The Coulomb Branch of 3d Theories

M Bullimore, T Dimofte, D Gaiotto - Communications in Mathematical …, 2017 - Springer
We propose a construction for the quantum-corrected Coulomb branch of a general 3d
gauge theory with N= 4 N= 4 supersymmetry, in terms of local coordinates associated with …

Boundaries, mirror symmetry, and symplectic duality in 3d gauge theory

M Bullimore, T Dimofte, D Gaiotto, J Hilburn - Journal of High Energy …, 2016 - Springer
A bstract We introduce several families of\(\mathcal {N}=\left (2,\2\right)\) UV boundary
conditions in 3d\(\mathcal {N}= 4\) gaugetheoriesandstudytheirIRimagesinsigma …

Mirror symmetry and line operators

T Dimofte, N Garner, M Geracie, J Hilburn - Journal of High Energy Physics, 2020 - Springer
A bstract We study half-BPS line operators in 3d\(\mathcal {N}\)= 4 gauge theories, focusing
in particular on the algebras of local operators at their junctions. It is known that there are …

Deformation quantization and superconformal symmetry in three dimensions

C Beem, W Peelaers, L Rastelli - Communications in Mathematical …, 2017 - Springer
We investigate the structure of certain protected operator algebras that arise in three-
dimensional N= 4 N= 4 superconformal field theories. We find that these algebras can be …

Coulomb branch operators and mirror symmetry in three dimensions

M Dedushenko, Y Fan, SS Pufu, R Yacoby - Journal of High Energy …, 2018 - Springer
A bstract We develop new techniques for computing exact correlation functions of a class of
local operators, including certain monopole operators, in three-dimensional\(\mathcal {N} …

Equivariant Verlinde formula from fivebranes and vortices

S Gukov, D Pei - Communications in Mathematical Physics, 2017 - Springer
Abstract We study complex Chern–Simons theory on a Seifert manifold M 3 by embedding it
into string theory. We show that complex Chern–Simons theory on M 3 is equivalent to a …

Vortices and vermas

M Bullimore, T Dimofte, D Gaiotto, J Hilburn… - arxiv preprint arxiv …, 2016 - arxiv.org
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 Omega …

Webs of W-algebras

T Procházka, M Rapčák - Journal of High Energy Physics, 2018 - Springer
A bstract We associate vertex operator algebras to (p, q)-webs of interfaces in the
topologically twisted\(\mathcal {N}= 4\) super Yang-Mills theory. Y-algebras associated to …

Secondary products in supersymmetric field theory

C Beem, D Ben-Zvi, M Bullimore, T Dimofte… - Annales Henri …, 2020 - Springer
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 …

Coulomb branch quantization and abelianized monopole bubbling

M Dedushenko, Y Fan, SS Pufu, R Yacoby - Journal of High Energy …, 2019 - Springer
A bstract We develop an approach to the study of Coulomb branch operators in 3D\(\mathcal
{N}\)= 4 gauge theories and the associated quantization structure of their Coulomb …