activity
20182024
most citedMirror symmetry and line operators

42 citations · 78 across the 10 of their papers we have counts for

collaborators

12 papers

hep-th2024★ 1 cited

Mirror Symmetry and Level-rank Duality for 3d Rank 0 SCFTs

Thomas Creutzig, Niklas Garner, Heeyeon Kim

We introduce a family of 3d superconformal field theories that have zero-dimensional Coulomb and Higgs branches and propose that the rational vertex operator alge…

hep-th2023★ 14 cited

Boundary vertex algebras for 3d rank-0 SCFTs

Andrea E. V. Ferrari, Niklas Garner, Heeyeon Kim

We initiate the study of boundary Vertex Operator Algebras (VOAs) of topologically twisted 3d rank-0 SCFTs. This is a recently introduced class of S…

math.QA2023★ 2 cited

Raviolo vertex algebras

Niklas Garner, Brian R. Williams

We develop an algebraic structure modeling local operators in a three-dimensional quantum field theory which is partially holomorphic and partially topological. The geometric space…

hep-th2023

Twistorial monopoles & chiral algebras

Niklas Garner, Natalie M. Paquette

We initiate the study of how the insertion of magnetically charged states in 4d self-dual gauge theories impacts the 2d chiral algebras supported on the celestial sphere at asympto…

hep-th2023★ 4 cited

Line Operators in Chern-Simons Theory

Niklas Garner, Wenjun Niu

We analyze the non-semisimple category of line operators in Chern-Simons gauge theories based off the Lie superalgebra . Our proposal is that the category of li…

hep-th2022

TASI Lectures on the Mathematics of String Dualities

Niklas Garner, Natalie M. Paquette

In these lecture proceedings, we describe some of the fundamental mathematical concepts that underlie supersymmetric string theory and field theory, and their role in describing an…

hep-th2022★ 5 cited

Twisted Formalism for 3d Theories

Niklas Garner

We describe the topological and twists of 3d theories of hypermultiplets gauged by vector multiplets as certain deformations of the holomorp…

hep-th2022

Vertex Operator Algebras and Topologically Twisted Chern-Simons-Matter Theories

Niklas Garner

We consider several topologically twisted Chern-Simons-matter theories and propose boundary VOAs whose module categories should model the category of line operators of the 3d bulk.…

hep-th2021

A QFT for non-semisimple TQFT

Thomas Creutzig, Tudor Dimofte, Niklas Garner +1

We construct a family of 3d quantum field theories that conjecturally provide a physical realization -- and derived generalization -- of non-semisimple mathema…

math.AG2020

Generalized affine Springer theory and Hilbert schemes on planar curves

Niklas Garner, Oscar Kivinen

We show that Hilbert schemes of planar curve singularities and their parabolic variants can be interpreted as certain generalized affine Springer fibers for , as defined by G…

hep-th2019★ 42 cited

Mirror symmetry and line operators

Tudor Dimofte, Niklas Garner, Michael Geracie +1

We study half-BPS line operators in 3d N=4 gauge theories, focusing in particular on the algebras of local operators at their junctions. It is known that there are two basic types…

hep-th2018★ 10 cited

Coulomb Branches of Star-Shaped Quivers

Tudor Dimofte, Niklas Garner

We study the Coulomb branches of 3d N=4 `star-shaped' quiver gauge theories and their deformation quantizations, by applying algebraic techniques that have been developed in the ma…