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M-branes and metastable states

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Abstract

We study a supersymmetry breaking deformation of the M-theory background found in arXiv:hep-th/0012011. The supersymmetric solution is a warped product of \( {\mathbb{R}^{2,1}} \) and the 8-dimensional Stenzel space, which is a higher dimensional generalization of the deformed conifold. At the bottom of the warped throat there is a 4-sphere threaded by \( \tilde{M} \) units of 4-form flux. The dual (2 + 1)-dimensional theory has a discrete spectrum of bound states. We add p anti-M2 branes at a point on the 4-sphere, and show that they blow up into an M5-brane wrapping a 3-sphere at a fixed azimuthal angle on the 4-sphere. This supersymmetry breaking state turns out to be metastable for \( {{p} \left/ {{\tilde{M}}} \right.}\mathop { < }\limits_\sim 0.054 \). We find a smooth O(3)-symmetric Euclidean bounce solution in the M5-brane world volume theory that describes the decay of the false vacuum. Calculation of the Euclidean action shows that the metastable state is extremely long-lived. We also describe the corresponding metastable states and their decay in the type IIA background obtained by reduction along one of the spatial directions of \( {\mathbb{R}^{2,1}} \).

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Authors and Affiliations

  1. Joseph Henry Laboratories, Princeton University, Princeton, NJ, 08544, U.S.A.

    Igor R. Klebanov & Silviu S. Pufu

  2. Center for Theoretical Science, Princeton University, Princeton, NJ, 08544, U.S.A.

    Igor R. Klebanov

Authors
  1. Igor R. Klebanov
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  2. Silviu S. Pufu
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Correspondence to Silviu S. Pufu.

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ArXiv ePrint:1006.3587

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Klebanov, I.R., Pufu, S.S. M-branes and metastable states. J. High Energ. Phys. 2011, 35 (2011). https://doi.org/10.1007/JHEP08(2011)035

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