`Stringy' Newton-Cartan Gravity

Abstract

We construct a "stringy" version of Newton-Cartan gravity in which the concept of a Galilean observer plays a central role. We present both the geodesic equations of motion for a fundamental string and the bulk equations of motion in terms of a gravitational potential which is a symmetric tensor with respect to the longitudinal directions of the string. The extension to include a non-zero cosmological constant is given. We stress the symmetries and (partial) gaugings underlying our construction. Our results provide a convenient starting point to investigate applications of the AdS/CFT correspondence based on the non-relativistic "stringy" Galilei algebra.

44 pages

References in corpus (4)

• Newtonian Gravity and the Bargmann Algebra
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Galilean Isometries
• Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations

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