Speaker
Tim Meier
Date/Time
Date(s) - 07/11/2022
11:00 - 12:00
Location
IRIS Building, Room 1.221
On Monday 7th of November at 11:00, Tim Meier will present a review of the one-loop anomalous dimension of the su(2) subsector of N=4 SYM.
Abstract: Starting from the N=4 SYM Lagrangian and the psu(2,2|4) symmetry of the theory, I will discuss the anomalous dimension of single trace operators in N=4. Starting at one-loop level, the Operators can mix with each other due to interactions of the field content. I will explain, how to restrict the field content to get so-called closed subsectors which are closed w.r.t. the loop mixing. I will then explain on the example of the closed su(2) sector, how to map the one-loop mixing process to a system of closed spin chains with a nearest neighbor Hamiltonian, which eigenvalues can be interpreted as the one-loop anomalous dimension. Depending on time I will give an outlook on how a deformation by a Drinfel’d twist affects the spin chains and its Hamiltonian and therefore, the anomalous dimension of single trace operators.
If you are external to the RTG and are interested, please email me at gabriel.bliard(at)physik,hu-berlin.de and either I or Alexander Broll can send you a zoom link to join online or in presence.