Warped Schwarzian theory
Hamid R. Afshar
Abstract
A bstract We consider the (twisted) warped Virasoro group Diff( S 1 )⋉C ∞ ( S 1 ) in the presence of its three cocycles. We compute the Kirillov-Kostant-Souriau symplectic 2-form on coadjoint orbits. We then construct the Euclidean action of the ‘warped Schwarzian theory’ associated to the orbit with SL(2,ℝ) × U(1) stabilizer as the effective theory of the reparametrization over the base circle and evaluate the corresponding one-loop-exact path integral. We further discuss thermodynamics of the wSch theory in comparison with the complex SYK model.
Topics & Concepts
PhysicsSymplectic geometryAction (physics)Euclidean geometryOrbit (dynamics)Group (periodic table)Mathematical physicsPure mathematicsTheoretical physicsBase (topology)Path (computing)M-theoryConstruct (python library)Connection (principal bundle)Path integral formulationConformal field theoryLie groupSymmetry groupString theoryOperator (biology)Conformal mapLimit (mathematics)Term (time)Homotopy and Cohomology in Algebraic TopologyAdvanced Algebra and GeometryAlgebraic and Geometric Analysis