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The Backreacted K\"ahler Geometry of Wrapped Branes
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For supersymmetric solutions of D3(M2) branes with AdS3(AdS2) factor, it is known that the internal space is expressible as U(1) fibration over K\"ahler space which satisfies a specific partial differential equation involving the Ricci tensor. In this paper we study the wrapped brane solutions of D3 and M2-branes which were originally constructed using gauged supergravity and uplifted to D=10 and D=11. We rewrite the solutions in canonical form, identify the backreacted K\"ahler geometry, and present a class of solutions which satisfy the Killing spinor equation.
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AdS$_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
Two new classes of AdS3 x S2 solutions in massive IIA with small N=(4,0) supersymmetry are derived, along with their T-dual IIB counterparts.
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