Presented By: Department of Mathematics
Geometry & Physics Seminar
From classical Weierstrass elliptic functions to quantum invariants
I will talk about a joint work with Si Li on the computation of higher genus B-model for elliptic curves.
I will first formulate the Feynman amplitudes in the higher genus B-model (Kodaira-Spencer theory) in terms of cohomological parings. Then I will discuss properties of the Feynman amplitudes, including the origin of their quasi-modularity, the geometric Interpretation of their modular completions, etc. Finally I explain the implication of the cohomological reformation in renormalization.
Our method mainly uses the basic theory of algebraic curves. It applies to a large class of two-dimensional conformal field theories and can hopefully find application in Eynard-Orantin topological recursion as well.
Speaker(s): Jie Zhou
I will first formulate the Feynman amplitudes in the higher genus B-model (Kodaira-Spencer theory) in terms of cohomological parings. Then I will discuss properties of the Feynman amplitudes, including the origin of their quasi-modularity, the geometric Interpretation of their modular completions, etc. Finally I explain the implication of the cohomological reformation in renormalization.
Our method mainly uses the basic theory of algebraic curves. It applies to a large class of two-dimensional conformal field theories and can hopefully find application in Eynard-Orantin topological recursion as well.
Speaker(s): Jie Zhou
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