Branes, quivers and wave-functions

Kimura, Taro; Panfil, Miłosz; Sugimoto, Yuji; Sulkowski, Piotr

doi:10.21468/SciPostPhys.10.2.051

SciPost Physics

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
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.2.051
TI  - Branes, quivers and wave-functions
PY  - 2021/02/26
UR  - https://scipost.org/SciPostPhys.10.2.051
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 2
SP  - 051
A1  - Kimura, Taro
AU  - Panfil, Miłosz
AU  - Sugimoto, Yuji
AU  - Sulkowski, Piotr
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.10.2.051,
	title={{Branes, quivers and wave-functions}},
	author={Taro Kimura and Miłosz Panfil and Yuji Sugimoto and Piotr Sułkowski},
	journal={SciPost Phys.},
	volume={10},
	pages={051},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.2.051},
	url={https://scipost.org/10.21468/SciPostPhys.10.2.051},
}

Cited by 7

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¹ Taro Kimura,
² Miłosz Panfil,
³ Yuji Sugimoto,
² ⁴ Piotr Sulkowski

Funders for the research work leading to this publication