论文标题
出生的Sigma模型中的复杂结构，T偶尔性和世界表激体款
Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
论文作者
论文摘要
我们调查了$ 2D $维生的几何形状中的两倍（广义）复杂结构，其中T-偶尔对称性显然已实现。我们表明，时空的Kähler，Hyperkähler，Bi-Hermitian和Bi-Hyperclex结构在出生的几何形状中以两倍的结构实现。我们发现，天生的结构和广义的kähler（Hyperkähler）结构似乎是双重试验和分裂 - Quathernions的子代数。我们发现这些结构的一部分由Clifford代数分类。然后，我们在出生的Sigma模型中研究了世界表Istantons的T偶性性质。我们表明，凯勒（Kähler）几何形状中的intsantons以非平凡的方式与Bi-Hermitian几何形状有关。
We investigate doubled (generalized) complex structures in $2D$-dimensional Born geometries where T-duality symmetry is manifestly realized. We show that Kähler, hyperkähler, bi-hermitian and bi-hypercomplex structures of spacetime are implemented in Born geometries as doubled structures. We find that the Born structures and the generalized Kähler (hyperkähler) structures appear as subalgebras of bi-quaternions and split-tetra-quaternions. We find parts of these structures are classified by Clifford algebras. We then study the T-duality nature of the worldsheet instantons in Born sigma models. We show that the instantons in Kähler geometries are related to those in bi-hermitian geometries in a non-trivial way.
