W ∞ Algebra in Two-Dimensional Black Holes

1993 ◽  
pp. 159-167
Author(s):  
Tohru Eguchi ◽  
Hiroaki Kanno ◽  
Sung-Kil Yang
Keyword(s):  
Black Holes ◽  
Two Dimensional

scholarly journals Islands in linear dilaton black holes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Georgios K. Karananas ◽  
Alex Kehagias ◽  
John Taskas
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Entanglement Entropy ◽  
Von Neumann Entropy ◽  
Two Dimensional ◽  
Extremal Case ◽  
Von Neumann ◽  
Dimensional Black Hole ◽  
Linear Dilaton ◽  
Linear Dilaton Black Hole

Abstract We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page’s time is established. After that, emergent islands modify to a large extent the entropy, which becomes finite and is saturated by its Bekenstein-Hawking value in accordance with the finiteness of the von Neumann entropy of eternal black holes. We demonstrate that viewed from the string frame, our solution is the two-dimensional Witten black hole with two additional free bosons. We generalize our findings by considering a general class of linear dilaton black hole solutions at a generic point along the σ-model renormalization group (RG) equations. For those, we observe that the entanglement entropy is “running” i.e. it is changing along the RG flow with respect to the two-dimensional worldsheet length scale. At any fixed moment before Page’s time the aforementioned entropy increases towards the infrared (IR) domain, whereas the presence of islands leads the running entropy to decrease towards the IR at later times. Finally, we present a four-dimensional charged black hole that asymptotes to the linear dilaton background as well. We compute the associated entanglement entropy for the extremal case and we find that an island is needed in order for it to follow the Page curve.

scholarly journals Two-dimensional black holes in a higher derivative gravity and matrix model

2008 ◽  
Vol 794 (1-2) ◽  
pp. 28-45 ◽  
Author(s):  
Kwangho Hur ◽  
Seungjoon Hyun ◽  
Hongbin Kim ◽  
Sang-Heon Yi
Keyword(s):  
Black Holes ◽  
Matrix Model ◽  
Two Dimensional ◽  
Higher Derivative

scholarly journals Are black holes really two dimensional?

Physics ◽  
2009 ◽  
Vol 2 ◽  
Author(s):  
Vijay Balasubramanian
Keyword(s):  
Black Holes ◽  
Two Dimensional

scholarly journals c< 1 string from two dimensional black holes

2005 ◽  
Vol 2005 (07) ◽  
pp. 050-050 ◽  
Author(s):  
Tadashi Takayanagi
Keyword(s):  
Black Holes ◽  
Two Dimensional

scholarly journals ON THE CFT DUALS FOR NEAR-EXTREMAL BLACK HOLES

2011 ◽  
Vol 26 (22) ◽  
pp. 1601-1611 ◽  
Author(s):  
JØRGEN RASMUSSEN
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Black Hole ◽  
Conformal Field Theory ◽  
Two Dimensional ◽  
Conformal Field ◽  
Horizon Geometry ◽  
Cardy Formula ◽  
Asymptotic Symmetries ◽  
Extremal Black Holes

We consider Kerr–Newman–AdS–dS black holes near extremality and work out the near-horizon geometry of these near-extremal black holes. We identify the exact U (1)L× U (1)R isometries of the near-horizon geometry and provide boundary conditions enhancing them to a pair of commuting Virasoro algebras. The conserved charges of the corresponding asymptotic symmetries are found to be well-defined and nonvanishing and to yield central charges cL≠0 and cR = 0. The Cardy formula subsequently reproduces the Bekenstein–Hawking entropy of the black hole. This suggests that the near-extremal Kerr–Newman–AdS–dS black hole is holographically dual to a non-chiral two-dimensional conformal field theory.

scholarly journals Charged black holes in two-dimensional string theory

1992 ◽  
Vol 375 (2) ◽  
pp. 421-450 ◽  
Author(s):  
Michael D. McGuigan ◽  
Chiara R. Nappi ◽  
Scott A. Yost
Keyword(s):  
Black Holes ◽  
String Theory ◽  
Two Dimensional ◽  
Charged Black Holes
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