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

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)x Sigma(1) solutions giving rise to four-dimensional orbifold solutions, AdS(2)x Sigma(1) (sic) 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.

Automated summary

We construct a consistent truncation of six-dimensional matter coupled F(4) gauged supergravity on various two-dimensional surfaces, including a spindle, disc, domain wall, etc., yielding four-dimensional minimal gauged supergravity. Using this truncation, we uplift known AdS(2)×Σ(1) solutions to four-dimensional orbifold solutions, AdS(2)×Σ(1)×Σ(2). Furthermore, we 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.