Aspects of Nonrelativistic Strings

Abstract

We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields. This theory arises as a self-contained corner of relativistic string theory. It has a string spectrum with a Galilean dispersion relation, and a spacetime S-matrix with nonrelativistic symmetry. This string theory also gives a unitary and ultraviolet complete framework that connects different corners of string theory, including matrix string theory and noncommutative open strings. In recent years, there has been a resurgence of interest in the non-Lorentzian geometries and quantum field theories that arise from nonrelativistic string theory in background fields. In this review, we start with an introduction to the foundations of nonrelativistic string theory in flat spacetime. We then give an overview of recent progress, including the appropriate target-space geometry that nonrelativistic strings couple to. This is known as (torsional) string Newton-Cartan geometry, which is neither Lorentzian nor Riemannian. We also give a review of nonrelativistic open strings and effective field theories living on D-branes. Finally, we discuss applications of nonrelativistic strings to decoupling limits in the context of the AdS/CFT correspondence.

46 pages, review article for Frontiers in Physics Research Topic "Non-Lorentzian Geometry and its Applications"; v2: clarifications and references added, published version

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Cited by in corpus (37)

• Review on Non-Relativistic Gravity
• Dual D-Brane Actions in Nonrelativistic String Theory
• Unification of Decoupling Limits in String and M-theory
• Non-Lorentzian theories with and without constraints
• Nonrelativistic Approximations of Closed Bosonic String Theory
• Aspects of Non-Relativistic Quantum Field Theories
• Worldsheet Formalism for Decoupling Limits in String Theory
• Matrix Theory Reloaded: A BPS Road to Holography
• Non-Lorentzian IIB Supergravity from a Polynomial Realization of SL(2,R)
• Super-Carrollian and Super-Galilean Field Theories
• Generalized Newton-Cartan Geometries for Particles and Strings
• Anisotropic Compactification of Nonrelativistic M-Theory
• The Panorama of Spin Matrix Theory
• Branched SL(2,Z) Duality
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Extending the non-relativistic string AdS coset
• Quantization of Interacting Galilean Field theories
• Supersymmetric Galilean Electrodynamics
• A 3+1 formulation of the 1/c expansion of General Relativity
• Non-relativistic string monodromies
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• Non-Relativistic Holography from AdS${}_5$/CFT${}_4$
• Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity
• Dual Non-Lorentzian Backgrounds for Matrix Theories
• How to Build a Black Hole out of Instantons
• Quantization of Carrollian fermions
• Setting the connection free in the Galilei and Carroll expansions of gravity
• A perturbative approach to the non-relativistic string spectrum
• Formulation of Galilean relativistic Born-Infeld theory
• Traversable wormhole for string, but not for particle
• Non-relativistic quantum strings from gauged WZW models
• Gravitational Core of Double Field Theory: Lecture Notes
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory
• Nonrelativistic expansion of type IIA NS5 brane
• Universal Box Operator: $\mathbf{O}(D,D)$-Symmetry and ${\alpha }^{\prime }$-Corrections
• Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations
• A non-lorentzian primer