Kerr/CFT Traversable Wormhole with Fermionic Double-Trace Deformation

Fuente: arXiv
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Autori principali: Djogama, M. Zhahir, Khairunnisa, Fitria, Prihadi, Hadyan Luthfan, Zen, Freddy Permana
Natura: Preprint
Pubblicazione: 2026
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author Djogama, M. Zhahir
Khairunnisa, Fitria
Prihadi, Hadyan Luthfan
Zen, Freddy Permana
author_facet Djogama, M. Zhahir
Khairunnisa, Fitria
Prihadi, Hadyan Luthfan
Zen, Freddy Permana
contents 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. On the other hand, rotation near extreme limit 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_05011
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Kerr/CFT Traversable Wormhole with Fermionic Double-Trace Deformation
Djogama, M. Zhahir
Khairunnisa, Fitria
Prihadi, Hadyan Luthfan
Zen, Freddy Permana
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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. On the other hand, rotation near extreme limit 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.
title Kerr/CFT Traversable Wormhole with Fermionic Double-Trace Deformation
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2605.05011