Covariant Phase Space and Carroll-Weyl χ Symmetry of Carroll Non-BPS Dp-branes
Abstract
We analyze the covariant phase space of Klusoň's canonical Carroll non-BPS Dp-brane actions. The Carroll limit is formulated as a contraction of the canonical phase space: the canonical one-form is invariant under the scaling of conjugate pairs, while the leading Hamiltonian constraint differs between the electric-like and magnetic-like sectors. This difference controls the weak closure of the electric-like constraint algebra and the stronger closure of the magnetic-like Hamiltonian brackets. We separate the generic non-BPS sector, which carries D−1 local phase-space degrees of freedom, from the tachyon-vacuum sector, which carries D−2 only after imposing second-class background conditions. We also identify the rank condition for the generic electric-like sector and its strengthening in the vacuum sector. Finally, we show that the Carroll--Weyl χ transformation, the matter-sector analogue of the null-string Carroll--Weyl symmetry, preserves the symplectic form and admits a charge, but is obstructed by the constraints and cannot be promoted to a first-class gauge generator except in highly restricted corners, a global vacuum sector or the singular potential V∝ T−1 at p=1. The obstruction is algebraic in χ, so no restriction of its spacetime profile can remove it. This contrasts with null string theory, where a restricted χ-symmetry can be completed to an additional first-class constraint.
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BibTeX
@misc{zeng2026covariant,
title = {{Covariant Phase Space and Carroll-Weyl $χ$ Symmetry of Carroll Non-BPS D$_p$-branes}},
author = {Limin Zeng},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.08874},
eprint = {2609.08874},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08874},
}
RIS
TY - UNPB
TI - Covariant Phase Space and Carroll-Weyl χ Symmetry of Carroll Non-BPS D_p-branes
AU - Limin Zeng
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2609.08874
UR - https://arxiv.org/abs/2609.08874
AB - We analyze the covariant phase space of Klusoň's canonical Carroll non-BPS D_p-brane actions. The Carroll limit is formulated as a contraction of the canonical phase space: the canonical one-form is invariant under the scaling of conjugate pairs, while the leading Hamiltonian constraint differs between the electric-like and magnetic-like sectors. This difference controls the weak closure of the electric-like constraint algebra and the stronger closure of the magnetic-like Hamiltonian brackets. We separate the generic non-BPS sector, which carries D−1 local phase-space degrees of freedom, from the tachyon-vacuum sector, which carries D−2 only after imposing second-class background conditions. We also identify the rank condition for the generic electric-like sector and its strengthening in the vacuum sector. Finally, we show that the Carroll--Weyl χ transformation, the matter-sector analogue of the null-string Carroll--Weyl symmetry, preserves the symplectic form and admits a charge, but is obstructed by the constraints and cannot be promoted to a first-class gauge generator except in highly restricted corners, a global vacuum sector or the singular potential V∝ T^−1 at p=1. The obstruction is algebraic in χ, so no restriction of its spacetime profile can remove it. This contrasts with null string theory, where a restricted χ-symmetry can be completed to an additional first-class constraint.
ER -