comments on the draft. We thank the hospitality of the Bootstrap 2019 Conference at the Perimeter Institute for Theoretical Physics. NB is supported in part by the Simons Foundation Grant No. 488653. YL is supported by the Sherman Fairchild Foundation, and by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. | |||||||||
| Group: | Walter Burke Institute for Theoretical Physics | |||||||||
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| DOI: | 10.21468/SciPostPhys.9.5.065 | |||||||||
| Record Number: | CaltechAUTHORS:20200513-101504211 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200513-101504211 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 103173 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Joy Painter | |||||||||
| Deposited On: | 13 May 2020 17:37 | |||||||||
| Last Modified: | 16 Nov 2021 18:19 |
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