Supersymmetric AdS(5) solutions of massive IIA supergravity

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Apruzzi, Fabio; Fazzi, Marco; Passias, Achilleas; Tomasiello, Alessandro: Supersymmetric AdS(5) solutions of massive IIA supergravity. In: Journal of High Energy Physics 2015 (2015), Nr. 6, 195. DOI: https://doi.org/10.1007/JHEP06(2015)195

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Abstract: 
Motivated by a recently found class of AdS(7) solutions, we classify AdS(5) solutions in massive IIA, finding infinitely many new analytical examples. We reduce the general problem to a set of PDEs, determining the local internal metric, which is a fibration over a surface. Under a certain simplifying assumption, we are then able to analytically solve the PDEs and give a complete list of all solutions. Among these, one class is new and regular. These spaces can be related to the AdS(7) solutions via a simple universal map for the metric, dilaton and fluxes. The natural interpretation of this map is that the dual CFT6 and CFT4 are related by twisted compactification on a Riemann surface Sigma(g). The ratio of their free energy coefficients is proportional to the Euler characteristic of Sigma(g). As a byproduct, we also find the analytic expression for the AdS(7) solutions, which were previously known only numerically. We determine the free energy for simple examples: it is a simple cubic function of the flux integers.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2015
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 44 60.27%
2 image of flag of United States United States 16 21.92%
3 image of flag of China China 4 5.48%
4 image of flag of Ireland Ireland 3 4.11%
5 image of flag of Iran, Islamic Republic of Iran, Islamic Republic of 2 2.74%
6 image of flag of Taiwan Taiwan 1 1.37%
7 image of flag of Russian Federation Russian Federation 1 1.37%
8 image of flag of France France 1 1.37%
9 image of flag of Czech Republic Czech Republic 1 1.37%

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