Mathematica Summer School on Theoretical Physics

Day 5 was dedicated to some more advanced topics such as BFKL and all loop results. Lev Lipatov gave a lecture on BFKL and its connection with integrability. In the Mathematica lecture some exercises of the previous days were reviewed. Then the usage of a particular advanced syntax in Mathematica was thought and a proposal for a simple GPXT algorithm - which uses in a very elegant way many of the most important commands in Mathematica - was explained. Finally the numerical computation of the Konishi operator at any coupling as predicted from the asymptotic Bethe ansatz was exemplified and the application of Mathematica to the numerical solution of Thermodynamic Bethe Ansatz integral equations was considered. The exercises covered BFKL and its connection with the SL(2) sector of N=4 SYM and also Bazhanov-Reshetikhin formula and characters in particular in the supergroup context.