Null Strings Gauged and Reloaded, II: Consistent Classical Treatment of the Null Strings

Abstract

We observed that the null strings, tensionless strings with Carrollian worldsheets, exhibit an extra gauge symmetry, \textit{Carroll-Weyl} gauge symmetry, which cannot be obtained from ultra-relativistic Carrollian limit of tensile strings. Due to the existence of this symmetry, the BMS${}_3$ algebra of constraints, which is obtained as the Carrollian limit of two Virasoro algebras of the standard tensile strings, should be replaced with an BMS${}_3$ algebra extended by a weight one operator. To establish further the existence and necessity of the Carroll-Weyl gauge symmetry, we carefully work through Hamiltonian analyses of constrained/gauged systems. We also discuss the extended BMS${}_3$ algebra of constraints.

12 pages, a companion to arXiv:2605.12414 and arXiv:2605.25817, references updated, comments added

References in corpus (10)

• Classical and Quantized Tensionless Strings
• Null boundary phase space: slicings, news and memory
• Symmetries at Null Boundaries: Two and Three Dimensional Gravity Cases
• A Tale of Three. Tensionless strings and vacuum structure
• Space-Time Symmetries of Quantized Tensionless Strings
• The tensionless path from closed to open strings
• Rindler on the Worldsheet
• Hamiltonian BRST Quantization of the Conformal String
• A Rindler Road to Carrollian Worldsheets
• Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space