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Nonrelativistic spinning strings
oleh: Dibakar Roychowdhury
Format: | Article |
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Diterbitkan: | SpringerOpen 2020-11-01 |
Deskripsi
Abstract We construct nonrelativistic spinning string solutions corresponding to SU(1, 2|3) Spin-Matrix theory (SMT) limit of strings in AdS 5 × S 5. Considering various nonrelativistic spinning string configurations both in AdS 5 as well as S 5 we obtain corresponding dispersion relations in the strong coupling regime of SMT where the strong coupling ( ∼ g $$ \sim \sqrt{\mathfrak{g}} $$ ) corrections near the BPS bound have been estimated in the slow spinning limit of strings in AdS 5. We generalize our results explicitly by constructing three spin folded string configurations that has two of its spins along AdS 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 AdS 5. The rest of the paper essentially unfolds the underlying connection between SU(1, 2|3) Spin-Matrix theory (SMT) limit of strings in AdS 5 × S 5 and the nonrelativistic Neumann-Rosochatius like integrable models in 1D. Taking two specific examples of NR spinning strings in R × S 3 as well as in certain sub-sector of AdS 5 we show that similar reduction is indeed possible where one can estimate the spectrum of the theory using 1D model.