Quiver Yangian from crystal melting

Journal of High Energy Physics

Wei Li¹  Masahito Yamazaki² 

[1] Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, P.R. China;Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, 277-8583, Kashiwa, Chiba, Japan;

关键词: Conformal and W Symmetry;    D-branes;    Quantum Groups;    Supersymmetric Gauge Theory;   

DOI  :  10.1007/JHEP11(2020)035

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY