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Lessons from the Ramond sector

by Nathan Benjamin, Ying-Hsuan Lin

Submission summary

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


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

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