Nonrelativistic spinning strings

Abstract

We construct nonrelativistic spinning string solutions corresponding to SU(1, 2|3) Spin-Matrix theory (SMT) limit of strings in AdS5× S5. Considering various nonrelativistic spinning string configurations both in AdS5 as well as S5 we obtain corresponding dispersion relations in the strong coupling regime of SMT where the strong coupling ($$ \sim \sqrt{\mathfrak{g}} $$ ∼ g ) corrections near the BPS bound have been estimated in the slow spinning limit of strings in AdS5. We generalize our results explicitly by constructing three spin folded string configurations that has two of its spins along AdS5 and one along S5. Our analysis reveals that the correction to the spectrum depends non trivially on the length of the NR string in AdS5. The rest of the paper essentially unfolds the underlying connection between SU(1, 2|3) Spin-Matrix theory (SMT) limit of strings in AdS5× S5 and the nonrelativistic Neumann-Rosochatius like integrable models in 1D. Taking two specific examples of NR spinning strings in R × S3 as well as in certain sub-sector of AdS5 we show that similar reduction is indeed possible where one can estimate the spectrum of the theory using 1D model.

Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT

“…These advances in our understanding of SMT strings are part of a broader development of non-relativistic string theory in recent years [8,9,[15][16][17][18][19][20][21][22][23][24][25][26][27][28], spurred on in part by new insights into Newton-Cartan (NC) geometry, including the discovery of torsional Newton-Cartan (TNC) geometry [29][30][31] and stringy Newton-Cartan (SNC) geometry [15]. Such NC-type geometries allow for a covariant formulation of physics in non-relativistic limits, 1/c expansions and reductions.…”

“…Recently, spinning string solutions have been obtained[27] from the sigma model associated to the version of the P SU (1, 2|3) background that was derived in earlier work[9]. It would be interesting to extend these results to the present background which is more natural from the spin chain perspective.12 Note that the phase space interpretation also holds for sigma models on the curved U (1)-Galilean backgrounds in Section 3, not just for the FF backgrounds in Section 4.…”

Spin Matrix theory string backgrounds and Penrose limits of AdS/CFT

“…These advances in our understanding of SMT strings are part of a broader development of non-relativistic string theory in recent years [8,9,[15][16][17][18][19][20][21][22][23][24][25][26][27][28], spurred on in part by new insights into Newton-Cartan (NC) geometry, including the discovery of torsional Newton-Cartan (TNC) geometry [29][30][31] and stringy Newton-Cartan (SNC) geometry [15]. Such NC-type geometries allow for a covariant formulation of physics in non-relativistic limits, 1/c expansions and reductions.…”

“…Recently, spinning string solutions have been obtained[27] from the sigma model associated to the version of the PSU(1, 2|3) background that was derived in earlier work[9]. It would be interesting to extend these results to the present background which is more natural from the spin chain perspective.12 Note that the phase space interpretation also holds for sigma models on the curved U(1)-Galilean backgrounds in section 3, not just for the FF backgrounds in section 4.…”

Note on higher-point correlation functions of the $$T\bar T$$ or $$J\bar T$$ deformed CFTs

“…There are some *Corresponding author (email: hesong@jlu.edu.cn) non-trivial checks for this proposal. The JT deformation also has a holographic interpretation [12][13][14][15]. Moreover, these deformations are also related to string theory [13,[16][17][18][19][20][21][22][23][24][25][26].…”