Geometry and integrability of topological-antitopological fusion
Geometry and integrability of topological-antitopological fusion
复制标题
拓扑-反拓扑融合的几何和可积性
DOI：
--
复制
发表时间：
1992
期刊：
影响因子：
--
通讯作者：
B. Dubrovin
中科院分区：
文献类型：
--
作者：
B. Dubrovin
证明了描述基态度量的拓扑-反拓扑融合方程（Cecotti和Vafa提出）在给定二维拓扑场论模型上的可积性。对于大量TFT模型，这些方程通过规范变换简化为通用形式（与给定的TFT模型无关）。对于拓扑共形场论模型的大量摄动，用等构变形法求出了以无穷远为界的方程的分离矩阵解。并证明了基态度量和部分带下划线的TFT结构可以通过耦合空间到实正定二次型对称空间的多谐映射来参数化。
Integrability of equations of topological-antitopological fusion (being proposed by Cecotti and Vafa) describing the ground state metric on a given 2D topological field theory (TFT) model, is proved. For massive TFT models these equations are reduced to a universal form (being independent on the given TFT model) by gauge transformations. For massive perturbations of topological conformal field theory models the separatrix solutions of the equations bounded at infinity are found by the isomonodromy deformations method. Also it is shown that the ground state metric together with some part of the underlined TFT structure can be parametrized by pluriharmonic maps of the coupling space to the symmetric space of real positive definite quadratic forms.