Rafael I. Nepomechie

TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.

TL;DR: In this article, the authors present an overview of the achievements and the status of integrability in the context of the AdS/CFT correspondence as of the year 2010.

TL;DR: The connection between gauge invariance, masslessness, and null cone propagation is a flat space property which does not persist even in constant curvature geometries as discussed by the authors, and it is shown that both the gauge invariant spin 3 2 and 2 fields in anti-de Sitter space have support inside the cone, whereas where are conformally invariant, but gauge variant, models which do propagate on the light cone.

TL;DR: In this paper, the integrable open XX quantum spin chain with non-diagonal boundary terms was considered and an exact inversion identity was derived, by which the eigenvalues of the transfer matrix and the Bethe ansatz equations were obtained.

TL;DR: In this article, the authors extend Sklyanin's formalism for constructing integrable open spin chains to the case of non-symmetric (PT-invariant) R-matrices.