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Nonrelativistic String Theory in Background Fields
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Nonrelativistic String Theory in Background Fields
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Nonrelativistic string theory is a unitary, ultraviolet finite quantum gravity theory with a nonrelativistic string spectrum. The vertex operators of the worldsheet theory determine the spacetime geometry of nonrelativistic string theory, known as the string Newton-Cartan geometry. We compute the Weyl anomaly of the nonrelativistic string worldsheet sigma model describing strings propagating in a string Newton-Cartan geometry, Kalb-Ramond and dilaton background. We derive the equations of motion that dictate the backgrounds on which nonrelativistic string theory can be consistently defined quantum mechanically. The equations of motion we find from our study of the conformal anomaly of the worldsheet theory are to nonrelativistic string theory what the (super)gravity equations of motion are to relativistic string theory.
Forward citations
Cited by 6 Pith papers
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Carrollian limit of NS-NS and Heterotic Supergravity
Ultra-relativistic expansion plus dilaton scaling produces finite covariant Carrollian NS-NS and heterotic supergravity actions, with trivializable Green-Schwarz for the 1-form and finite leading Riem^{2} α' corrections.
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Carrollian limit of NS-NS and Heterotic Supergravity
A finite Carrollian limit of NS-NS and heterotic supergravity is constructed by field expansion, including a gauge sector, a Green-Schwarz mechanism analysis, and a finite leading α' correction.
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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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Curvatures and Non-metricities in the Non-Relativistic Limit of Bosonic Supergravity
A metric-only, torsionless-connection formulation with fixed non-metricities rewrites the non-relativistic limit of bosonic supergravity covariantly and matches the vielbein string Newton-Cartan action at Lagrangian level.
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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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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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