Quantum M-wave and Black 0-brane

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.

26 pages. Section 6 and references added

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• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• What lattice theorists can do for superstring/M-theory
• Super Virasoro Algebras From Chiral Supergravity
• Quantum Aspects of Black Objects in String Theory
• Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN matrix model
• Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability