A bstract We compute the Witten index of one-dimensional gauged linear sigma models with
at least\(\mathcal {N}\)= 2 supersymmetry. In the phase where the gauge group is broken to …

We derive a localization formula for the refined index of gauged quantum mechanics with
four supercharges. Our answer takes the form of a residue integral on the complexified …

A bstract We perform an exact localization calculation for the expectation values of Wilson-'t
Hooft line operators in\(\mathcal {N}= 2\) gauge theories on\({S^{{1}}}\times {\mathbb …

A bstract Middle cohomology states on the Higgs branch of supersymmetric quiver quantum
mechanics—also known as pure Higgs states—have recently emerged as possible …

A bstract In study of four-dimensional BPS states, quiver quantum mechanics plays a central
role. The Coulomb phases capture the multi-centered nature of such states, and are well …

Inspired by the split attractor flow conjecture for multi-centered black hole solutions in N= 2
supergravity, we propose a formula expressing the BPS index $\Omega (\gamma, z) $ in …

A bstract In previous work we have shown that the equivariant index of multi-
centered\(\mathcal {N}= 2\) black holes localizes on collinear configurations along a fixed …

A bstract We explore BPS quivers for D= 5 theories, compactified on a circle and
geometrically engineered over local Calabi-Yau 3-folds, for which many of known …

A bstract We provide a semiclassical description of framed BPS states in four-
dimensional\(\mathcal {N}= 2\) super Yang-Mills theories probed by't Hooft defects, in terms …

In recent series of works, by translating properties of multi-centered supersymmetric black
holes into the language of quiver representations, we proposed a formula that expresses the …