# Lessons from the Ramond sector

### Submission summary

 As Contributors: Nathan Benjamin · Ying-Hsuan Lin Arxiv Link: https://arxiv.org/abs/2005.02394v1 (pdf) Date submitted: 2020-05-26 Submitted by: Benjamin, Nathan Submitted to: SciPost Physics Discipline: Physics Subject area: High-Energy Physics - Theory Approach: Theoretical

### 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 ${\cal N} = 1$ 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 ${\cal N} = 1$ RNS modular bootstrap and obtain new universal results on the existence of relevant deformations preserving different amounts of supersymmetry.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 2005.02394v1 on 26 May 2020