New dressing factors for AdS3/CFT2
Sergey Frolov, Alessandro Sfondrini
Abstract
A bstract The worldsheet S matrix of strings on the AdS 3 × S 3 × T 4 background is almost entirely fixed by symmetries, up to five functions — the dressing factors. These must satisfy several consistency conditions, in particular a set of crossing equations. We find that the existing proposal for the dressing factors, while crossing invariant, violates some of these consistency conditions. We put forward a new set of dressing factors and discuss in detail their analytic properties in the string and mirror region, as well as under bound-state fusion.
Topics & Concepts
WorldsheetInvariant (physics)Homogeneous spaceConsistency (knowledge bases)MathematicsSet (abstract data type)String (physics)Pure mathematicsPhysicsMathematical analysisTheoretical physicsDiscrete mathematicsComputer scienceMathematical physicsGeometryNon-critical string theoryProgramming languageBlack Holes and Theoretical PhysicsNonlinear Waves and SolitonsAlgebraic structures and combinatorial models