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Liberating confinement from Lagrangians: 1-form symmetries and lines in 4d N=1 from 6d N=(2,0)

Abstract:

We study confinement in 4d $\mathcal{N}$=1 theories obtained by deforming 4d $\mathcal{N}$=2 theories of Class S. We argue that confinement in a vacuum of the $\mathcal{N}$=1 theory is encoded in the 1-cycles of the associated $\mathcal{N}$=1 curve. This curve is the spectral cover associated to a generalized Hitchin system describing the profiles of two Higgs fields over the Riemann surface upon which the 6d (2,0) theory is compactified. Using our method, we reproduce the expected properties...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.21468/SciPostPhys.12.1.040

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-3547-9598
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Wadham College
Role:
Author
ORCID:
0000-0003-0138-0407
Publisher:
SciPost
Journal:
SciPost Physics More from this journal
Volume:
12
Article number:
040
Publication date:
2022-01-26
Acceptance date:
2021-12-08
DOI:
EISSN:
2542-4653
Language:
English
Keywords:
Pubs id:
1183527
Local pid:
pubs:1183527
Deposit date:
2022-01-30

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