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arXiv 0810.5666hep-th
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Klebanov-Strassler理论的I-奇扇区

I-odd sector of the Klebanov-Strassler theory

Anatoly Dymarsky, Dmitry Melnikov, Alexander Solovyov

摘要:

Klebanov-Strassler背景在Z_2对称性I下是不变的,它通过交换双基本场A和B并伴随电荷共轭而起作用。我们研究了I-奇扇区中的背景扰动,并找到了在整体SU(2)*SU(2)对称性下不变的玻色子态的详尽列表。除了在早期出版物arXiv:0712.4404中确定的标量之外,我们还发现了7个自旋为1的大质量态家族。它们与自旋为0的态一起形成了3个大质量矢量多重态家族和2个大质量引力子多重态家族,包含一个矢量、一个赝矢量和自旋为3/2和1/2的费米子。在共形Klebanov-Witten情形下,这些I-奇粒子属于N=1超共形向量多重态I和引力多重态II和IV。与I-奇单重扇区对偶的算子包括那些没有双基本场的算子,这与纯N=1 SYM理论有着有趣的联系。我们计算了相应的胶球的质谱数值,并讨论了我们的结果可能的应用。

英文摘要:

The Klebanov-Strassler background is invariant under the Z_2 symmetry I, which acts by exchanging the bi-fundamental fields A and B, accompanied by the charge conjugation. We study the background perturbations in the I-odd sector and find an exhaustive list of bosonic states invariant under the global SU(2)*SU(2) symmetry. In addition to the scalars identified in an earlier publication arXiv:0712.4404 we find 7 families of massive states of spin 1. Together with the spin 0 states they form 3 families of massive vector multiplets and 2 families of massive gravitino multiplets, containing a vector, a pseudovector and fermions of spin 3/2 and 1/2. In the conformal Klebanov-Witten case these I-odd particles belong to the N=1 superconformal Vector Multiplet I and Gravitino Multiplets II and IV. The operators dual to the I-odd singlet sector include those without bi-fundamental fields making an interesting connection with the pure N=1 SYM theory. We calculate the mass spectrum of the corresponding glueballs numerically and discuss possible applications of our results.

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