Perturbing the symmetric orbifold from the worldsheet
Marc-Antoine Fiset, Matthias R. Gaberdiel, Kiarash Naderi, Vit Sriprachyakul
Abstract
A bstract The symmetric orbifold of π 4 is the analogue of free SYM in four dimensions, and its dual is described by a tensionless string propagating in AdS 3 Γ S 3 Γ π 4 . In this paper we study the deformation of this exact AdS/CFT duality away from the free point. On the symmetric orbifold side this amounts to perturbing the theory by the exactly marginal operator from the 2-cycle twisted sector. We identify the corresponding perturbation in the dual worldsheet description, and show that the anomalous conformal dimensions of a number of symmetric orbifold currents are correctly reproduced from this worldsheet perspective.
Topics & Concepts
WorldsheetOrbifoldPhysicsMathematical physicsConformal mapDuality (order theory)String (physics)String theoryQuantum electrodynamicsCombinatoricsNon-critical string theoryGeometryMathematicsBlack Holes and Theoretical PhysicsNonlinear Waves and SolitonsGeometric Analysis and Curvature Flows