JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

[CM ICTP - Trieste]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR






Tuesday, 26 June    -    12:30 hrs.




Lecture Room 'D' - SISSA Main Building






CHANGRIM AHN
( Ewha Womans University, Seoul )




" Finite size-effects of the supersymmetric Sine-Gordon model with 
Dirichlet
boundary conditions "



Abstract

Starting from the Bethe Ansatz solution of the open integrable spin-1 
XXZ quantum spin chain with diagonal boundary terms, we derive a set of 
nonlinear integral equations (NLIEs), which we propose to describe the 
boundary supersymmetric sine- Gordon model BSSG+ with Dirichlet 
boundary conditions on a finite interval. We compute the corresponding 
boundary S matrix. We also derive a relation between the (UV) 
parameters in the boundary conditions and the (IR) parameters in the 
boundary S matrix. By computing the boundary vacuum energy, we 
determine a previously unknown parameter in the scattering theory. We 
solve the NLIEs numerically for intermediate values of the interval 
length, and find agreement with our analytical result for the effective 
central charge in the UV limit and with boundary conformal perturbation 
theory.