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arXiv · 1902.08586

Quantum Line Defects and Refined BPS Spectra

Michele Cirafici
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Abstract

In this note we study refined BPS invariants associated with certain quantum line defects in quantum field theories of class $\mathcal{S}$. 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.

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Michele Cirafici. 2019-10-23. Quantum Line Defects and Refined BPS Spectra. https://doi.org/10.1007/s11005-019-01226-3

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