Transitions of three-charge black hole microstates in the D1D5 CFT

TL;DR

This paper explores how specific three-charge black hole microstates in the D1D5 CFT transition under marginal deformations, shedding light on their holographic duals and potential back-reaction behaviors.

Contribution

It introduces a detailed analysis of transitions between superstrata and microstrata states using marginal deformations in the D1D5 CFT, providing new insights into black hole microstate dynamics.

Findings

Identified transition amplitudes between superstrata and microstrata states.

Compared energies to determine preferred transition pathways.

Suggested implications for the back-reaction of dual geometries.

Abstract

Using the D1D5 CFT we investigate transitions involving a member of a certain class of states called superstrata states, which are holographically dual to certain smooth, horizonless, $1/8$-BPS, three-charge black hole microstates known as superstrata. We study these transitions by deforming the CFT away from the free orbifold point using a marginal deformation which contains a twist operator and a supercharge operator. We apply two marginal deformations to an initial state containing a graviton acting on a superstratum state. We compute amplitudes capturing transitions from this state to a graviton acting on a microstratum state, a member of a class of states which are holographically dual to certain smooth, horizonless, non-BPS, three-charge black hole microstates known as microstrata, non-BPS analogues of superstrata. We compare the resulting amplitude for various initial and final state energies to determine the preferred transition process. This may give hints as to how the dual superstratum geometry may preferentially back-react in this setting.