Boundary energy density and null propagation in global AdS3/CFT2
- 1Kyoto University
Abstract
A bstract : We study how bulk propagation in global AdS ₃ is reflected in boundary energy densities of the dual CFT ₂ on the cylinder. A key feature of the global geometry, which is absent in the Poincaré-patch description, is that a null excitation emitted from the boundary reaches the antipodal boundary point after ∆ τ = π and returns to the original boundary point after ∆ τ = 2 π . We show that the CFT energy density reproduces this sequence through two chiral peaks that move along the boundary light-cone directions, meet at the antipodal point, and return to the original point after one global period. For a wave-packet state, the leading energy density consists of two chiral peaks moving along the boundary light-cone directions; their relative weights encode the impact parameter of the corresponding bulk null ray. For a state constructed from an operator of large conformal dimension with a Euclidean time regulator (LCD state), the exact cylinder stress tensor gives two periodic chiral pulses moving along the boundary light-cone directions. These pulses reach the antipodal point and return to the original point at the same global times as the radial null geodesic in the bulk. Thus the boundary energy density provides a time-dependent boundary profile that reflects characteristic global features of null propagation in AdS ₃ .
Related
- Global Integrated Null Energy Contribution : Classification of Traversable Wormholes
- Null String Holography, Null Strings Probe Projective Boundary of Their Target Spaces
- Boundary-induced medium mapping enables air-equivalent acoustic propagation and perfect absorption in water
- Light-Ray Supersymmetry, BMS Algebras and the Averaged Null Energy Condition
- Sharp null-energy lower bounds for Page-like entropy excursions in two-dimensional conformal field theory
BibTeX
@article{yoshikawa2026boundary,
title = {{Boundary energy density and null propagation in global AdS3/CFT2}},
author = {Shiki Yoshikawa},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)075},
url = {https://link.springer.com/10.1007/JHEP10(2026)075},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Boundary energy density and null propagation in global AdS3/CFT2
AU - Shiki Yoshikawa
PY - 2026
DA - 2026/10/07
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)075
UR - https://link.springer.com/10.1007/JHEP10(2026)075
AB - A bstract : We study how bulk propagation in global AdS ₃ is reflected in boundary energy densities of the dual CFT ₂ on the cylinder. A key feature of the global geometry, which is absent in the Poincaré-patch description, is that a null excitation emitted from the boundary reaches the antipodal boundary point after ∆ τ = π and returns to the original boundary point after ∆ τ = 2 π . We show that the CFT energy density reproduces this sequence through two chiral peaks that move along the boundary light-cone directions, meet at the antipodal point, and return to the original point after one global period. For a wave-packet state, the leading energy density consists of two chiral peaks moving along the boundary light-cone directions; their relative weights encode the impact parameter of the corresponding bulk null ray. For a state constructed from an operator of large conformal dimension with a Euclidean time regulator (LCD state), the exact cylinder stress tensor gives two periodic chiral pulses moving along the boundary light-cone directions. These pulses reach the antipodal point and return to the original point at the same global times as the radial null geodesic in the bulk. Thus the boundary energy density provides a time-dependent boundary profile that reflects characteristic global features of null propagation in AdS ₃ .
SN - 1029-8479
ER -