Nonrelativistic pulsating strings

Abstract

We explore nonrelativistic (NR) pulsating string configurations over torsion Newton-Cartan (TNC) geometry having topology $R\times S^2$ and check the corresponding analytic integrability criteria following Kovacic's algorithm. In the first part we consider pulsating strings propagating over TNC geometry whose world-sheet theory is described by relativistic CFTs. We compute conserved charges associated with the $2D$ sigma model and show that the classical phase space corresponding to these NR pulsating string configurations is Liouvillian integrable. Finally, we consider nonrelativisitc scaling associated with the world-sheet d.o.f. and show that the corresponding string configuration allows even simpler integrable structure.

Latex, 13 pages, Version to Appear In JHEP

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Cited by in corpus (19)

• Relating non-relativistic string theories
• Torsional Newton Cartan gravity from non-relativistic strings
• A worldsheet supersymmetric Newton-Cartan string
• Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory
• Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT
• Non-integrability on AdS${}_3$ supergravity backgrounds
• The non-integrability of $L^{a,b,c}$ quiver gauge theories
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Non-integrability in AdS${}_3$ vacua
• Coset space actions for nonrelativistic strings
• Nonrelativistic expansion of M2 branes and M theory backgrounds
• Non-integrability of the $\Omega$-deformation
• Nonrelativistic giant magnons from Newton Cartan strings
• Nonrelativistic spinning strings
• Newton-Cartan $D0$ branes from $D1$ branes and integrability
• Pulsating strings in $Sch{r}_5\times T^{1,1}$ background
• Nonrelativistic expansion of type IIA NS5 brane
• Nonrelativistic strings and the limits of $\mathcal{N}=2$ dualities