Supersymmetric Spectral Form Factor of ABJM Theory

TL;DR

This paper studies the spectral form factor of ABJM theory at large N, revealing how black hole decay and multi-cut saddles influence its late-time behavior, with implications for quantum chaos and holography.

Contribution

It introduces an analysis of the spectral form factor in ABJM theory, highlighting the role of multi-cut saddles in late-time dynamics, a novel insight into holographic spectral properties.

Findings

Early-time decay of the black hole saddle

Late-time behavior governed by multi-cut saddles

Spectral form factor does not decay at late times

Abstract

We investigate the large-N index analog of the spectrum form factor for ABJM theory in the microcanonical ensemble. In the Cardy-like limit, the most dominant saddle describing the dual black hole decays rapidly at early times. However, the late-time behavior of the spectral form factor is determined by multi-cut saddles, which prevent it from decaying.