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P. Breitenlohner and D. Z. Freedman, Positive Energy in anti-De Sitter Backgrounds and Gauged Extended Supergravity
1982
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, Stability in Gauged Extended Supergravity
1982
Earlier work this paper cites.
E. Witten, Dimensional Reduction of Superstring Models
1985
Earlier work this paper cites.
C. P. Burgess, A. Font and F. Quevedo, Low-Energy Effective Action for the Superstring
1986
Earlier work this paper cites.
R. C. Myers, Dielectric branes
1999
Earlier work this paper cites.
I. R. Klebanov and M. J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities
2000
Earlier work this paper cites.
S. S. Gubser, Curvature singularities: The Good, the bad, and the naked
2000
Earlier work this paper cites.
S. B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications
2002
Earlier work this paper cites.
S. Kachru, J. Pearson and H. L. Verlinde, Brane / flux annihilation and the string dual of a nonsupersymmetric field theory
2002
Earlier work this paper cites.
S. Kachru, R. Kallosh, A. D. Linde and S. P. Trivedi, De Sitter vacua in string theory
2003
Earlier work this paper cites.

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2014

Junghans, Daniel, Schmidt, Daniel, Zagermann, Marco

We study AdS$_7$ vacua of massive type IIA string theory compactified on a 3-sphere with $H_3$ flux and anti-D6-branes.

In such backgrounds, the anti-brane backreaction is known to generate a singularity in the $H_3$ energy density, whose interpretation has not been understood so far.
We first consider supersymmetric solutions of this setup and give an analytic proof that the flux singularity is resolved there by a polarization of the anti-D6-branes into a D8-brane, which wraps a finite 2-sphere inside of the compact space.
To this end, we compute the potential for a spherical probe D8-brane on top of a background with backreacting anti-D6-branes and show that it has a local maximum at zero radius and a local minimum at a finite radius of the 2-sphere.

P. Breitenlohner and D. Z. Freedman, Positive Energy in anti-De Sitter Backgrounds and Gauged Extended Supergravity
1982
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, Stability in Gauged Extended Supergravity
1982
Earlier work this paper cites.
E. Witten, Dimensional Reduction of Superstring Models
1985
Earlier work this paper cites.
C. P. Burgess, A. Font and F. Quevedo, Low-Energy Effective Action for the Superstring
1986
Earlier work this paper cites.
R. C. Myers, Dielectric branes
1999
Earlier work this paper cites.
I. R. Klebanov and M. J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities
2000
Earlier work this paper cites.
S. S. Gubser, Curvature singularities: The Good, the bad, and the naked
2000
Earlier work this paper cites.
S. B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications
2002
Earlier work this paper cites.
S. Kachru, J. Pearson and H. L. Verlinde, Brane / flux annihilation and the string dual of a nonsupersymmetric field theory
2002
Earlier work this paper cites.
S. Kachru, R. Kallosh, A. D. Linde and S. P. Trivedi, De Sitter vacua in string theory
2003
Earlier work this paper cites.