# Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4 - High Energy Physics - Theory

Finite and infinite-dimensional symmetries of pure N=2 supergravity in D=4 - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: We study the symmetries of pure N=2 supergravity in D=4. As is known, thistheory reduced on one Killing vector is characterised by a non-linearlyrealised symmetry SU2,1 which is a non-split real form of SL3,C. Weconsider the BPS brane solutions of the theory preserving half of thesupersymmetry and the action of SU2,1 on them. Furthermore we provideevidence that the theory exhibits an underlying algebraic structure describedby the Lorentzian Kac-Moody group SU2,1^{+++}. This evidence arises both fromthe correspondence between the bosonic space-time fields of N=2 supergravity inD=4 and a one-parameter sigma-model based on the hyperbolic group SU2,1^{++},as well as from the fact that the structure of BPS brane solutions is neatlyencoded in SU2,1^{+++}. As a nice by-product of our analysis, we obtain aregular embedding of the Kac-Moody algebra su2,1^{+++} in e {11} based onbrane physics.

Author: ** Laurent Houart, Axel Kleinschmidt, Josef Lindman Hörnlund, Daniel Persson, Nassiba Tabti**

Source: https://arxiv.org/