Outputs (4)

3d N = 4 Gauge Theories on an Elliptic Curve (2022)
Journal Article
Bullimore, M., & Zhang, D. (2022). 3d N = 4 Gauge Theories on an Elliptic Curve. SciPost Physics, 13(1), Article 005. https://doi.org/10.21468/scipostphys.13.1.005

This paper studies 3d N = 4 supersymmetric gauge theories on an elliptic curve, with the aim to provide a physical realisation of recent constructions in equivariant elliptic cohomology of symplectic resolutions. We first study the Berry connection f... Read More about 3d N = 4 Gauge Theories on an Elliptic Curve.

The 3d twisted index and wall-crossing (2022)
Journal Article
Bullimore, M., Ferrari, A., & Kim, H. (2022). The 3d twisted index and wall-crossing. SciPost Physics, 12(6), Article 186. https://doi.org/10.21468/scipostphys.12.6.186

We study the twisted index of 3d N = 2 supersymmetric gauge theories on S 1 ×Σ in the presence of a real FI parameter deformation. This parameter induces a 1d FI parameter for the effective supersymmetric quantum mechanics on S 1 . Using supersymmetr... Read More about The 3d twisted index and wall-crossing.

The twisted index and topological saddles (2022)
Journal Article
Bullimore, M., Ferrari, A. E., Kim, H., & Xu, G. (2022). The twisted index and topological saddles. Journal of High Energy Physics, 2022(5), Article 116. https://doi.org/10.1007/jhep05%282022%29116

The twisted index of 3d N = 2 gauge theories on S 1 × Σ has an algebrogeometric interpretation as the Witten index of an effective supersymmetric quantum mechanics. In this paper, we consider the contributions to the supersymmetric quantum mechanics... Read More about The twisted index and topological saddles.

Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface (2022)
Journal Article
Bullimore, M., Ferrari, A., & Kim, H. (2022). Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface. SciPost Physics, 12(2), Article 072. https://doi.org/10.21468/scipostphys.12.2.072

This paper studies supersymmetric ground states of 3d N = 4 supersymmetric gauge theories on a Riemann surface of genus g . There are two distinct spaces of supersymmetric ground states arising from the A and B type twists on the Riemann surface, whi... Read More about Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface.