Wrapped D4-branes from maximal 6D gauged supergravity

We study a large class of domain wall solutions with Mkw₃ Σ² and Mkw₂ Σ³ slices from maximal gauged supergravity in six dimensions. Σ² and Σ³ are given by a Riemann surface and a 3-manifold with constant curvature while Mkw₃, ₂ denotes three/two-dimensional Minkowski space. We consider the maximal gauged supergravity with CSO (p, q, 5-p-q) and CSO (p, q, 4-p-q) R⁴ gauge groups arising from an S¹ reduction of seven-dimensional maximal gauged supergravity with CSO (p, q, 5-p-q) and CSO (p, q, 4-p-q) gauge groups. The two types of gauge group can be embedded in type IIA theory via consistent truncations on H^p, q R^5-p-q and H^p, q^4-p-q S¹, respectively. By performing topological twists on Σ² and Σ³, we find a number of solutions interpolating between locally flat domain walls in the UV and curved domain walls with Mkw₃ Σ² and Mkw₂ Σ³ slices in the IR. Many solutions admit physical IR singularities and can be interpreted as holographic RG flows across dimensions from five-dimensional field theories to three- and two-dimensional non-conformal field theories in the IR. Upon uplifted to type IIA theory, we expect the solutions to describe brane configurations involving D4-branes wrapped on Σ² and Σ³.