Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-15
Class.Quant.Grav.26:025010,2009
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 1 figure, RevTex; v2: reference added
Scientific paper
10.1088/0264-9381/26/2/025010
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 $\lambda$) 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.
Amsel Aaron J.
Marolf Donald
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