210 citations · 1.9k across the 56 of their papers we have counts for
58 papers
Quantum Elliptic Cohomology From Four-Dimensional Minimal Supersymmetric Gauge Theories
Ilka Brunner, Peng Cheng, Hans Jockers
In this paper, we study non-perturbative vortex partition functions of four-dimensional N=1 supersymmetric gauge theories on the space-time geometry , and we propos…
Truncated affine Rozansky--Witten models as extended defect TQFTs
Ilka Brunner, Nils Carqueville, Pantelis Fragkos +1
We apply the cobordism hypothesis with singularities to the case of affine Rozansky--Witten models, providing a construction of extended TQFTs that includes all line and surface de…
Truncated affine Rozansky--Witten models as extended TQFTs
Ilka Brunner, Nils Carqueville, Daniel Roggenkamp
We construct extended TQFTs associated to Rozansky--Witten models with target manifolds . The starting point of the construction is the 3-category whose objects ar…
Holomorphic boundary conditions for topological field theories via branes in twisted supergravity
Ilka Brunner, Ioannis Lavdas, Ingmar Saberi
Three-dimensional supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve supersymmetry. While…
Defects and phase transitions to geometric phases of abelian GLSMs
Ilka Brunner, Lukas Krumpeck, Daniel Roggenkamp
We consider gauged linear sigma models with gauge group U(1) that exhibit a geometric as well as a Landau Ginzburg phase. We construct defects that implement the transport of D-bra…
Phase transitions in GLSMs and defects
Ilka Brunner, Fabian Klos, Daniel Roggenkamp
In this paper, we construct defects (domain walls) that connect different phases of two-dimensional gauged linear sigma models (GLSMs), as well as defects that embed those phases i…