Arif Er

collaborators

4 papers

hep-th2026

Topological 8d $N = 1$ Gauge Theory: Novel Floer Homologies, and $A_{\infty}$ -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-…

hep-th2026

Topological 5d $N = 2$ Gauge Theories: Mirror Symmetry and Langlands Duality of $A_{\infty}$ -categories of Floer Homologies

Arif Er, Meng-Chwan Tan

We explain why on certain five-manifolds, topological 5d $N = 2$ gauge theory of Haydys-Witten twist with gauge group $G$ , is dual to that of Geyer-MÃ¼lsch twist with gau…

hep-th2025

Topological Gauge Theories with Sixteen Supercharges: Higher $A_{\infty}$ -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…

hep-th2025

Topological 5d $N = 2$ Gauge Theory: Novel Floer Homologies, their Dualities, and an $A_{\infty}$ -category of Three-Manifolds

Arif Er, Zhi-Cong Ong, Meng-Chwan Tan

We show how one can define novel gauge-theoretic Floer homologies of four, three, and two-manifolds from the physics of a certain topologically-twisted 5d $N = 2$ gauge theory…

Topological 8d N=1 Gauge Theory: Novel Floer Homologies, and A∞​-categories of Six, Five, and Four-Manifolds

Topological 5d N=2 Gauge Theories: Mirror Symmetry and Langlands Duality of A∞​-categories of Floer Homologies

Topological Gauge Theories with Sixteen Supercharges: Higher A∞​-categorification of Floer Homologies

Topological 5d N=2 Gauge Theory: Novel Floer Homologies, their Dualities, and an A∞​-category of Three-Manifolds

Topological 8d $N = 1$ Gauge Theory: Novel Floer Homologies, and $A_{\infty}$ -categories of Six, Five, and Four-Manifolds

Topological 5d $N = 2$ Gauge Theories: Mirror Symmetry and Langlands Duality of $A_{\infty}$ -categories of Floer Homologies

Topological Gauge Theories with Sixteen Supercharges: Higher $A_{\infty}$ -categorification of Floer Homologies

Topological 5d $N = 2$ Gauge Theory: Novel Floer Homologies, their Dualities, and an $A_{\infty}$ -category of Three-Manifolds