Supersymmetric Multi-trace Boundary Conditions in AdS
| dc.creator | Amsel, Aaron J. | |
| dc.creator | Marolf, Donald | |
| dc.date | 2008-08-15 | |
| dc.date | 2008-11-22 | |
| dc.date.accessioned | 2026-07-07T12:26:58Z | |
| dc.date.available | 2026-07-07T12:26:58Z | |
| dc.description | Boundary conditions for massive fermions are investigated in AdS_d for $d \ge 2$. For fermion masses in the range $0 \le |m| < 1/2\ell$ with $\ell$ the AdS length, the standard notion of normalizeability allows a choice of boundary conditions. As in the case of scalars at or slightly above the Breitenlohner-Freedman (BF) bound, such boundary conditions correspond to multi-trace deformations of any CFT dual. By constructing appropriate boundary superfields, for d=3,4,5 we identify joint scalar/fermion boundary conditions which preserve either ${\cal N}=1$ supersymmetry or ${\cal N}=1$ superconformal symmetry on the boundary. In particular, we identify boundary conditions corresponding via AdS/CFT (at large N) to a 595-parameter family of double-trace marginal deformations of the low-energy theory of N M2-branes which preserve ${\cal N} =1$ superconformal symmetry. We also establish that (at large N and large 't Hooft coupling $λ$) there are no marginal or relevant multi-trace deformations of 3+1 ${\cal N} =4$ super Yang-Mills which preserve even ${\cal N}=1$ supersymmetry. | |
| dc.description | 23 pages, 1 figure, RevTex; v2: reference added | |
| dc.identifier | https://arxiv.org/abs/0808.2184 | |
| dc.identifier | http://arxiv.org/abs/0808.2184 | |
| dc.identifier | Class.Quant.Grav.26:025010,2009 | |
| dc.identifier | doi:10.1088/0264-9381/26/2/025010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215056 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Supersymmetric Multi-trace Boundary Conditions in AdS | |
| dc.type | text |