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A Split-Signature Type IIB Background on $\mathrm{AdS}_{5,\mathbb C}$
We construct a maximally supersymmetric Type IIB background in signature $(5,5)$ on the real ten-manifold underlying complex $\mathrm{AdS}_5$. The spacetime is diffeomorphic to $T^*S^5$ and carries the invariant metric $G=\mathrm i(\bar q-q)$, where $q$ is the holomorphic constant-curvature metric.
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