English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this article, building on our recent investigations and motivated by thefuzzball-paradigm, we explore normal modes of a probe massless scalar field inthe rotating BTZ-geometry in an asymptotically AdS spacetime andcorrespondingly obtain the Spectral Form Factor (SFF) of the scalar field. Inparticular, we analyze the SFF obtained from the single-particle partitionfunction. We observe that, a non-trivial Dip-Ramp-Plateau structure, with aRamp of slope one (within numerical precision) exists in the SFF which isobtained from the grand-canonical partition function. This behaviour isobserved to remain stable close to extremality as well. However, at exactextremality, we observe a loss of the DRP-structure in the corresponding SFF.Technically, we have used two methods to obtain our results: (i) An explicitand direct numerical solution of the boundary conditions to obtain the normalmodes, (ii) A WKB-approximation, which yields analytic, semi-analytic andefficient numerical solutions for the modes in various regimes. We furtherre-visit the non-rotating case and elucidate the effectiveness of theWKB-approximation in this case, which allows for an analytic expression of thenormal modes in the regime where a level-repulsion exists. This regimecorresponds to the lower end of the spectrum as a function of the scalarangular momentum. By analyzing the classical stress-tensor of the probe sector,we further demonstrate that the back-reaction of the scalar field grows fast asthe angular momenta of the scalar modes increase in the large angular momentaregime, while the back-reaction remains controllably small in the regime wherethe spectrum has non-trivial level correlations. This further justifies cuttingthe spectrum off at a suitable value of the scalar angular momenta, beyondwhich the scalar back-reaction significantly modifies the background geometry.

Brickwall in Rotating BTZ: A Dip-Ramp-Plateau Story