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Space-Time Symmetries of Quantized Tensionless Strings
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The tensionless limit of the free bosonic string is space-time conformally symmetric classically. Requiring invariance of the quantum theory in the light cone gauge tests the reparametrization symmetry needed to fix this gauge. The full conformal symmetry gives stronger constraints than the Poincar\'e subalgebra. We find that the symmetry may be preserved in any space-time dimension, but only if the spectrum is drastically reduced (part of this reduction is natural in a zero tension limit of the ordinary string spectrum). The quantum states are required to be symmetric ({\it i.e.} singlets) under space-time diffeomorphisms, except for the centre of mass wave function.
Forward citations
Cited by 7 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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Null Strings Gauged and Reloaded, I: Null Strings Have Carroll-Weyl Gauge Symmetry
Null strings admit two Carroll-Weyl gauge scalings; the standard ILST action arises by fixing one of them, with the residual symmetry matching an overlooked partial gauge symmetry identified in prior work.
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Path integral quantization of null bosonic strings with Carroll-Weyl ghosts
Null bosonic string quantization on Carrollian worldsheets requires an extra scalar ghost pair for Carroll-Weyl scaling, yielding a bcs system that alters the BRST complex and anomaly cancellation beyond the standard ...
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Null Strings Gauged and Reloaded, II: Consistent Classical Treatment of the Null Strings
Null strings exhibit an independent Carroll-Weyl gauge symmetry that necessitates an extended BMS₃ algebra of constraints.
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On the Underlying Nonrelativistic Nature of Relativistic Holography
Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.
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The conformal null string in $d+2$ and $d$ dimensions
The conformal null string reduces from d+2 to d dimensions via Dirac slices, with the Virasoro-su(1,1) algebra mapping to Carrollian-Weyl symmetry.
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Symmetries of tensionless strings
The scale transformation symmetry of tensionless strings has been treated in numerous prior classical and quantum studies.
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