R. Nepomechie, University of Miami, Coral Gables

Title: Integrability in the open string/chain sector of AdS5/CFT4

Abstract:

The discovery of integrability in the AdS5/CFT4 correspondence has led
to precise, all-loop results.  This integrability has been studied
primarily in the closed string/chain sector.  The first part of the
talk is an elementary review of that work.  We then focus on
integrability in the open string/chain sector.  In particular, we
study integrable open spin chains corresponding to open strings
attached to so-called Y=0 branes (maximal giant gravitons).  For the
one-loop SU(3) sector, we determine the commuting transfer matrix and
find its eigenvalues by analytic Bethe ansatz.  The Bethe ansatz
equations (BAEs) are consistent with the weak-coupling limit of the
recently-obtained all-loop BAEs.  We also generalize some of the SU(3)
results to SU(N).  (Based on arXiv: 0903.1646 and 0911.5494.)