Exponential networks and representations of quivers

• Verfasst von: Eager, Richard [VerfasserIn]
• Verfasst von: Selmani, Sam Alexandre [VerfasserIn]
• Verfasst von: Walcher, Johannes [VerfasserIn]
• Titel: Exponential networks and representations of quivers
• Verf.angabe: Richard Eager, Sam Alexandre Selmani and Johannes Walcher
• E-Jahr: 2017
• Jahr: August 17, 2017
• Umfang: 68 S.
• Fussnoten: Gesehen am 25.02.2020
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2017
• Band/Heft Quelle: (2017,08) Artikel-Nummer 063, 68 Seiten
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP08(2017)063
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1569768250

Abstract

We study the geometric description of BPS states in supersymmetric theories with eight supercharges in terms of geodesic networks on suitable spectral curves. We lift and extend several constructions of Gaiotto-Moore-Neitzke from gauge theory to local Calabi-Yau threefolds and related models. The differential is multi-valued on the covering curve and features a new type of logarithmic singularity in order to account for D0-branes and non-compact D4-branes, respectively. We describe local rules for the three-way junctions of BPS trajectories relative to a particular framing of the curve. We reproduce BPS quivers of local geometries and illustrate the wall-crossing of finite-mass bound states in several new examples. We describe first steps toward understanding the spectrum of framed BPS states in terms of such “exponential networks”.