Bulk reconstruction in moduli space holography

A bstract It was recently suggested that certain UV-completable supersymmetric actions can be characterized by the solutions to an auxiliary non-linear sigma-model with special asymptotic boundary conditions. The space-time of this is scalar field space these effective theories while target a coset space. We study without any reference potentially underlying geometric description. Using holographic approach reminiscent bulk reconstruction in AdS/CFT correspondence, we then derive its near-boundary for two-dimensional space-time. Specifying set Sl (2 , ?) data show are uniquely fixed after imposing single bulk-boundary matching condition. exploits elaborate recursion relations introduced Cattani, Kaplan, and Schmid proof (2)-orbit theorem. explicitly solve three sets simple they model periods Calabi-Yau threefold near conifold point, large complex structure Tyurin degeneration.