Massless higher spins and holography
Massless higher spins and holography
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DOI：
10.1016/s0550-3213(02)00739-3
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发表时间：
2002-05
期刊：
影响因子：
--
通讯作者：
E. Sezgin;P. Sundell
中科院分区：
文献类型：
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作者：
E. Sezgin;P. Sundell
我们将自由大N超共形场理论视为围绕AdS时空以半径r展开的高自旋规范理论的全息对偶。HS规范理论包含无质量和轻质量AdS场。HS电流相关器以交叉对称形式编写，仅包括其他HS电流的交换。这个和其他参数指向了无质量HS场的一致截断的存在。本文综述了D=4,5,7中32个超对称的无质量HS理论（其中7D的结果是新的），并讨论了相应的复合算子。在AdS4的情况下，描述了最小玻色子无质量HS规范理论的三次耦合。利用AdS5×S5and m理论在AdS4/7×S7/4上研究了IIB型管柱中产生无质量HS场的高能量/小张力极限。我们讨论了HS对称对普通超引力对称的破缺，并在AdS5×S5and AdS4×S7where中讨论了一个特别自然的希格斯机制，即HS对称被有限gYM破缺。在AdS5×S5it中表明，主要Regge轨迹的超多重态交叉进入无质量HS谱。我们提出gYM2=0对应于1/ r2阶的临界弦张力和1/N阶的有限弦耦合。在AdS7×S4we中给出了一个与无质量HS电流耦合的旋转膜溶液，并将其描述为AN−1(2,0)SCFT中的Wilson曲面的极限，该极限可扩展为具有异常维数的算子，这些算子对于大自旋渐近小。最小能量构型具有半经典能量E=s的所有s和无限拉伸弦的几何形状，能量和自旋密度集中在端点。
We treat free large N superconformal field theories as holographic duals of higher spin (HS) gauge theories expanded around AdS spacetime with radius R. The HS gauge theories contain massless and light massive AdS fields. The HS current correlators are written in a crossing symmetric form including only exchange of other HS currents. This and other arguments point to the existence of a consistent truncation to massless HS fields. A survey of massless HS theories with 32 supersymmetries in D=4,5,7 (where the 7D results are new) is given and the corresponding composite operators are discussed. In the case of AdS4, the cubic couplings of a minimal bosonic massless HS gauge theory are described. We examine high energy/small tension limits giving rise to massless HS fields in the type IIB string on AdS5×S5and M-theory on AdS4/7×S7/4. We discuss breaking of HS symmetries to the symmetries of ordinary supergravity, and a particularly natural Higgs mechanism in AdS5×S5and AdS4×S7where the HS symmetry is broken by finite gYM. In AdS5×S5it is shown that the supermultiplets of the leading Regge trajectory cross over into the massless HS spectrum. We propose that gYM2=0 corresponds to a critical string tension of order 1/R2and a finite string coupling of order 1/N. In AdS7×S4we give a rotating membrane solution coupling to the massless HS currents, and describe these as limits of Wilson surfaces in the AN−1(2,0) SCFT, expandable in terms of operators with anomalous dimensions that are asymptotically small for large spin. The minimal energy configurations have semi-classical energy E=s for all s and the geometry of infinitely stretched strings with energy and spin density concentrated at the endpoints.