2020/11/30 by Davide Cassani, Gregoire Josse, Grégoire Josse +2
Mathematics · Physics and Astronomy · #Abelian group #Algebraic structures and combinatorial models #Ansatz #Black Holes and Theoretical Physics #Formalism (music) #Homotopy and Cohomology in Algebraic Topology #Supergravity #Superpotential #Supersymmetry #Tangent bundle #Torsion (gastropod) #hep-th
paper · pdf · doi:10.1007/jhep02(2021)232
69 pages; v3: published version
openalex created_date 2020/11/23 · openalex publication_date 2021/02/26 · arxiv created 2021/06/04 · arxiv updated 2021/06/07 · openalex updated_date 2026/08/05
A bstract We discuss consistent truncations of eleven-dimensional supergravity on a six-dimensional manifold M , preserving minimal N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 supersymmetry in five dimensions. These are based on G S ⊆ USp (6) structures for the generalised E 6(6) tangent bundle on M , such that the intrinsic torsion is a constant G S singlet. We spell out the algorithm defining the full bosonic truncation ansatz and then apply this formalism to consistent truncations that contain warped AdS 5 × w M solutions arising from M5-branes wrapped on a Riemann surface. The generalised U (1) structure associated with the N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 solution of Maldacena-Nuñez leads to five-dimensional supergravity with four vector multiplets, one hypermultiplet and SO (3) × U (1) × ℝ gauge group. The generalised structure associated with “BBBW” solutions yields two vector multiplets, one hypermultiplet and an abelian gauging. We argue that these are the most general consistent truncations on such backgrounds.