Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability

TL;DR

This paper explores quantum corrections to black hole and black string solutions in M-theory, analyzing their thermodynamics and stability, including the quantum Gregory-Laflamme instability, using higher derivative R4 corrections.

Contribution

It constructs quantum black hole and black string solutions in M-theory with higher derivative corrections and examines their stability and thermodynamics at the quantum level.

Findings

Quantum black string stretching along the 11th dimension.

Quantum Gregory-Laflamme instability analyzed quantitatively.

Thermodynamics of boosted quantum black objects discussed.

Abstract

We take into account higher derivative R4 corrections in M-theory and construct quantum black hole and black string solutions in 11 dimensions up to the next leading order. The quantum black string is stretching along the 11th direction and the Gregory-Laflamme instability is examined at the quantum level. Thermodynamics of the boosted quantum black hole and black string are also discussed. Especially we take the near horizon limit of the quantum black string and investigate its instability quantitatively.