Quantum Line Defects and Refined BPS Spectra
High Energy Physics - Theory
2019-10-24 v2 Mathematical Physics
math.MP
Abstract
In this note we study refined BPS invariants associated with certain quantum line defects in quantum field theories of class . Such defects can be specified via geometric engineering in the UV by assigning a path on a certain curve. In the IR they are described by framed BPS quivers. We study the associated BPS spectral problem, including the spin content. The relevant BPS invariants arise from the K-theoretic enumerative geometry of the moduli spaces of quiver representations, adapting a construction by Nekrasov and Okounkov. In particular refined framed BPS states are described via Euler characteristics of certain complexes of sheaves.
Keywords
Cite
@article{arxiv.1902.08586,
title = {Quantum Line Defects and Refined BPS Spectra},
author = {Michele Cirafici},
journal= {arXiv preprint arXiv:1902.08586},
year = {2019}
}
Comments
28 pages; presentation improved and corrections