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Tachyonic anti-M2 branes

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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https://hal-cea.archives-ouvertes.fr/cea-00973220
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Submitted on : Tuesday, June 28, 2022 - 4:13:48 PM
Last modification on : Wednesday, June 29, 2022 - 3:18:19 AM

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Iosif Bena, Graña Mariana, Stanislav Kuperstein, Stefano Massai. Tachyonic anti-M2 branes. Journal of High Energy Physics, Springer, 2014, 1406, pp.173. ⟨10.1007/JHEP06(2014)173⟩. ⟨cea-00973220⟩

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