Kerr/CFT Traversable Wormhole with Fermionic Double-Trace Deformation
Abstract
The construction of a traversable wormhole with double-trace deformation has been achieved so far by using boson fields as the perturbation. In this work, we study double-trace deformation with fermion fields in the two-sided Kerr background to open a traversable wormhole. We construct the fermionic double-trace deformation within the Kerr/CFT framework. We consider the near-horizon, near-extremal Kerr geometry, which is dual to a conformal field theory. The lack of fermionic superradiance let us describe the wormhole at every region, even at the off-axis region where bosonic field experiences instability due to superradiance. By choosing a certain coupling between the left and right boundaries, the two-point function is modified, and its first order correction contributes the negative energy to open the wormhole. The wormhole is most traversable when the perturbation is turned on at early times, with opening that depends on the mode's frequency, the black hole temperature, and the fermion mass. At late times, the average null energy has damped oscillation behavior until eventually reaches zero. Wormhole with lower temperature have less traversability and it is completely closed at extreme limit. The same traversability can also be reproduced by using eikonal method. On the other hand, rotation and the number of fields involved in the deformation can increases the upper bound on information transfer up to the order of the entropy. Additionally, symmetrical effective potential bumps connected by the wormhole can produce observable echoes. We find that the echo time delay cannot exceed the scrambling time of the black hole.
Related
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BibTeX
@misc{djogama2026kerrcft,
title = {{Kerr/CFT Traversable Wormhole with Fermionic Double-Trace Deformation}},
author = {M. Zhahir Djogama and Fitria Khairunnisa and Hadyan Luthfan Prihadi and Freddy Permana Zen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.05011},
eprint = {2605.05011},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.05011},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Kerr/CFT Traversable Wormhole with Fermionic Double-Trace Deformation
AU - M. Zhahir Djogama
AU - Fitria Khairunnisa
AU - Hadyan Luthfan Prihadi
AU - Freddy Permana Zen
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2605.05011
UR - https://arxiv.org/abs/2605.05011
AB - The construction of a traversable wormhole with double-trace deformation has been achieved so far by using boson fields as the perturbation. In this work, we study double-trace deformation with fermion fields in the two-sided Kerr background to open a traversable wormhole. We construct the fermionic double-trace deformation within the Kerr/CFT framework. We consider the near-horizon, near-extremal Kerr geometry, which is dual to a conformal field theory. The lack of fermionic superradiance let us describe the wormhole at every region, even at the off-axis region where bosonic field experiences instability due to superradiance. By choosing a certain coupling between the left and right boundaries, the two-point function is modified, and its first order correction contributes the negative energy to open the wormhole. The wormhole is most traversable when the perturbation is turned on at early times, with opening that depends on the mode's frequency, the black hole temperature, and the fermion mass. At late times, the average null energy has damped oscillation behavior until eventually reaches zero. Wormhole with lower temperature have less traversability and it is completely closed at extreme limit. The same traversability can also be reproduced by using eikonal method. On the other hand, rotation and the number of fields involved in the deformation can increases the upper bound on information transfer up to the order of the entropy. Additionally, symmetrical effective potential bumps connected by the wormhole can produce observable echoes. We find that the echo time delay cannot exceed the scrambling time of the black hole.
ER -