3 papers
math-ph2026
Generalized Kontsevich model, topological recursion, and -spin theory
Shuai Guo, Ce Ji, Chenglang Yang +1
By employing polynomial-reduced KP integrability, combined with the string equation, this work establishes explicit relationships between the generalized Kontsevich model, the topo…
math-ph2025
A generalization of the Witten conjecture through spectral curve
Shuai Guo, Ce Ji, Qingsheng Zhang
We propose a generalization of the Witten conjecture, which connects a descendent enumerative theory with a specific reduction of KP integrable hierarchy. Our conjecture is realize…
math-ph2025
The bilinear fermionic form for KP and BKP hierarchies
Shuai Guo, Ce Ji, Chenglang Yang
For a tau-function of the KP or BKP hierarchy, we introduce the notion of lifting operator and derive an equation connecting the corresponding fermionic two-point function and ferm…