Kavli Affiliate: Masahito Yamazaki
| First 5 Authors: Dmitry Galakhov, Masahito Yamazaki, , ,
| Summary:
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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