标题： 费米子加倍与BMN对应关系 显示英文标题

标题： Fermion Doubling and BMN Correspondence

摘要： 我们证明了弦子模型在费米子部分存在倍增问题。 倍增导致在极限$N\to\infty$下超对称性严重破坏。 由于弦子与BMN算符代数之间存在精确对应关系，即使在有限的$N$情况下也是如此，因此在超杨-米尔斯理论方面也预期会出现倍增问题。 我们讨论了BMN区域中倍增的起源。 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.