2025/09/14 by Parinya Karndumri, Karndumri, Parinya, Patharadanai Nuchino +1
Physics and Astronomy · Engineering · #Black Holes and Theoretical Physics #Particle Accelerators and Free-Electron Lasers #Cosmology and Gravitation Theories
paper · pdf · doi:10.48550/arxiv.2509.11216
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)\ltimes 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 Hp,q× ℝ5-p-q and Hp,q×ℝ4-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.