STABILITY CONDITIONS AND THE MIRROR SYMMETRY OF K3 SURFACES IN ATTRACTOR BACKGROUNDS  

作　　者：卢文轩 Wenxuan LU(School of Mathematics and Statistics,Yunnan University,Kunming,650091,China)

机构地区：[1]School of Mathematics and Statistics,Yunnan University,Kunming,650091,China

出　　处：《Acta Mathematica Scientia》2023年第3期1007-1030,共24页数学物理学报（B辑英文版）

摘　　要：We study the space of stability conditions on K3 surfaces from the perspective of mirror symmetry. This is done in the attractor backgrounds(moduli). We find certain highly non-generic behaviors of marginal stability walls(a key notion in the study of wall crossings)in the space of stability conditions. These correspond via mirror symmetry to some nongeneric behaviors of special Lagrangians in an attractor background. The main results can be understood as a mirror correspondence in a synthesis of the homological mirror conjecture and SYZ mirror conjecture.

关 键 词：mirror symmetry stability conditions K3 surfaces attractor mechanism 

分 类 号：O186.11[理学—数学]