2012/06/22 by Roel Andringa, Eric Bergshoeff, Joaquim Gomis +1 · 2 citations
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/29/23/235020
44 pages
arxiv created 2012/06/22 · arxiv updated 2015/06/05
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.