A bstract Brane brick models are Type IIA brane configurations that encode the 2d\(\mathcal
{N}=\left (0, 2\right)\) gauge theories on the worldvolume of D1-branes probing toric Calabi …

We introduce a unified mathematical framework that elegantly describes minimally
supersymmetry gauge theories in even dimensions, ranging from six dimensions to zero …

A bstract We introduce Orbifold Reduction, a new method for generating 2d (0, 2) gauge
theories associated to D1-branes probing singular toric Calabi-Yau 4-folds starting from …

A bstract We introduce a new duality for\(\mathcal {N}\)= 1 supersymmetric gauged matrix
models. This 0d duality is an order 4 symmetry, namely an equivalence between four …

We discuss the realization of $2 d $$(0, 2) $ gauge theories in terms of branes focusing on
Brane Brick Models, which are T-dual to D1-branes probing toric Calabi-Yau 4-folds. These …

A bstract A graded quiver with superpotential is a quiver whose arrows are assigned
degrees c∈{0, 1,⋯, m}, for some integer m≥ 0, with relations generated by a superpotential …

Given a consistent bipartite graph Γ Γ in T^ 2 T 2 with a complex-valued edge weighting EE
we show the following two constructions are the same. The first is to form the Kasteleyn …

We show how to deform the map Log:(C⁎) n→ R n such that the image of the complex pair
of pants P∘⊂(C⁎) n is the tropical hyperplane by showing an (ambient) isotopy between …

A bstract The open string sector of the topological B-model on CY (m+ 2)-folds is de-scribed
by m-graded quivers with superpotentials. This correspondence extends to general m the …

We study perverse sheaves of categories their connections to classical algebraic geometry.
We show how perverse sheaves of categories encode naturally derived categories of …