Journal
SCIPOST PHYSICS
Volume 9, Issue 5, Pages -Publisher
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.9.5.065
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Funding
- Simons Foundation [488653]
- Sherman Fairchild Foundation
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
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We revisit the consistency of torus partition functions in (1+1)d fermionic conformal field theories, combining old 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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