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Twisted Hilbert spaces of 3d supersymmetric gauge theories

Bullimore, Mathew; Ferrari, Andrea

Twisted Hilbert spaces of 3d supersymmetric gauge theories Thumbnail


Andrea Ferrari


We study aspects of 3d N=2 supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechanics on the line. We propose a construction of the space of supersymmetric ground states as a graded vector space in terms of a certain cohomology of generalized vortex moduli spaces on the Riemann surface. This exhibits a rich dependence on deformation parameters compatible with the topological twist, including superpotentials, real mass parameters, and background vector bundles associated to flavour symmetries. By matching spaces of supersymmetric ground states, we perform new checks of 3d abelian mirror symmetry.


Bullimore, M., & Ferrari, A. (2018). Twisted Hilbert spaces of 3d supersymmetric gauge theories. Journal of High Energy Physics, 2018(08), Article 018.

Journal Article Type Article
Acceptance Date Jul 30, 2018
Online Publication Date Aug 7, 2018
Publication Date Aug 7, 2018
Deposit Date Aug 16, 2018
Publicly Available Date Aug 16, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 08
Article Number 018


Published Journal Article (796 Kb)

Publisher Licence URL

Copyright Statement
© The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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