Thin-shell wormholes in AdS 5 and string dioptrics
- PDF / 659,835 Bytes
- 27 Pages / 595.276 x 841.89 pts (A4) Page_size
- 50 Downloads / 200 Views
Springer
Received: June 22, Revised: August 28, Accepted: September 5, Published: October 2,
2020 2020 2020 2020
Thin-shell wormholes in AdS5 and string dioptrics
a
Departamento de F´ısica, Facultad de Ciencias, Universidad Nacional Aut´ onoma de M´exico, A.P. 70-542, CDMX 04510, M´exico b Physics Department, University of Buenos Aires and IFIBA-CONICET, Ciudad Universitaria, pabell´ on 1 (1428) Buenos Aires, Argentina
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We consider string probes in a traversable wormhole geometry that connects two locally AdS5 asymptotic regions. Holographically, this describes two interacting copies of a 4-dimensional gauge theory. We consider string configurations whose endpoints are located either in the same boundary or in the two different boundaries of the wormhole. A string with both endpoints in the same boundary is dual to a quark-antiquark pair charged under the same gauge field, while a string extending through the wormhole describes a pair of colored particles charged under two different gauge fields. When one considers a quark-antiquark pair in each boundary, the system undergoes a phase transition: while for small separation each pair of charges exhibits Coulomb interaction, for large separation the charges in different field theories pair up. This behavior had previously been observed in other geometric realizations such as locally AdS5 wormhole solutions with hyperbolic throats. The geometries we consider here, in contrast, are stable thin-shell wormholes with flat codimension-one hypersurfaces at fixed radial coordinate. They appear as electrovacuum solutions of higher-curvature gravity theories coupled to Abelian gauge fields. The presence of the thin-shells produces a refraction of the string configurations in the bulk, leading to the presence of cusps in the phase space diagram. We discuss these and other features of the phase diagram, including the analogies and difference with other wormhole solutions considered in related contexts. Keywords: AdS-CFT Correspondence, Gauge-gravity correspondence, Chern-Simons Theories ArXiv ePrint: 2006.07428
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)019
JHEP10(2020)019
Mariano Chernicoff,a Edel Garc´ıa,a Gaston Giribetb and Emilio Rub´ın de Celisb
Contents 1 Introduction
1
2 Traversable wormholes 2.1 The higher-curvature theory 2.2 Thin-shell wormholes at the Chern-Simons point
4 4 5 8 8 10
4 Phase space 4.1 U-shaped strings 4.1.1 U-shaped strings in an exterior region 4.1.2 Refracted U-shaped strings: turning point in the interior region 4.1.3 U-shaped strings stretched at the throat 4.2 LR-strings
11 13 13 14 15 18
5 Smooth wormholes
21
1
Introduction
AdS/CFT correspondence [1–3] provides a powerful framework to study the dynamics of strongly coupled systems and, in particular, gauge theories. A very interesting scenario where AdS/CFT has proven to be very useful is the so-called quark-gluon plasma (QGP).
Data Loading...
