139 citations · 637 across the 32 of their papers we have counts for
35 papers
Spherical DAHA as an algebra of framed BPS states
Kunal Gupta, Pietro Longhi
Line operators of 4d theories of class of type in a half Omega background provide a physical model for skein algebras. In this paper…
Quivers and BPS states in 3d and 4d
Piotr Kucharski, Pietro Longhi, Dmitry Noshchenko +2
We propose a symmetrization relation between BPS quivers encoding 4d theories and symmetric quivers associated to 3d theories. We analyse in detail…
The worldsheet skein D-module and basic curves on Lagrangian fillings of the Hopf link conormal
Tobias Ekholm, Pietro Longhi, Lukas Nakamura
HOMFLYPT polynomials of knots in the 3-sphere in symmetric representations satisfy recursion relations. Their geometric origin is holomorphic curves at infinity on knot conormals t…
Vortices on Cylinders and Warped Exponential Networks
Kunal Gupta, Pietro Longhi
We study 3d Chern-Simons-matter QFT on a cylinder . The topology of gives rise to BPS sectors of low-energy solitons known as kinky vo…
Monodromies of Second Order -difference Equations from the WKB Approximation
Fabrizio Del Monte, Pietro Longhi
This paper studies the space of monodromy data of second order -difference equations through the framework of WKB analysis. We compute the connection matrices associated to the…
Modelling -branes with foliations
Sibasish Banerjee, Pietro Longhi, Mauricio Romo
A certain class of -branes in mirrors of toric Calabi-Yau threefolds can be described through the framework of foliations. This allows to develop an explicit description of thei…