D4-branes wrapped on a spindle

A bstract We construct supersymmetric "Image missing"solutions of D = 6 gauged supergravity, where --> is a two-dimensional orbifold known as spindle. These uplift to solutions massive type IIA supergravity using general prescription, that we describe. argue these correspond the near-horizon limit system N f D8-branes, together with D4-branes wrapped on spindle, embedded holomorphic curve inside Calabi-Yau three-fold. The dual field theories are d 3, $$ \mathcal{N} N 2 SCFTs arise from twisted compactification 5, 1 USp(2 ) gauge theory. show holographic free energy associated reproduced by extremizing an off- shell energy, conjecture in large localized partition function 5 -->. formulate universal proposal for class off-shell energies, whose extremization reproduces all previous results branes spindles, well genus g Riemann surfaces Σ . further illustrate this discussing -->, which present solution along entropy function.