Remark About Non-Relativistic String in Newton-Cartan Background and Null Reduction

Abstract

We analyze non-relativistic string in Newton-Cartan background that was found recently in [arXiv:1705.03535 [hep-th]]. We find its Hamiltonian formulation and study structure of constraints. We also discuss a relation between string in Newton-Cartan Background and T-duality along null reduction.

14 pages,v2:references added, published version

References in corpus (5)

• Dynamics of Carroll Particles
• Extended Galilean symmetries of non-relativistic strings
• The Galilean Superstring
• Non-relativistic Spinning Particle in a Newton-Cartan Background
• Non-Relativistic Non-BPS Dp-brane

Cited by in corpus (37)

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• Non-Relativistic Ten-Dimensional Minimal Supergravity
• A worldsheet supersymmetric Newton-Cartan string
• An Action for Extended String Newton-Cartan Gravity
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• T-Duality in Nonrelativistic Open String Theory
• Oddity in nonrelativistic, strong gravity
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• Nonrelativistic String Theory Sigma Model and Its Canonical Formulation
• Non-Riemannian gravity actions from double field theory
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• Matrix Theory Reloaded: A BPS Road to Holography
• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
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• Nonrelativistic Corners of $\mathcal{N}=4$ Supersymmetric Yang--Mills Theory
• Non-Relativistic D-brane from T-duality Along Null Direction
• KLT Factorization of Nonrelativistic String Amplitudes
• Coset space actions for nonrelativistic strings
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Uniqueness of Galilean Conformal Electrodynamics and its Dynamical Structure
• Null Dimensional Reduction of M2-Brane
• Non-relativistic string monodromies
• Covariant Poisson's equation in torsional Newton-Cartan gravity
• Dual Non-Lorentzian Backgrounds for Matrix Theories
• Stable and Unstable Dp-branes in p-brane Newton-Cartan Background
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• Exceptional nonrelativistic effective field theories with enhanced symmetries