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A Rindler Road to Carrollian Worldsheets
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abstract
The tensionless limit of string theory has recently been formulated in terms of worldsheet Rindler physics. In this paper, by considering closed strings moving in background Rindler spacetimes, we provide a concrete exemplification of this phenomenon. We first show that strings probing the near-horizon region of a generic non-extremal blackhole become tensionless thereby linking a spacetime Carroll limit to a worldsheet Carroll limit. Then, considering strings in $d$-dimensional Rindler spacetime we find a Rindler structure induced on the worldsheet. Novelties, including folds, appear on the closed string worldsheet pertaining to the formation of the worldsheet horizon. The closed string becomes segmented at these folding points and different segments go into the formation of closed strings in the different Rindler wedges. The Bondi-Metzner-Sachs (BMS) or the Conformal Carroll algebra emerges from the closed string Virasoro algebra as the horizon is hit. Quantum states on these accelerated worldsheets are discussed and we show the formation of boundary states from gluing conditions of the different segments of the accelerated closed string.
Forward citations
Cited by 5 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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On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
The marginal √(T T-bar) deformation of 2D massless scalars provides a dynamical map from relativistic CFT to Carrollian CCFT symmetries, recovering the electric Carroll theory and a novel magnetic counterpart in the e...
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Quantum Anomalies of Tensionless Bosonic Strings
A unified BRST analysis shows the flipped-vacuum anomaly fixes D=26 for the ILST null string, leaves a λ-family of critical dimensions for the hybrid string, and rules out the conformal and Carroll-Weyl strings.
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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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Anisotropic conformal Carroll field theories and their gravity duals
Plane wave spacetimes in three and four dimensions realize anisotropic conformal Carroll algebras as their (asymptotic) symmetry algebras, providing candidate holographic duals for z-anisotropic Carrollian CFTs.
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