论文标题
Quiver Yangian和超对称量子力学
Quiver Yangian and Supersymmetric Quantum Mechanics
论文作者
论文摘要
晶体熔化的统计模型代表了三倍的calabi-yau上D型晶体的BPS构型。最近，人们注意到，无限维代数（Quiver Yangian）持续作用在晶体融合构型上。我们从物理上得出了代数及其对BPS状态的作用，从D-Brane WorldVolume上的有效超对称Quiver量子力学开始。这导致了涉及量子力学模量空间上涉及的含量积分的显着组合身份，可以通过数值计算检查。
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.
