Global Tensor‐Matter Transitions in F‐Theory
Global Tensor‐Matter Transitions in F‐Theory
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F 理论中的全局张量物质转变
DOI:
10.1002/prop.201800037
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发表时间:
2018
期刊:
影响因子:
--
通讯作者:
F. Ruehle
中科院分区:
文献类型:
--
作者:
M. Dierigl;P. K. Oehlmann;F. Ruehle
We use F‐theory to study gauge algebra preserving transitions of 6d supergravity theories that are connected by superconformal points. While the vector multiplets remain unchanged, the hyper‐ and tensor multiplet sectors are modified. In 6d F‐theory models, these transitions are realized by tuning the intersection points of two curves, one of them carrying a non‐Abelian gauge algebra, to a (4,6,12) singularity, followed by a resolution in the base. The six‐dimensional supergravity anomaly constraints are strong enough to completely fix the possible non‐Abelian representations and to restrict the Abelian charges in the hypermultiplet sector affected by the transition, as we demonstrate for all Lie algebras and their representations. Furthermore, we present several examples of such transitions in torically resolved fibrations. In these smooth models, superconformal points lead to non‐flat fibers which correspond to non‐toric Kähler deformations of the torus‐fibered Calabi‐Yau 3‐fold geometry.
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