Quantum M-wave and Black 0-brane

TL;DR

This paper derives quantum-corrected M-wave and black 0-brane solutions in M-theory, showing that quantum effects influence the mass but not the charge, and confirms the internal energy matches expected near horizon behavior.

Contribution

It provides explicit quantum-corrected solutions for M-wave and black 0-brane in M-theory, incorporating higher derivative terms and analyzing their physical properties.

Findings

Quantum corrections modify the mass of the black 0-brane.

The charge of the black 0-brane remains unaffected by quantum effects.

The internal energy in the near horizon limit is correctly reproduced.

Abstract

The effective action of superstring theory or M-theory is approximated by supergravity in the low energy limit, and quantum corrections to the supergravity are taken into account by including higher derivative terms. In this paper, we consider equations of motion with those higher derivative terms in M-theory and solve them to derive quantum M-wave solution. A quantum black 0-brane solution is also obtained by Kaluza-Klein dimensional reduction of the M-wave solution. The quantum black 0-brane is asymptotically flat and uniquely determined by imposing appropriate conditions. The mass and the R-R charge of the quantum black 0-brane are derived by using the ADM mass and the charge formulae, and we see that only the mass is affected by the quantum correction. Various limits of the quantum black 0-brane are also considered, and especially we show that an internal energy in the near horizon limit is correctly reproduced.