A Rindler Road to Carrollian Worldsheets

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.

48 pages, various figures, slightly revised version to appear in JHEP

References in corpus (13)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The BMS/GCA correspondence
• Conformal Carroll groups and BMS symmetry
• Galilean Conformal Algebras and AdS/CFT
• Flat Holography: Aspects of the dual field theory
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Entanglement entropy in Galilean conformal field theories and flat holography
• Conformal Carroll groups
• Flat-Space Chiral Gravity
• Tensionless Superstrings: View from the Worldsheet
• Rindler on the Worldsheet
• Near-Horizon BMS Symmetry, Dimensional Reduction, and Black Hole Entropy
• Tensionless Tales: Vacua and Critical Dimensions

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• Carroll fermions in two dimensions
• Galilean Gauge Theories from Null Reductions
• Horizon Strings as 3d Black Hole Microstates
• Carrollian Yang-Mills Theory
• Longitudinal Galilean and Carrollian limits of non-relativistic strings
• Carrollian limit of quadratic gravity
• Uniqueness of Galilean and Carrollian limits of gravitational theories and application to higher derivative gravity
• Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space
• Chaotic and Thermal Aspects in the Highly Excited String S-Matrix
• Complexity growth of BTZ black hole in massive gravity with a null string
• Tropological Sigma Models
• Anisotropic conformal Carroll field theories and their gravity duals
• Strings, Virasoro Sandwiches and Worldsheet Horizons
• Carroll black holes in (A)dS and their higher-derivative modifications
• Universal sectors of two-dimensional Carrollian CFTs
• Null Strings Gauged and Reloaded, I: Null Strings Have Carroll-Weyl Gauge Symmetry
• Null Strings Gauged and Reloaded, II: Consistent Classical Treatment of the Null Strings
• Rotating Carroll Black Holes: A No Go Theorem
• Strings near BTZ black holes: A Carrollian Chronicle
• On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT