Branes, quivers and wave-functions - Archive ouverte HAL
Article Dans Une Revue SciPost Physics Année : 2021

Branes, quivers and wave-functions

Miłosz Panfil
  • Fonction : Auteur
Yuji Sugimoto
  • Fonction : Auteur
Piotr Sułkowski
  • Fonction : Auteur

Résumé

We consider a large class of branes in toric strip geometries, both non-periodic and periodic ones. For a fixed background geometry we show that partition functions for such branes can be reinterpreted, on one hand, as quiver generating series, and on the other hand as wave-functions in various polarizations. We determine operations on quivers, as well as $SL(2,\mathbb{Z})$ transformations, which correspond to changing positions of these branes. Our results prove integrality of BPS multiplicities associated to this class of branes, reveal how they transform under changes of polarization, and imply all other properties of brane amplitudes that follow from the relation to quivers.

Dates et versions

hal-03047619 , version 1 (08-12-2020)

Identifiants

Citer

Taro Kimura, Miłosz Panfil, Yuji Sugimoto, Piotr Sułkowski. Branes, quivers and wave-functions. SciPost Physics, 2021, 10 (2), pp.051. ⟨10.21468/SciPostPhys.10.2.051⟩. ⟨hal-03047619⟩
35 Consultations
0 Téléchargements

Altmetric

Partager

More