Carroll-Weyl gauged null strings in AdS
Abstract
We study the Carroll-Weyl gauged null string in the Poincaré patch of AdSD and its BRST quantization. In Poincaré coordinates XA=(z,xi), the radial conformal Killing vector K=∂z becomes homothetic in a suitable conformally related frame. A field-dependent rescaling of the homothetic Hamiltonian constraint then leads to the radial-adapted basis ℳ=1/2(Pz2+PiPi), ℒ=−PAX'A, and 𝒮=Pz, with ℳ invariant along the Carroll-Weyl radial flow. Their modes form a BMS3 algebra extended by an abelian weight-one current. We classify the central extensions allowed by this residual algebra and find four independent cohomology classes in the LL, LM, LS, and SS channels. We then construct the associated BRST complex, including the ghost pair for the radial Carroll-Weyl constraint. In the canonical highest-weight first-order representation, only the Virasoro-type central extension is realized: (cLL,cLM,cLS,cSS)=(2D−54,0,0,0). Cancellation of the corresponding nontrivial BRST cocycle therefore gives D=27 in this representation. This differs structurally from the minimal flat Carroll-Weyl theory, where the dilation constraint X· P gives extra anomaly channels.
Related
- BRST quantization of Carroll-Weyl gauged null strings
- Reflected constraint algebras of open Carroll--Weyl null strings
- (Anti-)De Sitter null strings and Carroll-Weyl symmetry
- Path integral quantization of null bosonic strings with Carroll-Weyl ghosts
- Path integral quantization of null bosonic strings with Carroll-Weyl ghosts
BibTeX
@misc{duary2026carrollweyl,
title = {{Carroll-Weyl gauged null strings in AdS}},
author = {Sarthak Duary and Sourav Maji},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.10717},
eprint = {2610.10717},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.10717},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Carroll-Weyl gauged null strings in AdS
AU - Sarthak Duary
AU - Sourav Maji
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.10717
UR - https://arxiv.org/abs/2610.10717
AB - We study the Carroll-Weyl gauged null string in the Poincaré patch of AdS_D and its BRST quantization. In Poincaré coordinates X^A=(z,x^i), the radial conformal Killing vector K=∂_z becomes homothetic in a suitable conformally related frame. A field-dependent rescaling of the homothetic Hamiltonian constraint then leads to the radial-adapted basis ℳ=1/2(P_z^2+P_iP^i), ℒ=−P_AX'^A, and 𝒮=P_z, with ℳ invariant along the Carroll-Weyl radial flow. Their modes form a BMS_3 algebra extended by an abelian weight-one current. We classify the central extensions allowed by this residual algebra and find four independent cohomology classes in the LL, LM, LS, and SS channels. We then construct the associated BRST complex, including the ghost pair for the radial Carroll-Weyl constraint. In the canonical highest-weight first-order representation, only the Virasoro-type central extension is realized: (c_LL,c_LM,c_LS,c_SS)=(2D−54,0,0,0). Cancellation of the corresponding nontrivial BRST cocycle therefore gives D=27 in this representation. This differs structurally from the minimal flat Carroll-Weyl theory, where the dilation constraint X· P gives extra anomaly channels.
ER -