Warped Schwarzian theory

Abstract

Abstract 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.

Keywords

• Differential and Algebraic Geometry
• Field Theories in Lower Dimensions
• Nonperturbative Effects