‘Stringy’ Newton–Cartan gravity

By Roel Andringa, Eric Bergshoeff, Joaquim Gomis, Mees de Roo. 2012

167 citations recorded by the source corpus.

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 nonzero 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.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/11f57b3e7b6490f079205baa6a3106194c09b582

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Joaquim Gomis
2. Eric Bergshoeff
3. J. Hartong

In Nuclear and High Energy Physics

1. J. Hartong
2. N. Obers
3. Ziqi Yan
4. Eric Bergshoeff
5. Jan Rosseel
6. T. Harmark
7. Lorenzo Menculini
8. Joaquim Gomis

In Statistical and Nonlinear Physics

1. J. Hartong
2. N. Obers
3. Ziqi Yan
4. Eric Bergshoeff
5. Jan Rosseel
6. Joaquim Gomis
7. Lorenzo Menculini
8. T. Harmark

Citations in the corpus

• Carroll versus Galilei gravity (2017, background): “The fact that curvature constraints are not only used to solve for (part of) the spinconnections but also lead to constraints on the geometry has been encountered before in the construction of the so-called stringy Newton-Cartan gravity theory [21].”
• Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence (2018, methodology): “In [32] the theory for strings moving in a string-NC geometry [28] was considered in detail.”