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String Theory and non-Riemannian Geometry
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abstract
The $\mathbf{O}(D,D)$ covariant generalized metric, postulated as a truly fundamental variable, can describe novel geometries where the notion of Riemannian metric ceases to exist. Here we quantize a closed string upon such backgrounds and identify flat, anomaly-free, non-Riemannian string vacua in the familiar critical dimension, $D{=26}$ (or $D{=10}$). Remarkably, the whole BRST closed string spectrum is restricted to just one level with no tachyon, and matches the linearized equations of motion of Double Field Theory. Taken as an internal space, our non-Riemannian vacua may open up novel avenues alternative to traditional string compactification.
Forward citations
Cited by 3 Pith papers
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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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The non-relativistic limit of HSZ Theory
The non-relativistic limit of HSZ theory produces non-removable metric and b-field transformation corrections, and a finite four-derivative action requires field redefinitions before the limit.
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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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