Reflected constraint algebras of open Carroll--Weyl null strings

We construct a classical reflected phase space for open Carroll--Weyl null strings with Dirichlet conditions at the target origin or linear mixed target gluings. The reflection-compatible constraints are differentiable, their Hamiltonian flows preserve the boundary domain, and the constraint system is weakly first class on its regular part. The induced boundary algebra extends the boundary Carrollian conformal algebra by an even weight-one Carroll--Weyl current, with normalization fixed by the reflected symplectic form. The regular local embedding count agrees with that of the closed theory. We exhibit a four-dimensional mixed sector with one canonical field pair and a separate solution family carrying a nonzero conserved target-space boost charge and a nondegenerate symplectic pullback. Smooth fixed-point reflection selects characteristic endpoints. For timelike defects with natural tangential variations and no additional boundary interactions, non-characteristic endpoints have vanishing Carroll flow. For displaced Dirichlet data, we derive the canonical affine lift and its required shift of the edge momentum by integrated bulk momentum.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-27
DOI
https://doi.org/10.48550/arxiv.2610.37546
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Reflected constraint algebras of open Carroll--Weyl null strings

Limin Zeng
arXiv (Cornell University)
Black Holes and Theoretical Physics
preprint

Reflected constraint algebras of open Carroll--Weyl null strings

Limin Zeng
preprint en

Abstract

We construct a classical reflected phase space for open Carroll--Weyl null strings with Dirichlet conditions at the target origin or linear mixed target gluings. The reflection-compatible constraints are differentiable, their Hamiltonian flows preserve the boundary domain, and the constraint system is weakly first class on its regular part. The induced boundary algebra extends the boundary Carrollian conformal algebra by an even weight-one Carroll--Weyl current, with normalization fixed by the reflected symplectic form. The regular local embedding count agrees with that of the closed theory. We exhibit a four-dimensional mixed sector with one canonical field pair and a separate solution family carrying a nonzero conserved target-space boost charge and a nondegenerate symplectic pullback. Smooth fixed-point reflection selects characteristic endpoints. For timelike defects with natural tangential variations and no additional boundary interactions, non-characteristic endpoints have vanishing Carroll flow. For displaced Dirichlet data, we derive the canonical affine lift and its required shift of the edge momentum by integrated bulk momentum.

arXiv (Cornell University)
Black Holes and Theoretical Physics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Reflected constraint algebras of open Carroll--Weyl null strings — Limin Zeng · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS