Outputs (3)

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.

Three-Dimensional N = 4 Gauge Theories in Omega Background (2018)
Conference Proceeding
Bullimore, M. (2018). Three-Dimensional N = 4 Gauge Theories in Omega Background. In A. Kashani-Poor, R. Minasian, N. Nekrasov, & B. Pioline (Eds.), String-Math 2016 : June 27-July 2, 2016, Collège de France, Paris, France (1-20)

We review the description of three-dimensional gauge theories with N = 4 supersymmetry in the presence of an omega background as an N = 4 supersymmetric quantum mechanics. We will focus throughout on a simple abelian example. The Hilbert space of sup... Read More about Three-Dimensional N = 4 Gauge Theories in Omega Background.