M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface
Minwoo Suh
Abstract
A bstract We construct multi-charged AdS 3 × ⅀ × $$ {\Sigma}_{\mathfrak{g}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>g</mml:mi> </mml:msub> </mml:math> and AdS 2 × ⅀ × $$ {\Sigma}_{\mathfrak{g}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>g</mml:mi> </mml:msub> </mml:math> solutions from M5-branes and D4-branes wrapped on a direct product of spindle, ⅀, and Riemann surface, $$ {\Sigma}_{\mathfrak{g}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>g</mml:mi> </mml:msub> </mml:math> . Employing uplift formula, we obtain these solutions by uplifting the multi-charged AdS 3 × ⅀ and AdS 2 × ⅀ 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 AdS 3 × ⅀ × $$ {\Sigma}_{\mathfrak{g}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>g</mml:mi> </mml:msub> </mml:math> solutions, the result precisely matches the holographic central charge from the supergravity solutions.