Green-Schwarz超膜III的等变Cartan-Eilenberg超胚。包装anomaly和超级${\rm AdS}_5\times\mathbb{S}^5$背景
Equivariant Cartan-Eilenberg supergerbes for the Green-Schwarz superbranes III. The wrapping anomaly and the super-${\rm AdS}_5\times\mathbb{S}^5$ background
摘要：
这是一个程序的延续，在工作arXiv：1706.05682 [hep-th]，supernatury等变几何格林施瓦茨超$(p+2)$ -cocycles耦合到拓扑电荷进行的超$p$ -膜的超弦理论约化齐性空间的超对称李群。在本部分中，以前开发的思想和几何代数工具大大增强，适应和应用在物理上显着的弯曲的背景下的Metsaev和Tseytlin，确定在超${\rm AdS}_5\times\mathbb{S}^5$几何的临界超弦的传播。分析突出了在所提出的几何化方案中，提升超级目标几何对称性的相关超σ模型的刚性对称性的Noether荷的泊松代数的包裹异常的作用。特别是，强调的意义的收费量化的单值性的格拉斯曼奇坐标的Kosteleck-拉宾型商的超级目标。在超${\rm AdS}_5\times\mathbb{S}^5$目标上，一个平凡的超1-gerbe与Metsaev-Tseytlin超3-上循环相关联.超对称李超代数到其平坦超空间对应物的几何化与Lennönü-Wigner收缩的相容性问题被研究了一定的时间，揭示了相关Cartan-Eilenberg上同调的刚性，并表明了一个有吸引力的潜在替代方案，以取代不可收缩的平凡超1-gerbe。
英文摘要：
This is a continuation of a programme, initiated in the work arXiv:1706.05682 [hep-th], of supersymmetry-equivariant geometrisation of the Green-Schwarz super-$(p+2)$-cocycles coupling to the topological charges carried by super-$p$-branes of the superstring theory on reductive homogeneous spaces of supersymmetry Lie supergroups. In the present part, the ideas and geometro-algebraic tools developed previously are substantially enhanced, adapted to and applied in the physically significant curved backround of Metsaev and Tseytlin, determining the propagation of the critical superstring in the super-${\rm AdS}_5\times\mathbb{S}^5$ geometry. The analysis brings to the fore the rôle, in the geometrisation scheme proposed, of the wrapping anomaly of the Poisson algebra of the Noether charges of the rigid symmetries of the relevant super-σ-model that lift the geometric symmetries of the supertarget. In particular, the significance of the charges quantifying the monodromy of the Grassmann-odd coordinates in the Kostelecký-Rabin-type quotient of the supertarget is emphasised. A trivial super-1-gerbe is associated with the Metsaev-Tseytlin super-3-cocycle over the super-${\rm AdS}_5\times\mathbb{S}^5$ target. The issue of compatibility of the geometrisation with the İnönü-Wigner contraction of the supersymmetry Lie superalgebra to its flat-superspace counterpart is investigated at some length, revealing the rigidity of the relevant Cartan-Eilenberg cohomology and signalling an attractive potential alternative to the non-contractible trivial super-1-gerbe constructed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
