Quantum Lift of Non-BPS Flat Directions

Understand

We study N=2, d=4 attractor equations for the quantum corrected two-moduli prepotential $\mathcal{F}=st^2+i\lambda$, with $\lambda$ real, which is the only correction which preserves the axion shift symmetry and modifies the geometry.

• In the classical case the black hole effective potential is known to have a flat direction.
• We found that in the presence of D0-D6 branes the black hole potential exhibits a flat direction in the quantum case as well.
• It corresponds to non-BPS $Z\neq 0$ solutions to the attractor equations.