Background field method for nonlinear sigma models in nonrelativistic string theory
Ziqi Yan, Matthew Yu
Abstract
A bstract We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is known to be string Newton-Cartan geometry. We develop the covariant background field method in this non-Riemannian geometry. We apply this background field method to compute the beta-functions of the nonlinear sigma model that describes nonrelativistic string theory on a string Newton-Cartan geometry background, in presence of a Kalb-Ramond two-form and dilaton field.
Topics & Concepts
PhysicsWorldsheetString field theoryNon-critical string theoryRelationship between string theory and quantum field theoryString cosmologyDilatonString phenomenologySigma modelString (physics)Covariant transformationString theoryTheoretical physicsString dualityBackground field methodHeterotic string theoryQuantum electrodynamicsSigmaMathematical physicsField (mathematics)Bosonic string theoryBackground independenceCompactification (mathematics)Quantum field theoryNonlinear systemField theory (psychology)Effective field theoryTachyon condensationQuantum mechanicsSpace (punctuation)Type I string theoryClassical mechanicsParticle physicsQuantization (signal processing)Black Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesHomotopy and Cohomology in Algebraic Topology