Abstract
We examine the quantum null energy condition (QNEC) for a 2+1-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a novel 3+1-dimensional vacuum AdS black hole solution with nontrivial topology, which is dual to a wormhole geometry connecting two flat universes. Although the bulk null energy condition (NEC) is not violated, the NEC for the holographic stress-energy tensor is violated near the wormhole throat. Next, we investigate the entanglement entropy for a half-space anchored to the boundary wormhole throat. We propose a natural prescription for regularizing the IR divergent part of the entanglement entropy and show that the QNEC is violated at the throat. This is the first counterexample to the QNEC, indicating that IR effects are crucial.
| Original language | English |
|---|---|
| Article number | 026004 |
| Journal | Physical Review D |
| Volume | 99 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2019 Jan 15 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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Violation of the quantum null-energy condition in a holographic wormhole and infrared effects. / Ishibashi, Akihiro; Maeda, Kengo; Mefford, Eric.
In: Physical Review D, Vol. 99, No. 2, 026004, 15.01.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Violation of the quantum null-energy condition in a holographic wormhole and infrared effects
AU - Ishibashi, Akihiro
AU - Maeda, Kengo
AU - Mefford, Eric
PY - 2019/1/15
Y1 - 2019/1/15
N2 - We examine the quantum null energy condition (QNEC) for a 2+1-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a novel 3+1-dimensional vacuum AdS black hole solution with nontrivial topology, which is dual to a wormhole geometry connecting two flat universes. Although the bulk null energy condition (NEC) is not violated, the NEC for the holographic stress-energy tensor is violated near the wormhole throat. Next, we investigate the entanglement entropy for a half-space anchored to the boundary wormhole throat. We propose a natural prescription for regularizing the IR divergent part of the entanglement entropy and show that the QNEC is violated at the throat. This is the first counterexample to the QNEC, indicating that IR effects are crucial.
AB - We examine the quantum null energy condition (QNEC) for a 2+1-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a novel 3+1-dimensional vacuum AdS black hole solution with nontrivial topology, which is dual to a wormhole geometry connecting two flat universes. Although the bulk null energy condition (NEC) is not violated, the NEC for the holographic stress-energy tensor is violated near the wormhole throat. Next, we investigate the entanglement entropy for a half-space anchored to the boundary wormhole throat. We propose a natural prescription for regularizing the IR divergent part of the entanglement entropy and show that the QNEC is violated at the throat. This is the first counterexample to the QNEC, indicating that IR effects are crucial.
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U2 - 10.1103/PhysRevD.99.026004
DO - 10.1103/PhysRevD.99.026004
M3 - Article
AN - SCOPUS:85060895427
VL - 99
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 026004
ER -