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arXiv 0712.0747hep-thhep-ph
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N=2杂种优势弦簇的旋量-向量对偶性

Spinor-Vector Duality in N=2 Heterotic String Vacua

Alon E. Faraggi, Costas Kounnas, John Rizos

备注：
19 pages. 1 figure
发表信息：
Nucl.Phys.B799:19-33,2008
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摘要：

对具有对称内位移的N=1时空超对称费米子Z2 XZ 2异质弦真空进行了分类，揭示了整个真空空间的一种新的旋量-矢量对偶对称性，其中S_<->tV对偶将旋量+反旋量表示与矢量表示互换.本文证明了在保持N=2时空超对称性的费米子Z2杂化弦模型中也存在旋量-矢量对偶。在这种情况下，交换是在SO（12）GUT对称性的旋量和矢量表示之间。给出了S_tV对偶映射存在性的一般代数证明<->.我们提出了一个新的基础来产生自由费米子模型，其中10维规范自由度被分成4组，每组4个，每个产生一个SO（8）模块。在新的基中，由于SO（8）表示的triality性质，GUT对称性由平凡和非平凡扇区产生的生成元产生。因此，虽然在新的基础上，大统一理论对称性的出现更加麻烦，但它可能更有助于揭示弦真空下的对偶对称性。

英文摘要：

Classification of the N=1 space-time supersymmetric fermionic Z2XZ2 heterotic-string vacua with symmetric internal shifts, revealed a novel spinor-vector duality symmetry over the entire space of vacua, where the S_t <-> V duality interchanges the spinor plus anti-spinor representations with vector representations. In this paper we demonstrate that the spinor--vector duality exists also in fermionic Z2 heterotic string models, which preserve N=2 space-time supersymmetry. In this case the interchange is between spinorial and vectorial representations of the unbroken SO(12) GUT symmetry. We provide a general algebraic proof for the existence of the S_t <-> V duality map. We present a novel basis to generate the free fermionic models in which the ten dimensional gauge degrees of freedom are grouped into four groups of four, each generating an SO(8) modular block. In the new basis the GUT symmetries are produced by generators arising from the trivial and non--trivial sectors, and due to the triality property of the SO(8) representations. Thus, while in the new basis the appearance of GUT symmetries is more cumbersome, it may be more instrumental in revealing the duality symmetries that underly the string vacua.

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