Built on

G. T. Gilbert, “Positive definite matrices and sylvester’s criterion,” The American Mathematical Monthly
1991
Earlier work this paper cites.
K. Choi, “String or M theory axion as a quintessence,” Phys. Rev
2000
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
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S. Kachru, R. Kallosh, A. D. Linde, and S. P. Trivedi, “De Sitter vacua in string theory,” Phys. Rev
2003
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O. DeWolfe, A. Giryavets, S. Kachru, and W. Taylor, “Type IIA moduli stabilization,” JHEP
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S. B. Giddings and A. Maharana, “Dynamics of warped compactifications and the shape of the warped landscape,” Phys. Rev
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H. Kodama and K. Uzawa, “Comments on the four-dimensional effective theory for warped compactification,” JHEP
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M. P. Hertzberg, S. Kachru, W. Taylor, and M. Tegmark, “Inflationary Constraints on Type IIA String Theory,” JHEP
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E. Silverstein and A. Westphal, “Monodromy in the CMB: Gravity Waves and String Inflation,” Phys. Rev
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G. Shiu, G. Torroba, B. Underwood, and M. R. Douglas, “Dynamics of Warped Flux Compactifications,” JHEP
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Similar

O. DeWolfe, S. Kachru, and M. Mulligan, “A Gravity Dual of Metastable Dynamical Supersymmetry Breaking,” Phys. Rev
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2008
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S. S. Haque, G. Shiu, B. Underwood, and T. Van Riet, “Minimal simple de Sitter solutions,” Phys. Rev
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C. Caviezel et al
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M. Gomez-Reino, J. Louis, and C. A. Scrucca, “No metastable de Sitter vacua in N=2 supergravity with only hypermultiplets,” JHEP

Then

T. Wrase and M. Zagermann, “On Classical de Sitter Vacua in String Theory,” Fortschr. Phys
Original
2010
Later among the works it cites.
P. Narayan and S. P. Trivedi, “On The Stability Of Non-Supersymmetric AdS Vacua,” JHEP
Original
2010
Later among the works it cites.
L. McAllister, E. Silverstein, and A. Westphal, “Gravity Waves and Linear Inflation from Axion Monodromy,” Phys. Rev
Original
2010
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R. Flauger, L. McAllister, E. Pajer, A. Westphal, and G. Xu, “Oscillations in the CMB from Axion Monodromy Inflation,” JCAP
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M. R. Douglas and R. Kallosh, “Compactification on negatively curved manifolds,” JHEP

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2011

Stability Constraints on Classical de Sitter Vacua

Shiu, Gary, Sumitomo, Yoske

Understand

We present further no-go theorems for classical de Sitter vacua in Type II string theory, i.e., de Sitter constructions that do not invoke non-perturbative effects or explicit supersymmetry breaking localized sources.

By analyzing the stability of the 4D potential arising from compactification on manfiolds with curvature, fluxes, and orientifold planes, we found that additional ingredients, beyond the minimal ones presented so far, are necessary to avoid the presence of unstable modes.
We enumerate the minimal setups for (meta)stable de Sitter vacua to arise in this context.

Built on

G. T. Gilbert, “Positive definite matrices and sylvester’s criterion,” The American Mathematical Monthly
1991
Earlier work this paper cites.
K. Choi, “String or M theory axion as a quintessence,” Phys. Rev
2000
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.
S. Kachru, R. Kallosh, A. D. Linde, and S. P. Trivedi, “De Sitter vacua in string theory,” Phys. Rev
2003
Earlier work this paper cites.
O. DeWolfe, A. Giryavets, S. Kachru, and W. Taylor, “Type IIA moduli stabilization,” JHEP
2005
Earlier work this paper cites.
S. B. Giddings and A. Maharana, “Dynamics of warped compactifications and the shape of the warped landscape,” Phys. Rev
2006
Earlier work this paper cites.
H. Kodama and K. Uzawa, “Comments on the four-dimensional effective theory for warped compactification,” JHEP
2006
Earlier work this paper cites.
M. P. Hertzberg, S. Kachru, W. Taylor, and M. Tegmark, “Inflationary Constraints on Type IIA String Theory,” JHEP
Original
2007
Earlier work this paper cites.
P. Koerber and L. Martucci, “From ten to four and back again: how to generalize the geometry,” JHEP
Original
2007
Earlier work this paper cites.
E. Silverstein, “Simple de Sitter Solutions,” Phys. Rev
Original
2008
Earlier work this paper cites.
G. T. Horowitz, J. Orgera, and J. Polchinski, “Nonperturbative Instability of AdS5 x S5/Zk,” Phys. Rev
Original
2008
Earlier work this paper cites.
L. Covi et al
Original
2008
Earlier work this paper cites.
E. Silverstein and A. Westphal, “Monodromy in the CMB: Gravity Waves and String Inflation,” Phys. Rev
Original
2008
Earlier work this paper cites.
G. Shiu, G. Torroba, B. Underwood, and M. R. Douglas, “Dynamics of Warped Flux Compactifications,” JHEP
Original
2008
Earlier work this paper cites.