Smearing and unsmearing KKLT AdS vacua
Abstract Gaugino condensation on D-branes wrapping internal cycles gives a mechanism to stabilize the associated moduli. According to the effective field theory, this gives rise, when combined with fluxes, to supersymmetric AdS4 solutions. In this paper we provide a ten-dimensional description of th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)015 |
| _version_ | 1827917202495373312 |
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| author | Mariana Graña Nicolas Kovensky Dimitrios Toulikas |
| author_facet | Mariana Graña Nicolas Kovensky Dimitrios Toulikas |
| author_sort | Mariana Graña |
| collection | DOAJ |
| description | Abstract Gaugino condensation on D-branes wrapping internal cycles gives a mechanism to stabilize the associated moduli. According to the effective field theory, this gives rise, when combined with fluxes, to supersymmetric AdS4 solutions. In this paper we provide a ten-dimensional description of these vacua. We first find the supersymmetry equations for type II AdS4 vacua with gaugino condensates on D-branes, in the framework of generalized complex geometry. We then solve them for type IIB compactifications with gaugino condensates on smeared D7-branes. We show that supersymmetry requires a (conformal) Calabi-Yau manifold and imaginary self-dual three-form fluxes with an additional (0,3) component. The latter is proportional to the cosmological constant, whose magnitude is determined by the expectation value of the gaugino condensate and the stabilized volume of the cycle wrapped by the branes. This confirms, qualitatively and quantitatively, the results obtained using effective field theory. We find that exponential separation between the AdS and the KK scales seems possible as long as the three-form fluxes are such that their (0,3) component is exponentially suppressed. As for the localized solution, it requires going beyond SU(3)-structure internal manifolds. Nevertheless, we show that the action can be evaluated on-shell without relying on the details of such complicated configuration. We find that no “perfect square” structure occurs, and the result is divergent. We compute the four-fermion contributions, including a counterterm, needed to cancel these divergences. |
| first_indexed | 2024-03-13T03:25:26Z |
| format | Article |
| id | doaj.art-a3c08d886c334f7a9fc03a49e4c41e5f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:26Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a3c08d886c334f7a9fc03a49e4c41e5f2023-06-25T11:06:31ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312910.1007/JHEP03(2023)015Smearing and unsmearing KKLT AdS vacuaMariana Graña0Nicolas Kovensky1Dimitrios Toulikas2Institut de Physique Théorique, Université Paris Saclay, CEA, CNRSInstitut de Physique Théorique, Université Paris Saclay, CEA, CNRSInstitut de Physique Théorique, Université Paris Saclay, CEA, CNRSAbstract Gaugino condensation on D-branes wrapping internal cycles gives a mechanism to stabilize the associated moduli. According to the effective field theory, this gives rise, when combined with fluxes, to supersymmetric AdS4 solutions. In this paper we provide a ten-dimensional description of these vacua. We first find the supersymmetry equations for type II AdS4 vacua with gaugino condensates on D-branes, in the framework of generalized complex geometry. We then solve them for type IIB compactifications with gaugino condensates on smeared D7-branes. We show that supersymmetry requires a (conformal) Calabi-Yau manifold and imaginary self-dual three-form fluxes with an additional (0,3) component. The latter is proportional to the cosmological constant, whose magnitude is determined by the expectation value of the gaugino condensate and the stabilized volume of the cycle wrapped by the branes. This confirms, qualitatively and quantitatively, the results obtained using effective field theory. We find that exponential separation between the AdS and the KK scales seems possible as long as the three-form fluxes are such that their (0,3) component is exponentially suppressed. As for the localized solution, it requires going beyond SU(3)-structure internal manifolds. Nevertheless, we show that the action can be evaluated on-shell without relying on the details of such complicated configuration. We find that no “perfect square” structure occurs, and the result is divergent. We compute the four-fermion contributions, including a counterterm, needed to cancel these divergences.https://doi.org/10.1007/JHEP03(2023)015Flux CompactificationsSuperstring VacuaString and Brane Phenomenology |
| spellingShingle | Mariana Graña Nicolas Kovensky Dimitrios Toulikas Smearing and unsmearing KKLT AdS vacua Journal of High Energy Physics Flux Compactifications Superstring Vacua String and Brane Phenomenology |
| title | Smearing and unsmearing KKLT AdS vacua |
| title_full | Smearing and unsmearing KKLT AdS vacua |
| title_fullStr | Smearing and unsmearing KKLT AdS vacua |
| title_full_unstemmed | Smearing and unsmearing KKLT AdS vacua |
| title_short | Smearing and unsmearing KKLT AdS vacua |
| title_sort | smearing and unsmearing kklt ads vacua |
| topic | Flux Compactifications Superstring Vacua String and Brane Phenomenology |
| url | https://doi.org/10.1007/JHEP03(2023)015 |
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