Quiver Yangian and Supersymmetric Quantum Mechanics
High Energy Physics - Theory
2022-09-07 v2 Algebraic Geometry
Quantum Algebra
Representation Theory
Abstract
The statistical model of crystal melting represents BPS configurations of D-branes on a toric Calabi-Yau three-fold. Recently it has been noticed that an infinite-dimensional algebra, the quiver Yangian, acts consistently on the crystal-melting configurations. We physically derive the algebra and its action on the BPS states, starting with the effective supersymmetric quiver quantum mechanics on the D-brane worldvolume. This leads to remarkable combinatorial identities involving equivariant integrations on the moduli space of the quantum mechanics, which can be checked by numerical computations.
Cite
@article{arxiv.2008.07006,
title = {Quiver Yangian and Supersymmetric Quantum Mechanics},
author = {Dmitry Galakhov and Masahito Yamazaki},
journal= {arXiv preprint arXiv:2008.07006},
year = {2022}
}
Comments
87 pages, 8 figures