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.

Quantum line defects and refined BPS spectra

Cirafici, Michele
2019-01-01

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.
2019
11-ott-2019
Epub ahead of print
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2951641
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