Built on

M. Stenzel, “Ricci-flat metrics on the complexification of a compact rank one symmetric space,” Manuscripta Math
1993
Earlier work this paper cites.
R. C. Myers, “Dielectric branes,” JHEP 9912
1999
Earlier work this paper cites.
I. R. Klebanov and M. J. Strassler, “Supergravity and a confining gauge theory: Duality cascades and chisb-resolution of naked singularities,” JHEP
2000
Earlier work this paper cites.
S. Gukov, C. Vafa and E. Witten, “CFT’s from Calabi-Yau four folds,” Nucl. Phys. B 584
2001
Earlier work this paper cites.
M. Grana and J. Polchinski, “Supersymmetric three form flux perturbations on AdS(5),” Phys. Rev. D 63
2001
Earlier work this paper cites.
S. Kachru, J. Pearson and H. L. Verlinde, “Brane/flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory,” JHEP
2002
Earlier work this paper cites.
A. Bergman and C. P. Herzog, “The Volume of some nonspherical horizons and the AdS / CFT correspondence,” JHEP 0201
2002
Earlier work this paper cites.

Similar

M. Cvetic, G. W. Gibbons, H. Lu and C. N. Pope, “Ricci-flat metrics, harmonic forms and brane resolutions,” Commun. Math. Phys
2003
Cited alongside, same era.
V. Borokhov and S. S. Gubser, “Non-Supersymmetric Deformations of the Dual of a Confining Gauge Theory,” JHEP
2003
Cited alongside, same era.
S. Kachru, R. Kallosh, A. D. Linde, J. M. Maldacena, L. P. McAllister and S. P. Trivedi, “Towards inflation in string theory,” JCAP 0310
2003
Cited alongside, same era.
O. DeWolfe, S. Kachru and H. L. Verlinde, “The giant inflaton,” JHEP
2004
Cited alongside, same era.
K. Intriligator, N. Seiberg and D. Shih, “Dynamical susy breaking in meta-stable vacua,” JHEP
2006
Cited alongside, same era.
I. Bena, M. Grana, and N. Halmagyi, “On the Existence of Meta-stable Vacua in Klebanov-Strassler,” JHEP

Then

P. McGuirk, G. Shiu, Y. Sumitomo, “Non-supersymmetric infrared perturbations to the warped deformed conifold,” Nucl. Phys. B842
Original
2010
Later among the works it cites.
J. Blaback, U. H. Danielsson, D. Junghans, T. Van Riet, T. Wrase, M. Zagermann, “Smeared versus localised sources in flux compactifications,” JHEP 1012
Original
2010
Later among the works it cites.
A. Hashimoto and P. Ouyang, “Quantization of charges and fluxes in warped Stenzel geometry,” JHEP 1106
Original
2011
Closest in time.
A. Hashimoto, “Comments on domain walls in holographic duals of mass deformed conformal field theories,” JHEP 1107
Original
2011
Closest in time.
S. S. Pufu, I. R. Klebanov, T. Klose and J. Lin, “Green’s Functions and Non-Singlet Glueballs on Deformed Conifolds,” J. Phys. A 44

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2011

Metastable Vacua and the Backreacted Stenzel Geometry

Massai, Stefano

Understand

We construct an M-theory background dual to the metastable state recently discussed by Klebanov and Pufu, which corresponds to placing a stack of anti-M2 branes at the tip of a warped Stenzel space.

With this purpose we analytically solve for the linearized non-supersymmetric deformations around the warped Stenzel space, preserving the SO(5) symmetries of the supersymmetric background, and which interpolate between the IR and UV region.
We identify the supergravity solution which corresponds to a stack of $\bar{N}$ backreacting anti-M2 branes by fixing all the 12 integration constants in terms of $\bar{N}$.
While in the UV this solution has the desired features to describe the conjectured metastable state of the dual (2+1)-dimensional theory, in the IR it suffers from a singularity in the four-form flux, which we describe in some details.

Built on

M. Stenzel, “Ricci-flat metrics on the complexification of a compact rank one symmetric space,” Manuscripta Math
1993
Earlier work this paper cites.
R. C. Myers, “Dielectric branes,” JHEP 9912
1999
Earlier work this paper cites.
I. R. Klebanov and M. J. Strassler, “Supergravity and a confining gauge theory: Duality cascades and chisb-resolution of naked singularities,” JHEP
2000
Earlier work this paper cites.
S. Gukov, C. Vafa and E. Witten, “CFT’s from Calabi-Yau four folds,” Nucl. Phys. B 584
2001
Earlier work this paper cites.
M. Grana and J. Polchinski, “Supersymmetric three form flux perturbations on AdS(5),” Phys. Rev. D 63
2001
Earlier work this paper cites.
S. Kachru, J. Pearson and H. L. Verlinde, “Brane/flux Annihilation and the String Dual of a Non-Supersymmetric Field Theory,” JHEP
2002
Earlier work this paper cites.
A. Bergman and C. P. Herzog, “The Volume of some nonspherical horizons and the AdS / CFT correspondence,” JHEP 0201
2002
Earlier work this paper cites.

Similar

M. Cvetic, G. W. Gibbons, H. Lu and C. N. Pope, “Ricci-flat metrics, harmonic forms and brane resolutions,” Commun. Math. Phys
2003
Cited alongside, same era.
V. Borokhov and S. S. Gubser, “Non-Supersymmetric Deformations of the Dual of a Confining Gauge Theory,” JHEP
2003
Cited alongside, same era.
S. Kachru, R. Kallosh, A. D. Linde, J. M. Maldacena, L. P. McAllister and S. P. Trivedi, “Towards inflation in string theory,” JCAP 0310
2003
Cited alongside, same era.
O. DeWolfe, S. Kachru and H. L. Verlinde, “The giant inflaton,” JHEP
2004
Cited alongside, same era.
K. Intriligator, N. Seiberg and D. Shih, “Dynamical susy breaking in meta-stable vacua,” JHEP
2006
Cited alongside, same era.
I. Bena, M. Grana, and N. Halmagyi, “On the Existence of Meta-stable Vacua in Klebanov-Strassler,” JHEP