6D black string as a model of the AdS/CFT correspondence
Y.S. Myung, N.J. Kim, H.W. Lee (Inje University)
TL;DR
This paper models the AdS/CFT correspondence using a 6D black string with traveling waves, analyzing entropy for extremal BTZ and EBTZ black holes embedded in higher dimensions.
Contribution
It introduces a 6D black string with traveling waves as a concrete model to realize the AdS/CFT correspondence and connects entropy counting with momentum distribution.
Findings
EBTZ black hole is consistent with AdS/CFT.
Traveling waves carry momentum crucial for entropy calculation.
The model links higher-dimensional black strings to lower-dimensional black holes.
Abstract
We discuss the entropy for the extremal BTZ black hole and the extremal EBTZ black hole. The EBTZ black hole means the BTZ black hole embedded in a five-dimensional(5D) black hole. The six-dimensional(6D) black string with traveling waves is introduced as a concrete model for realizing the AdS/CFT correspondence. The traveling waves carry the momentum distribution which plays an important role in counting the entropy and establishing the correspondence. It turns out that the EBTZ black hole is consistent with the AdS/CFT correspondence.
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