Flat structures on the deformations of Gepner chiral rings

被引:4
作者
Belavin, Alexander [1 ,3 ]
Belavin, Vladimir [2 ,3 ,4 ]
机构
[1] LD Landau Inst Theoret Phys, Akad Semenova Av 1-A, Chernogolovka 142432, Moscow Region, Russia
[2] PN Lebedev Phys Inst, IE Tamm Dept Theoret Phys, Leninsky Av 53, Moscow 119991, Russia
[3] Inst Informat Transmiss Problems, Dept Quantum Phys, Bolshoy Karetny Per 19, Moscow 127994, Russia
[4] Moscow Inst Phys & Technol, Dolgoprudnyi 1417000, Moscow Region, Russia
基金
俄罗斯科学基金会;
关键词
2D Gravity; Conformal and W Symmetry; Conformal Field Models in String Theory; Topological Field Theories;
D O I
10.1007/JHEP10(2016)128
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We propose a simple method for the computation of the flat coordinates and Saito primitive forms on Frobenius manifolds of the deformations of Jacobi rings associated with isolated singularities. The method is based on using a conjecture about integral representations for the flat coordinates and on the Saito cohomology theory. This reduces the computation to a simple linear problem. We consider the case of the deformed Gepner chiral rings. The knowledge of the flat structures of Frobenius manifolds can be used for exact solution of the models of the topological conformal field theories corresponding to these chiral rings.
引用
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页数:29
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