N=2 supersymmetric field theories on 3-manifolds with A-type boundaries
N=2 supersymmetric field theories on 3-manifolds with A-type boundaries
General half-BPS A-type boundary conditions are formulated for N = 2 supersymmetric field theories on compact 3-manifolds with boundary. We observe that under suitable conditions manifolds of the real A-type admitting two complex supersymmetries (related by charge conjugation) possess, besides a contact structure, a natural integrable toric foliation. A boundary, or a general co-dimension-1 defect, can be inserted along any leaf of this preferred foliation to produce manifolds with boundary that have the topology of a solid torus. We show that supersymmetric field theories on such manifolds can be endowed with half-BPS A-type boundary conditions. We specify the natural curved space generalization of the A-type projection of bulk supersymmetries and analyze the resulting A-type boundary conditions in generic 3d non-linear sigma models and YM/CS-matter theories.
1-64
Aprile, Francesco
4e76060f-f02b-461d-acdf-162efebd9a49
Niarchos, Vasilis
17d966e8-1f00-4179-af57-05d5780e8ad7
July 2016
Aprile, Francesco
4e76060f-f02b-461d-acdf-162efebd9a49
Niarchos, Vasilis
17d966e8-1f00-4179-af57-05d5780e8ad7
Aprile, Francesco and Niarchos, Vasilis
(2016)
N=2 supersymmetric field theories on 3-manifolds with A-type boundaries.
Journal of High Energy Physics, 2016 (126), .
(doi:10.1007/JHEP07(2016)126).
Abstract
General half-BPS A-type boundary conditions are formulated for N = 2 supersymmetric field theories on compact 3-manifolds with boundary. We observe that under suitable conditions manifolds of the real A-type admitting two complex supersymmetries (related by charge conjugation) possess, besides a contact structure, a natural integrable toric foliation. A boundary, or a general co-dimension-1 defect, can be inserted along any leaf of this preferred foliation to produce manifolds with boundary that have the topology of a solid torus. We show that supersymmetric field theories on such manifolds can be endowed with half-BPS A-type boundary conditions. We specify the natural curved space generalization of the A-type projection of bulk supersymmetries and analyze the resulting A-type boundary conditions in generic 3d non-linear sigma models and YM/CS-matter theories.
Text
ABoundary_Paper_AprileNiarchos_v2.pdf
- Accepted Manuscript
Text
art_10.1007_JHEP07(2016)126.pdf
- Version of Record
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Accepted/In Press date: 10 July 2016
e-pub ahead of print date: 25 July 2016
Published date: July 2016
Organisations:
Theoretical Partical Physics Group
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Local EPrints ID: 402119
URI: http://eprints.soton.ac.uk/id/eprint/402119
PURE UUID: 12f26055-7f5b-4749-a8b1-18c7c9dac6a9
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Date deposited: 02 Nov 2016 12:01
Last modified: 15 Mar 2024 03:06
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Author:
Francesco Aprile
Author:
Vasilis Niarchos
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