M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface

We construct multi-charged AdS₃ × ⅀ × ${\mathrm{\Sigma }}_{\mathfrak{g}}$ \( {\Sigma}_{\mathfrak{g}} \) and AdS₂ × ⅀ × ${\mathrm{\Sigma }}_{\mathfrak{g}}$ \( {\Sigma}_{\mathfrak{g}} \) solutions from M5-branes and D4-branes wrapped on a direct product of spindle, ⅀, and Riemann surface, ${\mathrm{\Sigma }}_{\mathfrak{g}}$ \( {\Sigma}_{\mathfrak{g}} \) . Employing uplift formula, we obtain these solutions by uplifting the multi-charged AdS₃ × ⅀ and AdS₂ × ⅀ solutions to seven and six dimensions, respectively. We further uplift the solutions to eleven-dimensional and massive type IIA supergravity and calculate the holographic central charge and the Bekenstein-Hawking entropy, respectively. We perform the gravitational block calculations and, for the AdS₃ × ⅀ × ${\mathrm{\Sigma }}_{\mathfrak{g}}$ \( {\Sigma}_{\mathfrak{g}} \) solutions, the result precisely matches the holographic central charge from the supergravity solutions.