Details

Autor(en) / Beteiligte

• Galakhov, Dmitry
• Yamazaki, Masahito

Titel

Quiver Yangian and Supersymmetric Quantum Mechanics

Ist Teil von

• Communications in mathematical physics, 2022-12, Vol.396 (2), p.713-785

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2022

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.