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.

5 pages, letter format, v2: updated to published version

References in corpus (5)

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• Revisiting non-relativistic limits
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• Torsional Deformation of Nonrelativistic String Theory
• Tensionless Tales: Vacua and Critical Dimensions

Cited by in corpus (16)

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• Dual D-Brane Actions in Nonrelativistic String Theory
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• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
• Generalized Newton-Cartan Geometries for Particles and Strings
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• The Panorama of Spin Matrix Theory
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• A 3+1 formulation of the 1/c expansion of General Relativity
• Non-relativistic string monodromies
• New Non-Relativistic String in AdS(5)xS(5)
• Canonical Analysis of New Non-Relativistic String Action and Uniform Light-Cone Gauge Formulation
• Nonrelativistic strings and the limits of $\mathcal{N}=2$ dualities
• Holographic duals of $\mathcal{N}=1$ quivers in 5d and their nonrelativistic limits