Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4

Understand

We study the symmetries of pure N=2 supergravity in D=4.

• As is known, this theory reduced on one Killing vector is characterised by a non-linearly realised symmetry SU(2,1) which is a non-split real form of SL(3,C).
• We consider the BPS brane solutions of the theory preserving half of the supersymmetry and the action of SU(2,1) on them.
• Furthermore we provide evidence that the theory exhibits an underlying algebraic structure described by the Lorentzian Kac-Moody group SU(2,1)^{+++}.