Supertwistors as quarks of SU(2,2|4)
Supertwistors as quarks of SU(2,2|4)
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作为 SU(2,2|4) 夸克的超扭曲
DOI：
10.1088/1126-6708/1999/05/019
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发表时间：
1999
影响因子：
5.4
通讯作者：
Yonatan Zunger
中科院分区：
文献类型：
--
作者：
P. Claus;M. Gunaydin;R. Kallosh;J. Rahmfeld;Yonatan Zunger
AdS5 × S5 上的 GS 超弦具有非线性实现的、自发破缺的 SU(2,2|4) 对称性。这里我们引入一个二维模型，其中线性地实现了不间断的 SU(2,2|4) 对称性。基本变量是超扭曲量，它们在这个超群的基本表示中进行变换。该超扭曲模型的量化导致了中心扩展 SU(2,2|4) 的酉不可约表示的完整振荡器构造。它们包括 d = 4 SYM 理论的状态、AdS5 超引力的无质量和 KK 状态，以及标准大质量弦状态的 AdS5 的后代，它们形成中间和长质量超多重态。我们提出了长质量超多重态的例子，并讨论了孤子弦和 (p,q) 弦的可能状态。
The GS superstring on AdS5 × S5 has a nonlinearly realized, spontaneously broken SU(2,2|4) symmetry. Here we introduce a two-dimensional model in which the unbroken SU(2,2|4) symmetry is linearly realized. The basic variables are supertwistors, which transform in the fundamental representation of this supergroup. The quantization of this supertwistor model leads to the complete oscillator construction of the unitary irreducible representations of the centrally extended SU(2,2|4). They include the states of d = 4 SYM theory, massless and KK states of AdS5 supergravity, and the descendants on AdS5 of the standard massive string states, which form intermediate and long massive supermultiplets. We present examples of long massive supermultiplets and discuss possible states of solitonic and (p,q) strings.