Motives and periods in Bianchi IX gravity models
Letters in Mathematical Physics(2018)
摘要
We show that, when considering the anisotropic scaling factors and their derivatives as affine variables, the coefficients of the heat-kernel expansion of the Dirac–Laplacian on SU (2) Bianchi IX metrics are algebro-geometric periods of motives of complements in affine spaces of unions of quadrics and hyperplanes. We show that the motives are mixed Tate and we provide an explicit computation of their Grothendieck classes.
更多查看译文
关键词
Bianchi IX gravity model, Spectral action, Dirac–Laplacian, Heat kernel expansion, Periods, Motives, 58B34, 14C15, 83F05
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要