Relating non-relativistic string theories

Abstract

Non-relativistic string theories promise to provide simpler theories of quantum gravity as well as tractable limits of the AdS/CFT correspondence. However, several apparently distinct non-relativistic string theories have been constructed. In particular, one approach is to reduce a relativistic string along a null isometry in target space. Another method is to perform an appropriate large speed of light expansion of a relativistic string. Both of the resulting non-relativistic string theories only have a well-defined spectrum if they have nonzero winding along a longitudinal spatial direction. In the presence of a Kalb--Ramond field, we show that these theories are equivalent provided the latter direction is an isometry. Finally, we consider a further limit of non-relativistic string theory that has proven useful in the context of AdS/CFT (related to Spin Matrix Theory). In that case, the worldsheet theory itself becomes non-relativistic and the dilaton coupling vanishes.

arXiv comment23+5 pages, v2: added references and minor clarifications

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• Non-Relativistic Gravity and its Coupling to Matter
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• Torsional string Newton-Cartan geometry for non-relativistic strings
• A Non-Relativistic Limit of NS-NS Gravity
• Non-Relativistic Ten-Dimensional Minimal Supergravity
• Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
• A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometry
• On the Non-Relativistic Expansion of Closed Bosonic Strings
• Background Field Method for Nonlinear Sigma Models in Nonrelativistic String Theory
• Torsional Deformation of Nonrelativistic String Theory
• Dual D-Brane Actions in Nonrelativistic String Theory
• Nonrelativistic Open String and Yang-Mills Theory
• T-Duality in Nonrelativistic Open String Theory
• Non-relativistic duality and $T\bar{T}$ deformations
• Nonrelativistic Approximations of Closed Bosonic String Theory
• Newton-Cartan Submanifolds and Fluid Membranes
• Spin Matrix Theory String Backgrounds and Penrose Limits of AdS/CFT
• Non-Riemannian isometries from double field theory
• Non-Riemannian gravity actions from double field theory
• Aspects of Non-Relativistic Quantum Field Theories
• Non-relativistic three-dimensional supergravity theories and semigroup expansion method
• Worldsheet Formalism for Decoupling Limits in String Theory
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• The Supersymmetric Neveu-Schwarz Branes of Non-Relativistic String Theory
• Matrix Theory Reloaded: A BPS Road to Holography
• Emergent Dipole Gauge Fields and Fractons
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Nonrelativistic near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills with $SU(1,1)$ symmetry
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Nonrelativistic Corners of $\mathcal{N}=4$ Supersymmetric Yang--Mills Theory
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Non-relativistic limits and three-dimensional coadjoint Poincare gravity
• KLT Factorization of Nonrelativistic String Amplitudes
• Fractons, non-Riemannian Geometry, and Double Field Theory
• The Panorama of Spin Matrix Theory
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Coset space actions for nonrelativistic strings
• Branched SL(2,Z) Duality
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• Supersymmetric Galilean Electrodynamics
• Identifying Riemannian singularities with regular non-Riemannian geometry
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• Null Dimensional Reduction of M2-Brane
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• Stable and Unstable Dp-branes in p-brane Newton-Cartan Background
• Lie Algebra Expansions, Non-Relativistic Matter Multiplets and Actions
• KLT Factorization of Winding String Amplitudes
• D-Brane Actions in Non-Relativistic String Theory and T-Duality
• Nonrelativistic spinning strings
• A perturbative approach to the non-relativistic string spectrum
• Lagrangians for non-relativistic gravity
• Newton-Cartan $D0$ branes from $D1$ branes and integrability
• Traversable wormhole for string, but not for particle
• Non-relativistic quantum strings from gauged WZW models
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