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N=2 supersymmetric field theories on 3-manifolds with A-type boundaries

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
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. The Journal of High Energy Physics, 2016 (126), 1-64. (doi:10.1007/JHEP07(2016)126).

Record type: Article

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.

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More information

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

Identifiers

Local EPrints ID: 402119
URI: https://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: 18 Jul 2019 13:06

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