Stringy information and black holes
- PDF / 905,256 Bytes
- 38 Pages / 595.276 x 841.89 pts (A4) Page_size
- 66 Downloads / 207 Views
Springer
Received: December 27, Revised: May 31, Accepted: June 3, Published: June 18,
2019 2020 2020 2020
Amit Giveona and Nissan Itzhakib a
Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel b Physics Department, Tel-Aviv University, Ramat-Aviv, 69978, Israel
E-mail: [email protected], [email protected] Abstract: We show that in string theory, due to non-perturbative effects, there are cases in which two states that semi-classically are completely different, are in fact the same. One state cannot be excited without exciting the other; they are two components of the same state in the exact theory. As a result, in some situations that include black holes, the nature of information in string theory is dramatically different than in field theory. In particular, each general-relativity state, that lives in the atmosphere of black fivebranes, is accompanied with an excitation that lives on folded strings, which fill the black-hole interior. This is likely related to the way that information is extracted from black holes in string theory, and we refer to it as stringy information. Keywords: Black Holes in String Theory, Conformal Field Models in String Theory ArXiv ePrint: 1912.06538
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP06(2020)117
JHEP06(2020)117
Stringy information and black holes
Contents 1 Introduction and summary 1.1 Outline of the paper
1 6
2 Black fivebranes
7 10 10 12 14 16 18
4 Lorentzian physics 4.1 I and W 4.2 F , folded string and EPR 4.3 k = 1 and the BH-string transition
18 19 20 22
5 BH and stringy information
23
6 Discussion
27
A I`,`¯, W`,`¯ and F`,`¯
28
B β ` = −P` (∂w, . . . )
28
C Folded string from AdS3
29
D The construction of WV
32
E Some facts on SL(2, R)/U(1)
33
1
Introduction and summary
Very loosely speaking, there are two scenarios, both of which can be traced to the work of ’t Hooft from about 30 years ago [1, 2], that prevent black holes from destroying information. The brutal and gentle scenarios. In the brutal scenario, there is a mechanism, yet to be found, that prevents information from falling into the black hole (BH). In the gentle scenario, information can fall into the BH, but it is somehow also encoded outside the BH. Being the leading candidate for a theory of quantum gravity, string theory is expected to indicate which way to go. So far, we have learned from string theory, via the AdS/CFT
–1–
JHEP06(2020)117
3 Euclidean hints 3.1 Stringy information and the generalized FZZ duality 3.2 The k = 1 transition 3.3 The fusion F ∼ W + ∗ W − 3.4 The fusion F` ∼ W ∗ W`∗ 3.5 F = I k and BH=GC
correspondence [3], that BHs cannot destroy information, but we still do not understand why — what is the mechanism that encodes the information in the radiation? Is it brutal or gentle? The reason why string theory fails to provide an answer so far is that, in general, we expect non-perturbative effects in the Newton constant, GN ∼ gs2 , where gs is the string coupling, to play a key
Data Loading...
