Branes, quivers and wave-functions
Taro Kimura, Miłosz Panfil, Yuji Sugimoto, Piotr Sułkowski
SciPost Phys. 10, 051 (2021) · published 26 February 2021
- doi: 10.21468/SciPostPhys.10.2.051
- Submissions/Reports
Abstract
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.
Cited by 7
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Taro Kimura,
- 2 Miłosz Panfil,
- 3 Yuji Sugimoto,
- 2 4 Piotr Sulkowski
- 1 Université Bourgogne Franche-Comté [UBFC]
- 2 Uniwersytet Warszawski / University of Warsaw [UW]
- 3 Ministry of Science and Technology of the People's Republic of China [MOST]
- 4 Walter Burke Institute for Theoretical Physics