Outputs (28)

Generalized symmetries and anomalies of 3d N = 4 SCFTs (2024)
Journal Article
Bhardwaj, L., Bullimore, M., Ferrari, A. E. V., & Schäfer-Nameki, S. (2024). Generalized symmetries and anomalies of 3d N = 4 SCFTs. SciPost Physics, 16(3), Article 080. https://doi.org/10.21468/scipostphys.16.3.080

We study generalized global symmetries and their 't Hooft anomalies in 3d N=4 superconformal field theories (SCFTs). Following some general considerations, we focus on good quiver gauge theories, comprised of balanced unitary nodes and unbalanced uni... Read More about Generalized symmetries and anomalies of 3d N = 4 SCFTs.

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.

Boundaries, Vermas and factorisation (2021)
Journal Article
Bullimore, M., Crew, S., & Zhang, D. (2021). Boundaries, Vermas and factorisation. Journal of High Energy Physics, 2021(4), Article 263. https://doi.org/10.1007/jhep04%282021%29263

We revisit the factorisation of supersymmetric partition functions of 3d N = 4 gauge theories. The building blocks are hemisphere partition functions of a class of UV N = (2, 2) boundary conditions that mimic the presence of isolated vacua at infinit... Read More about Boundaries, Vermas and factorisation.

Secondary products in supersymmetric field theory (2020)
Journal Article
Beem, C., Ben-Zvi, D., Bullimore, M., Dimofte, T., & Neitzke, A. (2020). Secondary products in supersymmetric field theory. Annales Henri Poincaré, 21(4), 1235-1310. https://doi.org/10.1007/s00023-020-00888-3

The product of local operators in a topological quantum field theory in dimension greater than one is commutative, as is more generally the product of extended operators of codimension greater than one. In theories of cohomological type, these commut... Read More about Secondary products in supersymmetric field theory.

Twisted indices of 3d N = 4 gauge theories and enumerative geometry of quasi-maps (2019)
Journal Article
Bullimore, M., Ferrari, A., & Kim, H. (2019). Twisted indices of 3d N = 4 gauge theories and enumerative geometry of quasi-maps. Journal of High Energy Physics, 2019(7), Article 14. https://doi.org/10.1007/jhep07%282019%29014

We explore the geometric interpretation of the twisted index of 3d N = 4 gauge theories on S 1 × Σ where Σ is a closed Riemann surface. We focus on a rich class of supersymmetric quiver gauge theories that have isolated vacua under generic mass and F... Read More about Twisted indices of 3d N = 4 gauge theories and enumerative geometry of quasi-maps.

Vortices and Vermas (2018)
Journal Article
Bullimore, M., Dimofte, T., Gaiotto, D., Hilburn, J., & Kim, H. (2018). Vortices and Vermas. Advances in Theoretical and Mathematical Physics, 22(4), 803-917. https://doi.org/10.4310/atmp.2018.v22.n4.a1

In three-dimensional gauge theories, monopole operators create and destroy vortices. We explore this idea in the context of 3d N=4 gauge theories in the presence of an Ω-background. In this case, monopole operators generate a non-commutative algebra... Read More about Vortices and Vermas.

Twisted Hilbert spaces of 3d supersymmetric gauge theories (2018)
Journal Article
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

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 constru... Read More about Twisted Hilbert spaces of 3d supersymmetric gauge theories.