Vasileios Moustakis
Academic and research departments
Mathematics at the Interface Group, School of Mathematics and Physics.About
My research project
Boundary integrability in AdS/CFTI study the boundary scattering of massles modes in AdS3, using integrability techniques.
Supervisors
I study the boundary scattering of massles modes in AdS3, using integrability techniques.
Publications
We construct the boundary algebraic Bethe ansatz for the AdS3 × S3 × T4 integrable reflection problem restricted to the massless sector. We derive the double-row monodromy and find the appropriate formulation of the dual equation of Sklyanin's. We perform the algebraic Bethe ansatz and obtain the RTT (more properly RTRT) relations, from which the spectrum is obtained by repeated action of the B operator on the pseudovacuum. We obtain the Bethe equations by cancelling the unwanted terms, and prove the exact formulae for any number of quantum particles and magnonic excitations.