D4-branes wrapped on four-dimensional orbifolds through consistent truncation

Abstract

We construct a consistent truncation of six-dimensional matter coupled $F(4)$ gauged supergravity on a cornucopia of two-dimensional surfaces including a spindle, disc, domain wall and other novel backgrounds to four-dimensional minimal gauged supergravity. Using our consistent truncation we uplift known AdS${}_2\times {\Sigma }_1$ solutions giving rise to four-dimensional orbifold solutions, AdS${}_2\times {\Sigma }_1⋉{\Sigma }_2$. We further uplift our solutions to massive type IIA supergravity by constructing the full uplift formulae for six-dimensional U$(1{)}^2$-gauged supergravity including all fields and arbitrary Romans mass and gauge coupling. The solutions we construct are naturally interpreted as the near-horizon geometries of asymptotically AdS${}_6$ black holes with a four-dimensional orbifold horizon. Alternatively, one may view them as the holographic duals of superconformal quantum mechanical theories constructed by compactifying five-dimensional USp$(2N)$ theory living on a stack of D4-D8 branes on the four-dimensional orbifolds. As a first step to identifying these quantum mechanical theories we compute the Bekenstein--Hawking entropy holographically.

v2: 49 pages, 3 figures, minor changes, published version

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Cited by in corpus (9)

• Equivariant localization and holography
• Branes wrapped on orbifolds and their gravitational blocks
• Localizing Wrapped M5-branes and Gravitational Blocks
• $T^{1,1}$ truncation on the spindle
• Holographic Generalised Gukov-Witten Defects
• New supersymmetric AdS${}_6$ black holes from matter-coupled F(4) gauged supergravity
• Branes wrapped on quadrilaterals
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• Supersymmetric AdS${}_6$ black holes from ISO(3)xU(1) F(4) gauged supergravity