伪N=2 EYM超引力的宇宙学解
Cosmological solutions from fake N=2 EYM supergravity
摘要:
本文讨论了Wick旋转N=2 d=4规范超引力与非阿贝尔矢量多重态耦合的(假)超对称解.在类时情形下,我们得到了Kastor & Traschen宇宙学黑洞的推广:它们具有特定的时间依赖性,基空间必须是三维超CR/Gauduchon-Tod空间。在零情形下,我们发现度量有一个包含在Sim(2)中的完整性,给出了解的一般特征,并给出了一些例子。最后,我们指出在某些情况下,我们找到的解是N= 2d =4超引力与矢量多重态耦合的非BPS解.
英文摘要:
We characterise the (fake) supersymmetric solutions of Wick-rotated N=2 d=4 gauged supergravity coupled to non-Abelian vector multiplets. In the time-like case we obtain generalisations of Kastor & Traschen's cosmological black holes: they have a specific time-dependence and the base-space must be 3-dimensional hyperCR/Gauduchon-Tod space. In the null-case, we find that the metric has a holonomy contained in Sim(2), give a general characterisation of the solutions, and give some examples. Finally, we point out that in some cases the solutions we found are non-BPS solutions to N=2 d=4 supergravity coupled to vector multiplets.
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