80 citations · 412 across the 31 of their papers we have counts for
31 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…
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…
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…
Resurgence for large expansion in Coulomb gas formalism
Yong Li, Hongfei Shu
We develop a resurgence analysis for large central charge (large ) expansions in two-dimensional CFTs using the Coulomb gas formalism. Through the exact Borel-Laplace representa…
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…
Truncating Dyson-Schwinger Equations Based on Lefschetz Thimble Decomposition and Borel Resummation
Feiyu Peng, Hongfei Shu
We study the zero-dimensional prototype of the path integrals in quantum mechanics and quantum field theory, with the action . Using the Lefsc…
Counting Bethe States in Twisted Spin Chains
Hongfei Shu, Peng Zhao, Rui-Dong Zhu +1
We present a counting formula that relates the number of physical Bethe states of integrable models with a twisted boundary condition to the number of states in the untwisted or pa…
TBA equations and exact WKB analysis in deformed supersymmetric quantum mechanics
Katsushi Ito, Hongfei Shu
We study the spectral problem in deformed supersymmetric quantum mechanics with polynomial superpotential by using the exact WKB method and the TBA equations. We apply the ODE/IM c…
Quasinormal Modes of C-metric from SCFTs
Yang Lei, Hongfei Shu, Kilar Zhang +1
We study the quasinormal modes (QNM) of the charged C-metric, which physically stands for a charged accelerating black hole, with the help of Nekrasov's partition function of 4d $\…
Correlation Functions in the TsT/ Correspondence
Wei Cui, Hongfei Shu, Wei Song +1
We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS with NS-NS flux and a single-trace deformat…
Shadow Celestial Amplitude
Chi-Ming Chang, Wei Cui, Wen-Jie Ma +2
We study scattering amplitudes in the shadow conformal primary basis, which satisfies the same defining properties as the original conformal primary basis and has many advantages o…
Bethe-State Counting and the Witten Index
Hongfei Shu, Peng Zhao, Rui-Dong Zhu +1
We count the Bethe states of quantum integrable models with twisted boundary conditions using the Witten index of 2d supersymmetric gauge theories. For multi-component models solva…
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…
TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
Hao Ouyang, Hongfei Shu
We compute the minimal area of a string worldsheet ending on two infinite periodic light-like Wilson lines in the AdS boundary, which is dual to the first non-planar correction…
Wall-crossing of TBA equations and WKB periods for the third order ODE
Katsushi Ito, Takayasu Kondo, Hongfei Shu
We study the WKB periods for the third order ordinary differential equation (ODE) with polynomial potential, which is obtained by the Nekrasov-Shatashvili limit of () Argy…
WKB periods for higher order ODE and TBA equations
Katsushi Ito, Takayasu Kondo, Kohei Kuroda +1
We study the WKB periods for the -th order ordinary differential equation (ODE) which is obtained by the conformal limit of the linear problem associated with the $A_r^{(1)}…
U(1) CS Theory vs SL(2) CS Formulation: Boundary Theory and Wilson Line
Xing Huang, Chen-Te Ma, Hongfei Shu +1
We first derive the boundary theory from the U(1) Chern-Simons theory. The boundary action on an -sheet manifold appears from its back-reaction of the Wilson line. The reason is…
Extended systems of Baxter Q-functions and fused flags I: simply-laced case
Simon Ekhammar, Hongfei Shu, Dmytro Volin
The spectrum of integrable models is often encoded in terms of commuting functions of a spectral parameter that satisfy functional relations. We propose to describe this commutativ…
deformation of chiral bosons and Chern-Simons AdS gravity
Hao Ouyang, Hongfei Shu
We study the deformation of the chiral bosons and show the equivalence between the chiral bosons of opposite chiralities and the scalar fields at the Hamiltonian level u…
-system and non-linear integral equations for scattering amplitudes at strong coupling
Davide Fioravanti, Marco Rossi, Hongfei Shu
We provide the two fundamental sets of functional relations which describe the strong coupling limit of scattering amplitudes in SYM dual to Wilson loops in $AdS_…
ODE/IM correspondence for affine Lie algebras: A numerical approach
Katsushi Ito, Takayasu Kondo, Kohei Kuroda +1
We study numerically the ODE/IM correspondence for untwisted affine Lie algebras associated with simple Lie algebras including exceptional type. We consider the linear problem obta…
Quantum Correction of the Wilson Line and Entanglement Entropy in the Pure AdS Einstein Gravity Theory
Xing Huang, Chen-Te Ma, Hongfei Shu
We calculate the expectation value of the Wilson line in the pure AdS Einstein gravity theory and also the entanglement entropy in the boundary theory. Our one-loop calculation…
TBA equations for the Schrödinger equation with a regular singularity
Katsushi Ito, Hongfei Shu
We derive the Thermodynamic Bethe Ansatz (TBA) equations for the Schrödinger equation with an arbitrary polynomial potential and a regular singular (simple and double pole) term. T…