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Résumé |
We study the dynamics of anti-M2 branes in a warped Stenzel solution with M2
charges dissolved in fluxes by taking into account their full backreaction
on the geometry. The resulting supergravity solution has a singular magnetic
four-form flux in the near-brane region. We examine the possible resolution
of this singularity via the polarization of anti-M2 branes into M5 branes,
and compute the corresponding polarization potential for branes smeared on
the finite-size four-sphere at the tip of the Stenzel space. We find that
the potential has no minimum. We then use the potential for smeared branes
to compute the one corresponding to a stack of localized anti-M2 branes, and
use this potential to compute the force between two anti-M2 branes at tip of
the Stenzel space. We find that this force, which is zero in the probe
approximation, is in fact repulsive. This surprising result points to a
tachyonic instability of anti-M2 branes in backgrounds with M2 brane charge
dissolved in flux.
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