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

Aprile, Francesco; Niarchos, Vasilis

Abstract

General half-BPS A-type boundary conditions are formulated for NN = 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.

Citation

Aprile, F., & Niarchos, V. (2016). N =2 supersymmetric field theories on 3-manifolds with A-type boundaries. Journal of High Energy Physics, 2016(7), Article 126. https://doi.org/10.1007/jhep07%282016%29126

• Journal Article Type: Article
• Acceptance Date: Jul 10, 2016
• Online Publication Date: Jul 25, 2016
• Publication Date: Jul 25, 2016
• Deposit Date: Oct 15, 2016
• Publicly Available Date: Dec 9, 2016
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2016
• Issue: 7
• Article Number: 126
• DOI: https://doi.org/10.1007/jhep07%282016%29126
• Public URL: https://durham-repository.worktribe.com/output/1395392