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arXiv · 1402.2294

Tachyonic Anti-M2 Branes

Iosif Bena·Mariana Graña·Stanislav Kuperstein·Stefano Massai
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Abstract

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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Iosif Bena, Mariana Graña, Stanislav Kuperstein, Stefano Massai. 2014-06-05. Tachyonic Anti-M2 Branes. https://doi.org/10.1007/jhep06(2014)173

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