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arXiv 1107.4673hep-th
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再论AdS5xS5超弦的超级杨吉安

Super Yangian of superstring on AdS5xS5 revisited

Machiko Hatsuda, Kentaroh Yoshida

摘要:

在不假设任何kappa规范固定的情况下,构造了AdS 5 × S 5共形规范空间中IIB超弦的无穷多个守恒非定域荷,并证明了它们满足超Yangian代数.所得的代数与我们以前的工作相同,其中假设一个特殊的规范,使得Noether流满足平坦性条件。然而,AdS空间上超弦的Noether流的平坦性条件一般是不成立的。我们发现,反常的贡献被吸收到当前的费米子约束起着至关重要的作用,和由此产生的保守的非局域电荷有不同的表达式满足相同的超杨代数。

英文摘要:

We construct infinite number of conserved nonlocal charges for type IIB superstring on the AdS5xS5 space in the conformal gauge without assuming any kappa gauge fixing, and show that they satisfy the super Yangian algebra. The resultant algebra is the same as our previous work, where a special gauge was assumed in such a way that the Noether current satisfies a flatness condition. However the flatness condition for the Noether current of a superstring on the AdS space is broken in general. We show that the anomalous contribution is absorbed into the current where fermionic constraints play an essential role, and a resultant conserved nonlocal charge has different expression satisfying the same super Yangian algebra.

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