We introduce new geometric objects called spectral networks. Spectral networks are
networks of trajectories on Riemann surfaces obeying certain local rules. Spectral networks …

We explore the relationship between four-dimensional N=2 quantum field theories and their
associated BPS quivers. For a wide class of theories including super-Yang-Mills theories …

The hypermultiplet moduli space MH in type II string theories compactified on a Calabi-Yau
threefold X is largely constrained by supersymmetry (which demands quaternion-Kählerity) …

We study the BPS spectra of N= 2 N= 2 complete quantum field theories in four dimensions.
For examples that can be described by a pair of M5 branes on a punctured Riemann surface …

A bstract We introduce a new wall-crossing formula which combines and generalizes the
Cecotti-Vafa and Kontsevich-Soibelman formulas for supersymmetric 2d and 4d systems …

A bstract We study half-BPS line operators in 3d\(\mathcal {N}\)= 4 gauge theories, focusing
in particular on the algebras of local operators at their junctions. It is known that there are …

A key question in the study of\(\mathcal {N}= 2\) supersymmetric string or field theories is to
understand the decay of BPS bound states across walls of marginal stability in the space of …

In view of classification of the quiver 4d supersymmetric gauge theories, we discuss the
characterization of the quivers with superpotential associated to a QFT which, in some …

A bstract There is a remarkable connection between the boundary structure of the positive
kinematic region and branch points of integrated amplitudes in planar\(\mathcal {N}\)= 4 …

A bstract We study the stability and spectrum of BPS states in\(\mathcal {N}\)= 2 supergravity.
We find evidence, and prove for a large class of cases, that BPS stability exhibits a certain …