The Backreacted Kähler Geometry of Wrapped Branes

Abstract

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 Kähler 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 Kähler geometry, and present a class of solutions which satisfy the Killing spinor equation.

v2: 13 pages, refs added

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• Four-Dimensional SCFTs from M5-Branes
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Cited by in corpus (9)

• Two-dimensional SCFTs from wrapped branes and c-extremization
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Two-dimensional SCFTs from D3-branes
• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• 1/4 BPS AdS${}_3$/CFT${}_2$
• F-theory and AdS_3/CFT_2 (2,0)
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
• Comments on $Ad{S}_2$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
• Gravity duals of N=(0,2) SCFTs from M5-branes