BPS Kerr-AdS time machines

Cvetič, M.; Geng, Wei -Jian; Lü, H.; Pope, C. N.

doi:10.1007/jhep07(2018)088

Title: BPS Kerr-AdS time machines

Journal Article · 11 July 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep07(2018)088 · OSTI ID:1501477

Cvetič, M. ^[1]; Geng, Wei -Jian ^[2];

^[3]; Pope, C. N. ^[4]

Beijing Normal Univ., Beijing (China). Dept. of Physics; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Univ. of Pennsylvania, Philadelphia (United States)
Beijing Normal Univ., Beijing (China). Dept. of Physics
Tianjin Univ., Tianjin (China). Dept. of Physics
Beijing Normal Univ., Beijing (China). Dept. of Physics; Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Inst. for Fundamental Physics and Astronomy; Cambridge Univ., Cambridge (United Kingdom). Centre for Mathematical Sciences

It was recently observed that Kerr-AdS metrics with negative mass can describe smooth spacetimes that have a region within which naked closed time-like curves can arise, bounded by a velocity of light surface. Such spacetimes are sometimes known as time machines. In this paper we study the BPS limit of these metrics, and find that the mass and angular momenta become discretised. The completeness of the spacetime also requires that the asymptotic time coordinate be periodic, with precisely the same period as that which arises naturally for the global AdS, viewed as a hyperboliod in one extra dimension, in which the time machine spacetime is immersed. For the case of equal angular momenta in odd dimensions, we construct the Killing spinors explicitly, and show they are consistent with the global structure. Thus in examples where the solutions can be embedded in gauged supergravity, they will be supersymmetric. As a result, we also compare the global structure of the BPS AdS3 time machine with the BTZ black hole, and show that the global structure allows two different supersymmetric limits.

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Research Organization:: Texas A&M Univ., College Station, TX (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010813; SC0013528; SC0010813

OSTI ID:: 1501477

Alternate ID(s):: OSTI ID: 22743405

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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