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Paper detail

Quiver Yangian and Supersymmetric Quantum Mechanics

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.

preprint2020arXivOpen access
Dmitry GalakhovMasahito Yamazaki
math.RTmath.QAmath.AGhep-th
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Dmitry GalakhovMasahito Yamazaki

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