Quantized Nambu-Poisson manifolds in a 3-Lie algebra reduced model
Quantized Nambu-Poisson manifolds in a 3-Lie algebra reduced model
复制标题
3-Lie 代数简化模型中的量化南部-泊松流形
DOI：
10.1007/jhep04(2011)075
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发表时间：
2011
影响因子：
5.4
通讯作者：
DeBellis J
中科院分区：
文献类型：
--
作者：
DeBellis J
我们考虑将Bagger-Lambert-Gustavsson理论降维到零维3-Lie代数模型，并构造了对应于量子化Nambu-Poisson流形的各种稳定解。最近提出的希格斯机制将该模型简化为IKKT矩阵模型。我们发现，在强耦合极限下，我们的解对应于具有D膜背景的IKKT模型中作为稳定解出现的普通非对易空间。特别是，这种情况发生在S 3号和五维奈沃-施瓦茨HPP波上。我们围绕这些背景扩展了我们的模型，并找到了具有涉及高导数项的复杂相互作用的有效的非对易场论。我们还描述了我们的约化模型与基于超对称代数的立方超矩阵模型的关系。
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson manifolds. A recently proposed Higgs mechanism reduces this model to the IKKT matrix model. We find that in the strong coupling limit, our solutions correspond to ordinary noncommutative spaces arising as stable solutions in the IKKT model with D-brane backgrounds. In particular, this happens for S 3,and five-dimensional Neveu-Schwarz Hpp-waves. We expand our model around these backgrounds and find effective noncommutative field theories with complicated interactions involving higher-derivative terms. We also describe the relation of our reduced model to a cubic supermatrix model based on ansupersymmetry algebra.