Notes
This is a collection of my notes written at various stage of my life since I was an undergraduate student.
This is the first I wrote for the undergraduate course of Thermodynamics. It is in Japanese.Not completed.
Notes preparing for a brief talk at my lab.
An introductory article on quantum groups written in 2014.
A_1 Macdonald Polynomial and its duality.
Manuscript based on which I gave a talk in Australia.
How to obtain a Gaiotto state from the conformal block.
Basics of chiral algebra in 4d N=2.
Hayashi's lecture on M-theory compactified on CY3 and CY4.
List of Schur operators
Introduction to Heat Kernel (under construction)
A short summary of calculations of unrefined topological vertex (under construction)
An introduction to Yang-Baxter equation and spin chains with boundaries.
My second Japanese notes. This one is on the non-relativistic scattering problem.
This is my master thesis on W-algebra with modern insights taken.
Short summary on fusion rules in Virasoro algebra.
Notes on a short-cut way to compute the monodromy, especially its transformation.
Towards the understanding of the Jacobi triple identity.
Several equivalent expressions of Nekrasov factor.
List of known chiral algebras dual to 4d N=2 SCFTs.
Oota's lecture on the origin of Painlevé and discrete Painlevé in 4d N=2 SU(2) gauge theories.
General argument for open spin chain.
S. Jeong's lecture on his work on opers (handwriting notes of mine)
A short notes on how to derive the spherical harmonics starting from its definition.
Notes of the lecture 1 given by Yinan Wang about higher-form symmetry
The second part of my notes on non-relativistic scattering problem.
Manuscript which my talk at Seikei university is based on.
Notes on Quantum Focussing Theorem.
Short notes help understand root system.
Notes on Painleve equation.
ADHM construction from brane configuration.
Honma's lecture on N=(2,2) sigma model and F-theory.
A lecture note on topology and homology collected from my graduate course
A review on Hope fiber.
Notes of two lectures given by Du Pei.
Notes on the application of elliptic integrals.
Notes of the lecture 2 given by Yinan Wang about higher-form symmetry
Slides used in SUIAS workshop in HEP-TH
Time table of Soochow University workshop
Yuji Tachikawa
Jun Nian
Li Li
More to be released...