$$ \mathcal{N} $$ = 2 consistent truncations from wrapped M5-branes
Davide Cassani, Grégoire Josse, Michela Petrini, Daniel Waldram
Abstract
A bstract We discuss consistent truncations of eleven-dimensional supergravity on a six-dimensional manifold M , preserving minimal $$ \mathcal{N} $$ <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 $$ \mathcal{N} $$ <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.