Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory

Understand

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.