Abstract: Motivated by a recently found class of AdS7 solutions, we classify AdS5 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 AdS7 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 Σg. The ratio of their free energy coefficients is proportional to the Euler characteristic of Σg. As a byproduct, we also find the analytic expression for the AdS7 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.

Apruzzi, F., Fazzi, M., Passias, A., Tomasiello, A. (2015). Supersymmetric AdS5 solutions of massive IIA supergravity. JOURNAL OF HIGH ENERGY PHYSICS, 2015(6) [10.1007/JHEP06(2015)195].

Supersymmetric AdS5 solutions of massive IIA supergravity

PASSIAS, ACHILLEAS
;
TOMASIELLO, ALESSANDRO
2015

Abstract

Abstract: Motivated by a recently found class of AdS7 solutions, we classify AdS5 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 AdS7 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 Σg. The ratio of their free energy coefficients is proportional to the Euler characteristic of Σg. As a byproduct, we also find the analytic expression for the AdS7 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.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; D-branes; Flux compactifications; Nuclear and High Energy Physics
English
2015
2015
6
195
open
Apruzzi, F., Fazzi, M., Passias, A., Tomasiello, A. (2015). Supersymmetric AdS5 solutions of massive IIA supergravity. JOURNAL OF HIGH ENERGY PHYSICS, 2015(6) [10.1007/JHEP06(2015)195].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/88216
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