# Journal article

## Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence

Abstract:

By incorporating higher-form symmetries, we propose a refined definition of the theories obtained by compactification of the 6d $(2,0)$ theory on a three-manifold $M_3$. This generalization is applicable to both the 3d $\mathcal{N}=2$ and $\mathcal{N}=1$ supersymmetric reductions. An observable that is sensitive to the higher-form symmetries is the Witten index, which can be computed by counting solutions to a set of Bethe equations that are determined by $M_3$. This is carried out in detail ...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Version of record, 1.3MB)
Publisher copy:
10.1007/JHEP01(2020)101

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Department:
Mathematical Institute
Oxford college:
Role:
Author
ORCID:
0000-0003-0138-0407
Publisher:
Springer Publisher's website
Journal:
Journal of High Energy Physics Journal website
Volume:
2020
Article number:
101
Publication date:
2020-01-17
Acceptance date:
2020-01-02
DOI:
EISSN:
1029-8479
ISSN:
1126-6708
Language:
English
Keywords:
Pubs id:
pubs:1069518
UUID:
uuid:882ca4db-6454-45ef-8665-e704c0494b61
Local pid:
pubs:1069518
Source identifiers:
1069518
Deposit date:
2020-01-13