Magic2/README.su21 at master · NLM-DIR/Magic2 · GitHub

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SU21
Instructions on how to download, compile and use the 'su21' C program
In case of difficulty, please mail the author
   Jean Thierry-Mieg:  jeanielle.mieg@gmail,com,   mieg@ncbi.nlm.nih.gov

This program was used to check numerically most of the equations fo several articles listed below
dealing with irreducible and indecomposable representations of the simple Lie superalgebra
   SU(2/1)  alias A(1/0) in Kac's classification


To compile and run the su21 program:
 1) clone the aceview source code
      git clone git@github.com:ncbi/AceView

    As you will see, this is a large C code containing an object oriented database engine called acedb
    and a collection of genome analysis programs. It has been in use for the genome project since 1990
    and is very secure and entirely self-contained.
    We need to clone this code-platform because su21 uses some of the underlying C libraries.

 2) compile the su21 code ( you need a C compiler)
    cd AceView
    tcsh
      setenv ACEDB_MACHINE LINUX_4
      make -k libs
      cd wacext
      make su21

    For a Mac please repace LINUX_4
         setenv ACEDB_MACHINE MAC_X_64    (or MAC_X)
    For Ubuntu use
         setenv ACEDB_MACHINE Ubuntu   (or Ubuntu_OPT)
    The code also compiles on any Unix platform ever tested, see wmake/*_DEF for a full list

    The code is constructed in the directory
      ../bin.$ACEDB_MACHINE


 3) Test the su21 program
      ../bin.*/su21 -help
    If you get the instructions for the command line, it works.

 4) Run the su21 program in one of the following modes:

   4A)    Construct the matices of the desired representations: say a=0, b=10, N=3 families
      ../bin.*/su21 -a 0 -b 10  -N 3


    You will see first the matrices in the Chevalley basis
    The SU(2) geberatoirs are called as usual H,E,F
        [H,E] = E,  [H,F] = -F,  [E,F] = H
    The U(1) gewne


    The interface is not very friendly because it is a single user code,
    but if I know some people are interested, the interface could easily be improved
    please email:  mieg@ncbi.nlm.nih.gov

  4B)    Compute the groups trace of different Feynman diagrams
      Undocumented, sorry


  4C)    Compute the pole part of several scalar-vector-tensor Feynman diagrams
      Undocumented, sorry


Reference:

  Jean Thierry-Mieg:
  Scalar anomaly cancellation reveals the hidden superalgebraic structure of the quantum chiral
  SU (2/1) model of leptons and quarks
  Journal of High Energy Physics 2020 (10), 1-26

  Jean Thierry-Mieg and Peter Jarvis:
  SU (2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm
  to describe the electroweak interactions
  Journal of High Energy Physics 2021 (4), 1-25

  Peter Jarvis and Jean Thierry-Mieg:
  Indecomposable doubling for representations of the type I Lie superalgebras sl (m/n) and osp (2/2n)
  arXiv preprint arXiv:2204.08662, 2022

  Jean Thierry-Mieg, Peter Jarvis and Jerome Germoni,
  Explicit construction of the finite dimensional indecomposable representations of the simple Lie-Kac
  SU (2/1) superalgebra and their low level non diagonal  super Casimir operators.
  to be submitted, 2022