9 papers
Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models
Hongfei Shu, Jingjing Yang
We develop an ODE/IM-based formulation for the thermal partition function and the spectral zeta function of the homogeneous Hermitian and PT-symmetric oscillators. For both classes…
TBA equations for quantum Seiberg-Witten curve: higher-order Mathieu equation
Feiyu Peng, Hongfei Shu
We develop the ODE/IM correspondence for the higher-order Mathieu equation arising from the quantum Seiberg-Witten curve of the pure supersymmetric Yang-Mill…
Thermodynamic Bethe ansatz and wall crossing for deformed supersymmetric quantum mechanics
Katsushi Ito, Hongfei Shu, Jingjing Yang
We study the deformed supersymmetric quantum mechanics with a polynomial superpotential with correction. In the minimal chamber, where all turning points are real and disti…
A short review on TBA equation and scattering amplitude/Wilson loop duality
Hongfei Shu
In this review (written in Chinese), we introduce the computation of the minimal surface area in the scattering amplitude/Wilson loop duality, where the minimal surface ends on a l…
A Difference Formula for Tensor-power Multiplicities
Hongfei Shu, Peng Zhao, Rui-Dong Zhu +1
A novel combinatorial formula is developed for for tensor product multiplicities in representation theory. We introduce a difference formula linking these multiplicities to restric…
Integrability, susy matter gauge theories and black holes
Davide Fioravanti, Daniele Gregori, Hongfei Shu
We show that previous correspondence between some (integrable) statistical field theory quantities and periods of deformed gauge theory still holds if we ad…