Professor Mathew Bullimore mathew.r.bullimore@durham.ac.uk
Early Career Fellowship
Twisted Hilbert spaces of 3d supersymmetric gauge theories
Bullimore, Mathew; Ferrari, Andrea
Authors
Andrea Ferrari
Abstract
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.
Citation
Bullimore, M., & Ferrari, A. (2018). Twisted Hilbert spaces of 3d supersymmetric gauge theories. Journal of High Energy Physics, 2018(08), Article 018. https://doi.org/10.1007/jhep08%282018%29018
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 | Mar 29, 2024 |
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 |
DOI | https://doi.org/10.1007/jhep08%282018%29018 |
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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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