Something useful

I have collected some lecture notes, videos, and papers useful in my study and research.  If you are interested in conformal field theory and related topics, check some of them. 

Here are some useful links for theoretical physics:

• Gerard t' Hooft's website on How to become a GOOD Theoretical Physicist 

• iTensor -- great for modern DMRG/MPS calculation, very easy to use 

• LieArt -- for lie algebra

• GAP -- for finite groups

• msolve --Groebner basis approach for solving polynomial equations 

• Bertini -- homotopy continuation approach to solve polynomial equations

• HomotopyContinuation.jl -- Julia package,  homotopy continuation approach to solve polynomial equations

• qgraf --generating Feynman diagram topologies 

• mb.m --Mellin Barnes approach to Feynman integrals 

• Cuba --numerical Monte Carlo integration 

• Macaulay2 --algebraic geometry, Gröbner bases ...

• iGraph/M --a Mathematica interface for igraph, graph theory

• physics StackExchange , math Overflow 

• High-performance computing (HPC) is super important for modern theoretical physics. In CPhT, we have Cholesky.

Useful lectures (videos):

• Subir Sachdev: TIFR/IAS course on The Quantum Phases of Matter 

• Bernd Sturmfels & Mateusz Michalek : Nonlinear Algebra 

• Zohar Komargodski: Quantum Field Theories in 2+1 Dimensions 

• Sasha Zhiboedov: The analytic S-matrix [notes] 

• Shota Komatsu: Topics on Integrability and N=4 SYM 

• Gerald Dunne: Introduction to Resurgence, Trans-series and Non-perturbative Physics 

• Gabriel Cuomo: The limit of large internal quantum numbers in CFT [1] [2] [3]  

• Balt Van Rees: Scattering Amplitudes

• Chong Wang: Gauge theories in 2+1 dimensions and dualities [1] [2] [3][4] [5]

• Anders Sandvik: Lattice models and numerical simulations 

• Shu-heng Shao: Anomalies of Global Symmetries

• TASI 2023 (wiki) 

Useful lecture notes 

• David Simmons-Duffin: TASI Lectures on the Conformal Bootstrap 

• Slava Rychkov: EPFL Lectures on Conformal Field Theory in D>= 3 Dimensions 

• Edward Witten: Three Lectures On Topological Phases Of Matter and Fermion Path Integrals And Topological Phases 

• Edward Witten: Fermion Path Integrals And Topological Phases

• Ben Simons: Phase Transitions and Collective Phenomena 

• David Tong:  Lectures on Gauge Theory 

• Paul Ginsparg:  Applied Conformal Field Theory 

Useful references:

• Robert Feger, Thomas W. Kephart, Robert J. Saskowski, LieArt2

• Scott Lawrence, Brian McPeak, CFT zoo

• Cordova, Dumitrescu, Intriligator, Multiplets of Superconformal Symmetry in Diverse Dimensions 

• Andrea Pelissetto, Ettore Vicari Critical phenomena and renormalization group theory 

• Johan Henriksson, The critical O(N) CFT: Methods and conformal data

Books:

• P Francesco, P Mathieu, D Sénéchal  "Conformal field theory" (the yellow Bible)

• John Cardy, "Scaling and Renormalization in Statistical Physics"

• Alexander Polyakov, "Gauge Fields and Strings"