Schrodinger algebra and non-relativistic holography
Schrodinger algebra and non-relativistic holography
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薛定谔代数和非相对论全息术
DOI：
10.1088/1742-6596/343/1/012007
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
N. Aizawa and V. K. Dobrev
中科院分区：
文献类型：
--
作者：
Nakano;F.;Sadahiro;T;N. Aizawa and V. K. Dobrev
我们给出了一个非相对论全息的群论解释，作为描述体场和边界场的薛定谔代数的表示之间的等价性。主要结果是明确的建设的边界散装运营商的框架表示理论（不指定任何行动）。进一步证明了这些算子和体到边界算子是交织算子。在类比的相对论的情况下，我们表明，每个体场有两个边界场共轭共形权重。这些领域的相关的另一个交织运营商给出的两点函数的边界。类似于Klebanov-Witten的相对论结果，我们给出了两个边界场都是物理场时的条件。
We give a group-theoretic interpretation of non-relativistic holography as equivalence between representations of the Schrödinger algebra describing bulk fields and boundary fields. The main result is the explicit construction of the boundary-to-bulk operators in the framework of representation theory (without specifying any action). Further we show that these operators and the bulk-to-boundary operators are intertwining operators. In analogy to the relativistic case, we show that each bulk field has two boundary fields with conjugated conformal weights. These fields are related by another intertwining operator given by a two-point function on the boundary. Analogously to the relativistic result of Klebanov-Witten we give the conditions when both boundary fields are physical.