We consider a class of line operators in d=4,N=2 supersymmetric field theories, which leave
four supersymmetries unbroken. Such line operators support a new class of BPS states …

We show how aspects of the R-charge of N= 2 CFTs in four dimensions are encoded in the q-
deformed Kontsevich-Soibelman monodromy operator, built from their dyon spectra. In …

A bstract Motivated by physical constructions of homological knot invariants, we study their
analogs for closed 3-manifolds. We show that fivebrane compactifications provide a …

We review a progress in obtaining the complete non-perturbative effective action of type II
string theory compactified on a Calabi–Yau manifold. This problem is equivalent to …

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 …

A bstract We introduce several families of\(\mathcal {N}=\left (2,\2\right)\) UV boundary
conditions in 3d\(\mathcal {N}= 4\) gaugetheoriesandstudytheirIRimagesinsigma …

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 …

Given a smooth complex threefold X, we define the virtual motive Hilb^n(X)_vir of the Hilbert
scheme of n points on X. In the case when X is Calabi–Yau, Hilb^n(X)_vir gives a motivic …

A bstract We find a new infinite class of infinite-dimensional algebras acting on BPS states
for non-compact toric Calabi-Yau threefolds. In Type IIA superstring compactification on a …

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 …