Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry

Details Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry

2006-11-07

arxiv.org/abs/gr-qc/0611044v2

Class.Quant.Grav.24:2301-2332,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

45 pages, Latex, no figures, v2: extended discussion of positive energy theorem and explicit form of fermionic generators, ref

Scientific paper

10.1088/0264-9381/24/9/010

We use a covariant phase space formalism to give a general prescription for defining Hamiltonian generators of bosonic and fermionic symmetries in diffeomorphism invariant theories, such as supergravities. A simple and general criterion is derived for a choice of boundary condition to lead to conserved generators of the symmetries on the phase space. In particular, this provides a criterion for the preservation of supersymmetries. For bosonic symmetries corresponding to diffeomorphisms, our prescription coincides with the method of Wald et al. We then illustrate these methods in the case of certain supergravity theories in $d=4$. In minimal AdS supergravity, the boundary conditions such that the supercharges exist as Hamiltonian generators of supersymmetry transformations are unique within the usual framework in which the boundary metric is fixed. In extended ${\mathcal N}=4$ AdS supergravity, or more generally in the presence of chiral matter superfields, we find that there exist many boundary conditions preserving ${\mathcal N}=1$ supersymmetry for which corresponding generators exist. These choices are shown to correspond to a choice of certain arbitrary boundary ``superpotentials,'' for suitably defined ``boundary superfields.'' We also derive corresponding formulae for the conserved bosonic charges, such as energy, in those theories, and we argue that energy is always positive, for any supersymmetry-preserving boundary conditions. We finally comment on the relevance and interpretation of our results within the AdS-CFT correspondence.

Affiliated with

Also associated with

No associations

Rating

Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-617650