Abstract
Abstract We study three-dimensional $\mathcal{N}=2$ supersymmetric Chern—Simons matter theories on the direct product of a circle and a two-dimensional hemisphere ($S^1 \times {D^2}$) with specified boundary conditions by the method of localization. We construct boundary interactions to cancel the supersymmetric variation of the three-dimensional superpotential term and the Chern—Simons term and show inflows of the bulk—boundary anomalies. We find that the boundary conditions induce two-dimensional $\mathcal{N}=(0,2)$-type supersymmetry on the boundary torus. We also study the relation between the three-dimensional—two-dimensional coupled partition function of our model and three-dimensional holomorphic blocks.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.