Flux algebra, Bianchi identities and Freed–Witten anomalies in F-theory compactifications
Flux algebra, Bianchi identities and Freed–Witten anomalies in F-theory compactifications
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F 理论紧化中的通量代数、Bianchi 恒等式和 Freed-Witten 异常
DOI：
10.1016/j.nuclphysb.2009.01.006
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
J. A. Rosabal
中科院分区：
文献类型：
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作者：
G. Aldazabal;P. G. Cámara;J. A. Rosabal
我们讨论了与 F 理论的全局非几何紧化相对应的 4D 规范超引力代数的结构，承认 10D 超引力的局部几何描述。通过从与非几何类型 IIB 通量相关的著名规范生成器代数开始，我们推导出包含所有闭合 RR 和 NSNS、几何和非几何双通量的完整代数。我们通过系统地应用 SL(2,Z) 对偶变换并考虑通量的旋量结构来实现这种概括。由此产生的代数编码了有关高维理论的许多信息。特别地，蝌蚪方程和比安奇恒等式可以作为代数的雅可比恒等式获得。当包含磁化 (p,q) 7-膜扇区时，某些闭合轴子可通过膜上的 U(1) 变换来测量。我们指出了膜的对角规范生成器如何合并到完整代数中，并表明 (p,q) 7-膜的 Freed-Witten 约束和蝌蚪抵消条件可以描述为混合体和膜规范生成器的代数所满足的雅可比恒等式。
We discuss the structure of 4D gauged supergravity algebras corresponding to globally non-geometric compactifications of F-theory, admitting a local geometric description in terms of 10D supergravity. By starting with the well-known algebra of gauge generators associated to non-geometric type IIB fluxes, we derive a full algebra containing all, closed RR and NSNS, geometric and non-geometric dual fluxes. We achieve this generalization by a systematic application of SL(2,Z) duality transformations and by taking care of the spinorial structure of the fluxes. The resulting algebra encodes much information about the higher dimensional theory. In particular, tadpole equations and Bianchi identities are obtainable as Jacobi identities of the algebra. When a sector of magnetized (p,q) 7-branes is included, certain closed axions are gauged by the U(1) transformations on the branes. We indicate how the diagonal gauge generators of the branes can be incorporated into the full algebra, and show that Freed–Witten constraints and tadpole cancellation conditions for (p,q) 7-branes can be described as Jacobi identities satisfied by the algebra mixing bulk and brane gauge generators.