标题： 费米子加倍与伯恩施泰因--马尔德拉纳--纳斯塔塞对应关系 显示英文标题

标题： Fermion Doubling and Berenstein--Maldacena--Nastase Correspondence

摘要： 我们证明了弦比特模型在费米子 sector 存在加倍问题。这种加倍在极限 $N\to\infty$ 下导致超对称性被强烈破坏。由于即使在有限的 $N$ 下，弦比特与BMN算符的代数之间存在精确对应关系，因此超Yang-Mills理论一侧也预期存在加倍现象。我们讨论了BMN sector 中加倍的起源。 显示英文摘要

摘要： We show that the string bit model suffers from doubling in the fermionic sector. The doubling leads to strong violation of supersymmetry in the limit $N\to\infty$. Since there is an exact correspondence between string bits and the algebra of BMN operators even at finite $N$, doubling is expected also on the side of super-Yang--Mills theory. We discuss the origin of the doubling in the BMN sector.