D4-branes wrapped on a spindle
Federico Faedo, Dario Martelli

TL;DR
This paper constructs new supersymmetric AdS4 solutions in 6D supergravity involving a spindle, uplifts them to massive IIA, and relates them to 3D SCFTs from wrapped D4-branes, proposing a universal off-shell free energy extremization.
Contribution
It introduces a universal off-shell free energy framework that reproduces known results for branes wrapped on spindles and higher genus surfaces, extending holographic duality insights.
Findings
Constructed supersymmetric AdS4 solutions with spindle geometry.
Proposed a universal off-shell free energy extremization principle.
Connected solutions to 3D SCFTs from wrapped D4-branes.
Abstract
We construct supersymmetric AdS solutions of gauged supergravity, where is a two-dimensional orbifold known as a spindle. These uplift to solutions of massive type IIA supergravity using a general prescription, that we describe. We argue that these solutions correspond to the near-horizon limit of a system of D8-branes, together with D4-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. The dual field theories are , SCFTs that arise from a twisted compactification of the , gauge theory. We show that the holographic free energy associated to these solutions is reproduced by extremizing an off-shell free energy, that we conjecture to arise in the large limit of the localized partition function of the theories on . We formulate a…
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