Supersymmetric multi-trace boundary conditions in AdS
Supersymmetric multi-trace boundary conditions in AdS
复制标题
AdS 中的超对称多迹边界条件
DOI：
10.1088/0264-9381/26/2/025010
复制
发表时间：
2008
影响因子：
3.5
通讯作者：
D. Marolf
中科院分区：
文献类型：
--
作者：
A. Amsel;D. Marolf
在AdSd中研究了d大于或等于2的大质量费米子的边界条件。对于费米子质量在0≤|m| < 1/ 2r，其中r为AdS长度的情况，标准化的概念允许选择边界条件。在标量处于或略高于Breitenlohner-Freedman （BF）界的情况下，这样的边界条件对应于任何CFT对偶的多迹变形。通过构造合适的边界超场，对于d = 3,4,5，我们确定了在边界上保持超对称或超共形对称的联合标量/费米子边界条件。特别是，我们通过AdS/CFT（在大N下）确定了对应于595个参数的N - m2膜低能理论的双迹边缘变形家族的边界条件，这些边界条件保持了超共形对称性。我们还建立了（在大N和大t Hooft耦合λ下）3+1超Yang-Mills不存在边缘或相关的多迹变形，从而保持了偶超对称性。
Boundary conditions for massive fermions are investigated in AdSd for d ⩾ 2. For fermion masses in the range 0 ⩽ |m| < 1/2ℓ with ℓ being 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 supersymmetry or 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 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 super Yang–Mills which preserve even supersymmetry.