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Strings near black holes are Carrollian
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We demonstrate that strings near the horizon of a Schwarzschild black hole, when viewed by a stationary observer at infinity, probe a string Carroll geometry, where the effective lightspeed is given by the distance from the horizon. We expand the Polyakov action in powers of this lightspeed to find a theory of Carrollian strings. We show that the string shrinks to a point to leading order near the horizon, which follows a null geodesic in a two-dimensional Rindler space. At the next-to-leading order the string oscillates in the embedding fields associated with the near-horizon two-sphere.
Forward citations
Cited by 6 Pith papers
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Null-strings Gauged, Reloaded and Quantized, I: Canonical Quantization in the Light-Cone Gauge
Light-cone Schrödinger quantization of null-strings with Carroll-Weyl symmetry yields D-3 physical modes, a discrete spectrum, and no critical dimension.
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Scaling Symmetry and Carrollian Gravity
A single scaling-Carroll gauge-theory construction interpolates between dynamical Carroll gravity, Aristotelian gravity, and fracton gauge theories coupled to curved space.
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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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An Inconsistency in the Null Strings Literature: The Tale of an Overlooked Symmetry
The paper claims a new local symmetry of null strings forces a third constraint, giving D−3 physical degrees of freedom.
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The extremal Reissner-Nordstr\"om throat from non extremal near horizon expansions
String Carroll first-order data miss the RN AdS2×S2 throat; second-order (EF) or all-order radial (static) terms restore it under near-extremal scaling.
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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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