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arXiv · 1206.5176

`Stringy' Newton-Cartan Gravity

Roel Andringa·Eric Bergshoeff·Joaquim Gomis·Mees de Roo
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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.

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Roel Andringa, Eric Bergshoeff, Joaquim Gomis, Mees de Roo. 2012-06-22. `Stringy' Newton-Cartan Gravity. https://doi.org/10.1088/0264-9381%2F29%2F23%2F235020

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