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Boundary conditions and localization on AdS. Part I
We study the role of boundary conditions on the one loop partition function of ${\cal N}=2$ chiral multiplet of R-charge $\Delta$ on $AdS_2\times S^1$. The chiral multiplet is coupled to a background vector multiplet which preserves supersymmetry. We implement normalizable boundary conditions in $AdS_2$ and develop the Green's function method …