Abstract
We investigate p \( \overline{\mathrm{D}6} \) branes inside a flux throat that carries K × M D6 charges with K the 3-form flux quantum and M the Romans mass. In such a setup brane-flux annihilation can proceed through the nucleation of KK5 branes. We find that within the calculable supergravity regime where g s p is large, the \( \overline{\mathrm{D}6} \) branes annihilate immediately against the fluxes despite the existence of a metastable state at small p/M in the probe approximation. The crucial property that causes this naive conflict with effective field theory is a singularity in the 3-form flux, which we cut off at string scale. Our result explains the absence of regular solutions at finite temperature and suggests there should be a smooth time-dependent solution. We also discuss the qualitative differences between \( \overline{\mathrm{D}6} \) branes and \( \overline{\mathrm{D}3} \) branes, which makes it a priori not obvious to conclude the same instability for \( \overline{\mathrm{D}3} \) branes.
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Danielsson, U., Gautason, F. & Van Riet, T. Unstoppable brane-flux decay of \( \overline{\mathrm{D}6} \) branes. J. High Energ. Phys. 2017, 141 (2017). https://doi.org/10.1007/JHEP03(2017)141
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DOI: https://doi.org/10.1007/JHEP03(2017)141