5 papers · 1 filter
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…
The -Point Function of -Core Partitions and Topological Vertex
Chenglang Yang
In this paper, we study the -point function of -core partitions. The main tool is the topological vertex, originally developed to study the topological string theory for tori…
Total partition function with fermionic number fluxes of local toric Calabi--Yau threefold and KP integrability
Zhiyuan Wang, Chenglang Yang, Jian Zhou
Aganagic, Dijkgraaf, Klemm, Mariño and Vafa \cite{adkmv} predicted that the open string partition function on a smooth toric Calabi--Yau threefold should be a tau-function of multi…
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…
Correlation Function of Self-Conjugate Partitions: -Difference Equation and Quasimodularity
Zhiyong Wang, Chenglang Yang
In this paper, we study the uniform measure for the self-conjugate partitions. We derive the -difference equation which is satisfied by the -point correlation function relate…