Stabilization of the Compactification Volume by Quantum Corrections

Berg, Mark A.; Haack, Michael; Körs, Boris

doi:10.1103/physrevlett.96.021601

Cited by 132 publications

(91 citation statements)

References 27 publications

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“…solely by perturbative corrections to the Kähler potential has received some attention [33,31,32]. This is due to the fact that the two leading corrections have been derived in type IIB string theory explicitly (for a few concrete examples, at least).…”

Section: Perturbative Corrections To the Kähler Potential And Volume mentioning

confidence: 99%

“…7 Now we can see that when c 2 > 0 and c 1 < 0 (which corresponds to χ > 0) and |c 2 /c 1 | ≫ 1 there is inevitably a non-supersymmetric AdS 4 -minimum for the scalar potential of Re T containing both corrections at large volume [31] (see also [32]). 8 Unfortunately, in the only fully calculated example, T 6 /Z 2 × Z 2 , we have χ = 2 · (h 11 − h 21 ) < 0, for which there is no minimum.…”

Section: Perturbative Corrections To the Kähler Potential And Volume mentioning

confidence: 99%

“…T 6 /Z ′ 6 they have not been determined [34]. Assuming that the dilaton and complex structure are stabilised, D S W = 0 and D U W = 0, then the large volume expansion of the scalar potential induced by all the above corrections starts with [31,32] …”

Section: Perturbative Corrections To the Kähler Potential And Volume mentioning

confidence: 99%

“…The α ′ -corrections have recently been used to provide a realization of the simplest KKLT dS-vacua without the need for D3-branes as the source of uplifting [35,36,37]. Under certain conditions the interplay of both the α ′ -correction and the loop corrections leads to a stabilization of the volume modulus by the perturbative corrections alone [32]. The corrections to the Kähler potential do not break the shift symmetry of the volume modulus.…”

Section: Introductionmentioning

confidence: 99%

“…In view of these difficulties it is appealing that recently the possibility of stabilizing the remaining Kähler volume modulus of type IIB flux compactifications purely by perturbative corrections to the Kähler potential has been studied [31,32]. The leading corrections which the Kähler potential receives are given by an O(α ′3 )-correction [33] and string loop corrections [34].…”

Section: Introductionmentioning

confidence: 99%

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De Sitter string vacua from perturbative Kähler corrections and consistent D-terms

Parameswaran

Westphal

2006

J. High Energy Phys.

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We present a new way to construct de Sitter vacua in type IIB flux compactifications, in which moduli stabilization and D-term uplifting can be combined in a manner consistent with the supergravity constraints. Here, the closed string fluxes fix the dilaton and the complex structure moduli while perturbative quantum corrections to the Kähler potential stabilize the volume Kähler modulus in an AdS 4 -vacuum. Then, the presence of magnetized D7-branes in this setup provides supersymmetric D-terms in a fully consistent way which uplift the AdS 4 -vacuum to a metastable dS-minimum.

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Section: Perturbative Corrections To the Kähler Potential And Volume mentioning

confidence: 99%

Section: Perturbative Corrections To the Kähler Potential And Volume mentioning

confidence: 99%

Section: Perturbative Corrections To the Kähler Potential And Volume mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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De Sitter string vacua from perturbative Kähler corrections and consistent D-terms

Parameswaran

Westphal

2006

J. High Energy Phys.

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Moduli stabilisation and applications in IIB string theory

Conlon¹

2007

Fortschritte der Physik

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SummaryString compactifications represent the most promising approach towards unifying general relativity with particle physics. However, naive compactifications give rise to massless particles (moduli) which would mediate unobserved longrange forces, and it is therefore necessary to generate a potential for the moduli.In the introductory chapters I review this problem and recall how in IIB compactifications the dilaton and complex structure moduli can be stabilised by 3-form fluxes. There exist very many possible discrete flux choices which motivates the use of statistical techniques to analyse this discretuum of choices. Such approaches generate formulae predicting the distribution of vacua and I describe numerical tests of these formulae on the Calabi-Yau P 4[1,1,2,2,6] . Stabilising the Kähler moduli requires nonperturbative superpotential effects. I review the KKLT construction and explain why this must in general be supplemented with perturbative Kähler corrections. I show how the incorporation of such corrections generically leads to non-supersymmetric minima at exponentially large volumes, giving a detailed account of the α ′ expansion and its relation to Kähler corrections. I illustrate this with explicit computations for the 1,1,6,9] . The next part of the thesis examines phenomenological applications of this construction. I first describe how the magnitude of the soft supersymmetry parameters may be computed. In the large-volume models the gravitino mass and soft terms are volume-suppressed. As we naturally have V ≫ 1, this gives a dynamical solution of the hierarchy problem. I also demonstrate the existence of a fine structure in the soft terms, with gaugino masses naturally lighter than the gravitino mass by a factor ln M P m 3/2 . A second chapter gives a detailed analysis of the relationship of moduli stabilisation to the QCD axions relevant to the strong CP problem, proving a no-go theorem on the compatibility of a QCD axion with supersymmetric moduli stabilisation. I describe how QCD axions can coexist with nonsupersymmetric perturbative stabilisation and how the large-volume models naturally contain axions with decay constants that are phenomenologically allowed and satisfy the appealing relationship f 2 a ∼ M P M susy . A further chapter describe how a simple and predictive inflationary model can be built in the context of the above large-volume construction, using the no-scale Kähler potential to avoid the η problem.I finally conclude, summarising the phenomenological scenario and outlining the prospects for future work.

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Consistent de Sitter string vacua from Kähler stabilization and D‐term uplifting

Parameswaran

Westphal

2007

Fortschritte der Physik

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In this note, we review our construction of de Sitter vacua in type IIB flux compactifications, in which moduli stabilization and D-term uplifting can be combined consistently with the supergravity constraints. Here, the closed string fluxes fix the dilaton and the complex structure moduli while perturbative quantum corrections to the Kähler potential stabilize the volume Kähler modulus in an AdS 4 -vacuum. Then, magnetized D7-branes provide consistent supersymmetric D-term uplifting towards dS 4 . Based on hep-th/0602253. This is the transcript of a talk given by A. W. at the RTN project 'Constituents, fundamental forces and symmetries of the universe' conference in Napoli, October 9 -13, 2006.

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Stabilization of the Compactification Volume by Quantum Corrections

Cited by 132 publications

References 27 publications

De Sitter string vacua from perturbative Kähler corrections and consistent D-terms

De Sitter string vacua from perturbative Kähler corrections and consistent D-terms

Moduli stabilisation and applications in IIB string theory

Consistent de Sitter string vacua from Kähler stabilization and D‐term uplifting

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