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Non-Relativistic Closed String Theory
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We construct a Galilean invariant non-gravitational closed string theory whose excitations satisfy a non-relativistic dispersion relation. This theory can be obtained by taking a consistent low energy limit of any of the conventional string theories, including the heterotic string. We give a finite first order worldsheet Hamiltonian for this theory and show that this string theory has a sensible perturbative expansion, interesting high energy behavior of scattering amplitudes and a Hagedorn transition of the thermal ensemble. The strong coupling duals of the Galilean superstring theories are considered and are shown to be described by an eleven-dimensional Galilean invariant theory of light membrane fluctuations. A new class of Galilean invariant non-gravitational theories of light-brane excitations are obtained. We exhibit dual formulations of the strong coupling limits of these Galilean invariant theories and show that they exhibit many of the conventional dualities of M theory in a non-relativistic setting.
Forward citations
Cited by 13 Pith papers
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From Galilei to Euclidean Carroll and the Alice Particle: The Times They Are a-Changin'
Making time transversal turns p-brane Galilei limits into Euclidean p-brane Carroll limits, yielding for p=0 a centrally extended Alice algebra and Alice particle obtained from critical tachyon limits or two-time null...
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Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geom...
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Heterotic String Sigma Models: Discrete Light Cone Quantization and Its Current-Current Deformation
The authors build a heterotic nonrelativistic string sigma model, show it defines heterotic string theory in DLCQ via T-duality, and recover the relativistic heterotic string through a current-current deformation.
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Non-relativistic quantum strings from gauged WZW models
A chiral null gauging of Nappi-Witten WZW models yields a closed string with a Gomis-Ooguri-like spectrum, but with different left- and right-moving sectors.
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A unified expansion of Einstein's gravity
A unified (s,n)-parametrized expansion of the Einstein-Hilbert action yields Galilean, Carroll, Lorentzian, and string Carroll gravity, and near-horizon black hole geometries satisfy the string Carroll equations.
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Higher-Order Newton-Cartan Gravity
The authors derive non-relativistic Newton-Cartan limits of quadratic gravity theories, obtaining higher-order corrected Poisson equations for Einstein-Gauss-Bonnet and Ricci-squared gravity.
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Traversable wormhole for string, but not for particle
A two-parameter NS-NS wormhole background admits chiral string solutions that cross the singular boundary surfaces that particles and ordinary strings cannot.
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Worldsheet Formalism for Decoupling Limits in String Theory
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
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p-brane Newton--Cartan Geometry
A p-brane Newton-Cartan structure admits a torsion-free compatible affine connection exactly when it is Augustinian, and all such connections are classified by longitudinal-frame field strengths.
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On the Underlying Nonrelativistic Nature of Relativistic Holography
Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.
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Can Non-Relativistic Strings Propagate Without Geometric Baggage?
The paper claims that standard Newton-Cartan geometry is sufficient for classical non-relativistic string propagation, making the auxiliary gauge fields of gauging-the-algebra constructions dynamically redundant.
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Non-relativistic Strings: Classical solutions and exactly solvable models
Non-relativistic strings on R x S2 admit spinning and pulsating solutions whose leading and next-to-leading order dynamics are cast as Neumann-Rosochatius-like solvable models with Bohr-Sommerfeld energy spectra.
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An Introduction to String Newton-Cartan Holography and Integrability
String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.
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