Four-algebraic extension of the IIB matrix model
Four-algebraic extension of the IIB matrix model
复制标题
IIB 矩阵模型的四代数扩展
DOI：
10.1093/ptep/ptt054
复制
发表时间：
2013
影响因子：
3.5
通讯作者：
Matsuo Sato
中科院分区：
文献类型：
--
作者：
R. Sekine;W. Horiuchi;Matsuo Sato
对IIB矩阵模型进行了四代数推广。这种扩展可以由任何李四代数来实现。四代数模型与IIB矩阵模型具有相同的超对称性，因此是IIB型超弦理论。四代数模型包含十二个玻色子矩阵；其中两个将被识别为具有f理论特征的两个额外维度。我们构造了一个包含李代数的李四代数，并通过选择它来显式地分析模型。在这个代数模型中有三个阶段。在第一阶段，它简化为原始的IIB矩阵模型。在第二阶段，它简化为一个简单的超对称模型。在第三阶段，它简化为只描述代表环面的两个矩阵的动力学的模型。
We make a four-algebraic extension of the IIB matrix model. The extension can be made by any Lie four-algebra. The four-algebraic model has the same supersymmetry as the IIB matrix model and hence as type IIB superstring theory. The four-algebraic model contains twelve bosonic matrices; two of these will be identified with two extra dimensions that characterize F-theory. We construct a Lie four-algebra that incorporatesLie algebra and analyze the model explicitly by choosing it. We have three phases in the model with that specific algebra. In the first phase, it reduces to the original IIB matrix model. In the second phase, it reduces to a simple supersymmetric model. In the third phase, it reduces to a model that describes only the dynamics of the two matrices representing the torus.