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DOE OSTI · 1706204

Lessons from the Ramond sector

Benjamin, Nathan·Lin, Ying-Hsuan
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Abstract

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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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSPhysics

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Benjamin, Nathan, Lin, Ying-Hsuan. 2020-11-06. Lessons from the Ramond sector. https://doi.org/10.21468/scipostphys.9.5.065

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