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arXiv · 2008.07006

Quiver Yangian and Supersymmetric Quantum Mechanics

Dmitry Galakhov·Masahito Yamazaki
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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.

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Dmitry Galakhov, Masahito Yamazaki. 2020-08-16. Quiver Yangian and Supersymmetric Quantum Mechanics. https://doi.org/10.1007/s00220-022-04490-y

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