Virtual Journal Club - Solving the Simplest SUSY RG Flow with Hamiltonian Truncation

by Matthew Thomas Walters (EPFL - Ecole Polytechnique Federale Lausanne (CH))

Thursday 19 Mar 2020, 14:00 → 16:00 Europe/Zurich

Vidyo Only (CERN)

I will discuss recent work using Hamiltonian truncation to study the supersymmetric Gross-Neveu-Yukawa (SGNY) theory in 1+1 dimensions. This theory has very interesting IR behavior, with two separate phases: one preserving SUSY and one where SUSY is spontaneously broken. These two phases are separated by a second-order phase transition, which is described by the 2D tricritical Ising model. First, I will briefly review the method of conformal truncation, which uses a basis of low-dimension primary operators from a UV fixed point (in this case, free field theory with one scalar and one fermion) to construct the Hamiltonian, which we diagonalize numerically to obtain the resulting mass eigenstates. I will then discuss the application of this method to SUSY theories, as well as results for the SGNY theory studying two-point functions of operators along the RG flow, on both sides of the phase transition. In particular, we compute the Zamolodchikov C-function, allowing us to determine the central charge of the IR fixed point.

CERN_VirtualJournalClub.pdf