String integrability of defect CFT and dynamical reflection matrices
Georgios Linardopoulos, Konstantin Zarembo
Abstract
A bstract The D3-D5 probe-brane system is holographically dual to a defect CFT which is known to be integrable. The evidence comes mainly from the study of correlation functions at weak coupling. In the present work we shed light on the emergence of integrability on the string theory side. We do so by constructing the double row transfer matrix which is conserved when the appropriate boundary conditions are imposed. The corresponding reflection matrix turns out to be dynamical and depends both on the spectral parameter and the string embedding coordinates.
Topics & Concepts
PhysicsString (physics)Reflection (computer programming)Boundary (topology)String field theoryTransfer matrixEmbeddingMatrix (chemical analysis)String theoryNon-critical string theoryMathematical physicsSpectrum (functional analysis)String dualityWork (physics)Matrix modelTheoretical physicsBoundary value problemM-theoryBosonic string theoryQuantum mechanicsDual (grammatical number)String cosmologyType I string theoryCorrelation function (quantum field theory)Relationship between string theory and quantum field theoryMonodromy matrixS-matrixQuantum electrodynamicsHeterotic string theoryBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNonlinear Waves and Solitons