伪超Kahler几何与广义Kahler几何
Pseudo-hyperkahler Geometry and Generalized Kahler Geometry
摘要：
讨论了由一个左半手征超场和一个右半手征超场描述的N =（2，2）超对称非线性西格玛模型的附加超对称性和扭曲超对称性的条件.重点是这些领域的线性非显式变换，具有关闭外壳的代数。我们发现，额外的线性超对称没有有趣的解决方案，而额外的线性扭曲超对称有有趣的几何性质的解决方案。我们解决的作用不变性的条件，并表明，这些解决方案对应于签名（2，2）和伪hyperkaehler几何的目标空间的双厄米度量。
英文摘要：
We discuss the conditions for additional supersymmetry and twisted supersymmetry in N = (2, 2) supersymmetric non-linear sigma models described by one left and one right semi-chiral superfield and carrying a pair of non-commuting complex structures. Focus is on linear non-manifest transformations of these fields that have an algebra that closes off-shell. We find that additional linear supersymmetry has no interesting solution, whereas additional linear twisted supersymmetry has solutions with interesting geometrical properties. We solve the conditions for invariance of the action and show that these solutions correspond to a bi-hermitian metric of signature (2, 2) and a pseudo-hyperkaehler geometry of the target space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
