Towering gravitons in AdS3/CFT2
- 1Nagoya University
- 2Kyoto University
Abstract
BPS states in holographic CFTs are usually classified into supergravitons, namely BPS fluctuations around empty AdS, and black-hole microstates, which appear above an energy threshold. In AdS3/CFT2, however, this picture is incomplete because of additional degrees of freedom, called singletons, associated with boundary diffeomorphisms. We present a general procedure for extending the BPS spectrum of supergravitons by dressing them with singletons, thereby defining a generalized, gravity-sector Hilbert space in CFT that admits a decomposition into affine multiplets of the full superconformal algebra. This extends the procedure previously proposed in [1] which was applicable only at low levels, by removing that limitation. We apply the new procedure to the D1-D5 CFT SymN (T 4) and explicitly construct affine multiplets in the gravity sector for the N = 2 theory up to level h = 2. We find that, at the free orbifold point, the gravity-sector spectrum agrees with the CFT spectrum up to h=1/2. Upon turning on a deformation, however, states at h = 1 lift and the agreement improves to h=3/2. Interestingly, the lifting occurs between states in the gravity sector, involving mixtures of supergravitons and singletons, and stringy states. In the cases we consider we find that, upon deformation, the gravity-sector Hilbert space becomes the monotone Hilbert space while its complement becomes the fortuitous Hilbert space.
Related
- Boundary energy density and null propagation in global AdS3/CFT2
- Liouville strings in AdS3: the worldsheet story
- Breaking of integrability in elliptic deformations of AdS3 strings with mixed flux
- Holographic multipartite entanglement dynamics in AdS3-Vaidya
- Massive scalar's self-mass from gravitons in de Sitter
BibTeX
@article{hughes2026towering,
title = {{Towering gravitons in AdS3/CFT2}},
author = {Marcel R. R. Hughes and Kohei Jin and Daiki Matsumoto and Leon Miyahara and Masaki Shigemori},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)253},
url = {https://link.springer.com/article/10.1007/JHEP10(2026)253},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Towering gravitons in AdS3/CFT2
AU - Marcel R. R. Hughes
AU - Kohei Jin
AU - Daiki Matsumoto
AU - Leon Miyahara
AU - Masaki Shigemori
PY - 2026
DA - 2026/10/26
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)253
UR - https://link.springer.com/article/10.1007/JHEP10(2026)253
AB - BPS states in holographic CFTs are usually classified into supergravitons, namely BPS fluctuations around empty AdS, and black-hole microstates, which appear above an energy threshold. In AdS3/CFT2, however, this picture is incomplete because of additional degrees of freedom, called singletons, associated with boundary diffeomorphisms. We present a general procedure for extending the BPS spectrum of supergravitons by dressing them with singletons, thereby defining a generalized, gravity-sector Hilbert space in CFT that admits a decomposition into affine multiplets of the full superconformal algebra. This extends the procedure previously proposed in [1] which was applicable only at low levels, by removing that limitation. We apply the new procedure to the D1-D5 CFT SymN (T 4) and explicitly construct affine multiplets in the gravity sector for the N = 2 theory up to level h = 2. We find that, at the free orbifold point, the gravity-sector spectrum agrees with the CFT spectrum up to h=1/2. Upon turning on a deformation, however, states at h = 1 lift and the agreement improves to h=3/2. Interestingly, the lifting occurs between states in the gravity sector, involving mixtures of supergravitons and singletons, and stringy states. In the cases we consider we find that, upon deformation, the gravity-sector Hilbert space becomes the monotone Hilbert space while its complement becomes the fortuitous Hilbert space.
SN - 1029-8479
ER -