Lessons from the Ramond sector
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...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
SciPost
2020-11-01
|
Series: | SciPost Physics |
Online Access: | https://scipost.org/SciPostPhys.9.5.065 |
id |
doaj-f13db85535184bed81a07757f9695fcc |
---|---|
record_format |
Article |
spelling |
doaj-f13db85535184bed81a07757f9695fcc2020-11-25T04:00:17ZengSciPostSciPost Physics2542-46532020-11-019506510.21468/SciPostPhys.9.5.065Lessons from the Ramond sectorNathan Benjamin, Ying-Hsuan LinWe 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.https://scipost.org/SciPostPhys.9.5.065 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nathan Benjamin, Ying-Hsuan Lin |
spellingShingle |
Nathan Benjamin, Ying-Hsuan Lin Lessons from the Ramond sector SciPost Physics |
author_facet |
Nathan Benjamin, Ying-Hsuan Lin |
author_sort |
Nathan Benjamin, Ying-Hsuan Lin |
title |
Lessons from the Ramond sector |
title_short |
Lessons from the Ramond sector |
title_full |
Lessons from the Ramond sector |
title_fullStr |
Lessons from the Ramond sector |
title_full_unstemmed |
Lessons from the Ramond sector |
title_sort |
lessons from the ramond sector |
publisher |
SciPost |
series |
SciPost Physics |
issn |
2542-4653 |
publishDate |
2020-11-01 |
description |
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. |
url |
https://scipost.org/SciPostPhys.9.5.065 |
work_keys_str_mv |
AT nathanbenjaminyinghsuanlin lessonsfromtheramondsector |
_version_ |
1724451555820699648 |