Evolution of segmented strings
Abstract
Here, I explain how to evolve segmented strings in de Sitter and anti-de Sitter spaces of any dimension in terms of forward-directed null displacements. The evolution is described entirely in terms of discrete hops which do not require a continuum spacetime. Moreover, the evolution rule is purely algebraic, so it can be defined not only on ordinary real de Sitter and anti-de Sitter but also on the rational points of the quadratic equations that define these spaces. For three-dimensional anti-de Sitter space, a simpler evolution rule is possible that descends from the Wess-Zumino-Witten equations of motion. In this case, one may replace three-dimensional anti-de Sitter space by a noncompact discrete subgroup of SL (2, R) whose structure is related to the Pell equation. A discrete version of the Baados-Teitelboim-Zanelli (BTZ) black hole can be constructed as a quotient of this subgroup. Furthermore, this discrete black hole avoids the firewall paradox by a curious mechanism: even for large black holes, there are no points inside the horizon until one reaches the singularity.
- Authors:
-
- Princeton Univ., Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1353516
- Alternate Identifier(s):
- OSTI ID: 1332026
- Grant/Contract Number:
- FG02-91ER40671
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Black-hole
Citation Formats
Gubser, Steven S. Evolution of segmented strings. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.94.106007.
Gubser, Steven S. Evolution of segmented strings. United States. https://doi.org/10.1103/PhysRevD.94.106007
Gubser, Steven S. Mon .
"Evolution of segmented strings". United States. https://doi.org/10.1103/PhysRevD.94.106007. https://www.osti.gov/servlets/purl/1353516.
@article{osti_1353516,
title = {Evolution of segmented strings},
author = {Gubser, Steven S.},
abstractNote = {Here, I explain how to evolve segmented strings in de Sitter and anti-de Sitter spaces of any dimension in terms of forward-directed null displacements. The evolution is described entirely in terms of discrete hops which do not require a continuum spacetime. Moreover, the evolution rule is purely algebraic, so it can be defined not only on ordinary real de Sitter and anti-de Sitter but also on the rational points of the quadratic equations that define these spaces. For three-dimensional anti-de Sitter space, a simpler evolution rule is possible that descends from the Wess-Zumino-Witten equations of motion. In this case, one may replace three-dimensional anti-de Sitter space by a noncompact discrete subgroup of SL (2, R) whose structure is related to the Pell equation. A discrete version of the Baados-Teitelboim-Zanelli (BTZ) black hole can be constructed as a quotient of this subgroup. Furthermore, this discrete black hole avoids the firewall paradox by a curious mechanism: even for large black holes, there are no points inside the horizon until one reaches the singularity.},
doi = {10.1103/PhysRevD.94.106007},
journal = {Physical Review D},
number = 10,
volume = 94,
place = {United States},
year = {Mon Nov 14 00:00:00 EST 2016},
month = {Mon Nov 14 00:00:00 EST 2016}
}
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Works referencing / citing this record:
p-Adic AdS/CFT
journal, January 2017
- Gubser, Steven S.; Knaute, Johannes; Parikh, Sarthak
- Communications in Mathematical Physics, Vol. 352, Issue 3