4 papers
Supergroup Gauged Linear Sigma Models and their Physical Mathematics
Arif Er, Zhangcheng Liu, Meng-Chwan Tan
We construct 2d gauged linear sigma models with supergauge group possibly with superpotential. Despite being nonunitary, one can still study…
Topological 5d Gauge Theories: Mirror Symmetry and Langlands Duality of -categories of Floer Homologies
Arif Er, Meng-Chwan Tan
We explain why on certain five-manifolds, topological 5d gauge theory of Haydys-Witten twist with gauge group , is dual to that of Geyer-Mülsch twist with gaug…
Topological Gauge Theories with Sixteen Supercharges: Higher -categorification of Floer Homologies
Arif Er, Meng-Chwan Tan
This work is a sequel to [arXiv:2410.18575], and a third and final installment of the program initiated in [arXiv:2311.18302]. We show how, via a 3d gauged Landau-Ginzburg model in…
Topological 8d Gauge Theory: Novel Floer Homologies, and -categories of Six, Five, and Four-Manifolds
Arif Er, Meng-Chwan Tan
This work is a continuation of the program initiated in [arXiv:2311.18302]. We show how one can define novel gauge-theoretic (holomorphic) Floer homologies of seven, six, and five-…