On the Non-Relativistic Expansion of Closed Bosonic Strings

Abstract

We develop a novel approach to non-relativistic closed bosonic string theory that is based on a string $1/c^2$ expansion of the relativistic string, where $c$ is the speed of light. This approach has the benefit that one does not need to take a limit of a string in a near-critical Kalb-Ramond background. The $1/c^2$-expanded Polyakov action at next-to-leading order reproduces the known action of non-relativistic string theory provided that the target space obeys an appropriate foliation constraint. We compute the spectrum in a flat target space, with one circle direction that is wound by the string, up to next-to-leading order and show that it reproduces the spectrum of the Gomis-Ooguri string.

arXiv comment5 pages, letter format, v2: updated to published version

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• Generalized Newton-Cartan Geometries for Particles and Strings
• The Panorama of Spin Matrix Theory
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• A 3+1 formulation of the 1/c expansion of General Relativity
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