Nonrelativistic spinning strings

Abstract

We construct nonrelativistic spinning string solutions corresponding to $SU(1,2|3)$ Spin-Matrix theory (SMT) limit of strings in $Ad{S}_5\times S^5$. Considering various nonrelativistic spinning string configurations both in $Ad{S}_5$ as well as $S^5$ we obtain corresponding dispersion relations in the strong coupling regime of SMT where the strong coupling ($\sim \sqrt{\mathfrak{g}}$) corrections near the BPS bound have been estimated in the slow spinning limit of strings in $Ad{S}_5$. We generalize our results explicitly by constructing three spin folded string configurations that has two of its spins along $Ad{S}_5$ and one along $S^5$. Our analysis reveals that the correction to the spectrum depends non trivially on the length of the NR string in $Ad{S}_5$. The rest of the paper essentially unfolds the underlying connection between $SU(1,2|3)$ Spin-Matrix theory (SMT) limit of strings in $Ad{S}_5\times S^5$ and the nonrelativistic Neumann-Rosochatius like integrable models in 1D. Taking two specific examples of NR spinning strings in $R\times S^3$ as well as in certain sub-sector of $Ad{S}_5$ we show that similar reduction is indeed possible where one can estimate the spectrum of the theory using 1D model.

arXiv commentLatex, 19 pages, Revised version, Version accepted in JHEP

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Cited by in corpus (3)

• Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT
• Aspects of Non-Relativistic Quantum Field Theories
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors