| Tóm tắt: | Motivated by a recently found class of AdS<inf>7</inf> solutions, we classify AdS<inf>5</inf> 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<inf>7</inf> solutions via a simple universal map for the metric, dilaton and fluxes. The natural interpretation of this map is that the dual CFT<inf>6</inf> and CFT<inf>4</inf> are related by twisted compactification on a Riemann surface Σ<inf>g</inf>. The ratio of their free energy coefficients is proportional to the Euler characteristic of Σ<inf>g</inf>. As a byproduct, we also find the analytic expression for the AdS<inf>7</inf> 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.
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