Matrix theory and heterotic strings on tori
Matrix theory and heterotic strings on tori
复制标题
矩阵理论和圆环上的杂优势弦
DOI：
10.1016/s0550-3213(97)00509-9
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
Petr Hořava
中科院分区：
文献类型：
--
作者：
Petr Hořava
我们考虑S_1/Z_2 × Td（d > 0）上M-理论的矩阵模型的紧化，并将其解释为R × Td+1上超对称U（N）Yang-Mills理论的轨道折叠.轨道群既作用于规范群又作用于Td+1，在1 + 1维不动点子流形上将规范群约化为O（N），并破坏了一半的超对称性。我们澄清了一些令人困惑的方面的规范异常取消在时空威尔逊线的存在下，在一般情况下，杨米尔斯理论需要一定的陈-西蒙斯耦合到超重力背景场。我们讨论的可能性，D8膜是目前作为某些矩阵配置在杨米尔斯理论，和基本费米子出现为零模式。最后，我们指出，矩阵理论和弦理论之间的对应关系表明，存在着大量的非平凡RG不动点和对偶的轨道杨米尔斯理论在不同的维度与八个超荷。
We consider compactifications of the matrix model of M-theory on S1/ Z2× Tdfor d > 0 , and interpret them as orbifolds of the supersymmetric U(N) Yang-Mills theory on R × Td+1. The orbifold group acts both on the gauge group and on the Td+1, reduces the gauge group to O(N) over 1 + 1-dimensional fixed-point submanifolds, and breaks half of the supersymmetry. We clarify some puzzling aspects of the gauge anomaly cancellation in the presence of spacetime Wilson lines; in general, the Yang-Mills theory requires certain Chern-Simons couplings to supergravity background fields. We discuss the possibility that D8-branes are present as certain matrix configurations in the yang-Mills theory, and the fundamental fermions emerge as zero-modes. Finally, we point out that the correspondence between matrix theory and string theory suggests the existence of a multitude of non-trivial RG fixed points and dualities in orbifold Yang-Mills theories with eight supercharges in various dimensions.