论文标题
从水晶熔化的Quiver Yangian
Quiver Yangian from Crystal Melting
论文作者
论文摘要
我们发现，一种新的无限二维代数，作用于BPS状态，可用于非紧密的曲曲曲霉三倍。在IIA型SuperString紧凑型在三倍的Calabi-yau上，D-BRANES包裹全态循环代表BPS状态，BPS状态的模量空间的固定点通过晶体融化的统计配置来描述。我们的代数是从熔融晶体构型中“自举”的，因此它们作用于BPS状态。我们讨论了代数的截断及其与D4-branes的关系。我们在许多示例中说明了我们的结果，其中有和没有紧凑的$ 4 $ CYCLES。
We find a new infinite class of infinite-dimensional algebras acting on BPS states for non-compact toric Calabi-Yau threefolds. In Type IIA superstring compactification on a toric Calabi-Yau threefold, the D-branes wrapping holomorphic cycles represent the BPS states, and the fixed points of the moduli spaces of BPS states are described by statistical configurations of crystal melting. Our algebras are "bootstrapped" from the molten crystal configurations, hence they act on the BPS states. We discuss the truncation of the algebra and its relation with D4-branes. We illustrate our results in many examples, with and without compact $4$-cycles.
