Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors

Abstract

We find classical closed string solutions to the non-relativistic AdS${}_5\times$S${}^5$ string theory which are the analogue of the BMN and GKP solutions for the relativistic theory. We show that non-relativistic AdS${}_5\times$S${}^5$ string theory admits a ${\mathbb{Z}}_2$ orbifold symmetry which allows us to impose twisted boundary conditions. Among the solutions in the twisted sector, we find the one around which the semiclassical expansion in arXiv:2102.00008 takes place.

arXiv comment41 pages, 5 figures. v2: typos corrected, few comments and references added. Matching the published version

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• Longitudinal Galilean and Carrollian limits of non-relativistic strings
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• Non-relativistic string monodromies
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• Non-Relativistic Holography from AdS${}_5$/CFT${}_4$
• A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
• A perturbative approach to the non-relativistic string spectrum
• Non-extremal near-horizon geometries
• New Non-Relativistic String in AdS(5)xS(5)