非超对称幻数理论与Ehlers截断
Non-Supersymmetric Magic Theories and Ehlers Truncations
摘要：
我们考虑了基于分裂四元数和分裂复除代数的非超对称“幻”理论。我们发现，这些理论出现的“埃勒斯”$SL(2,\mathbb{R})$和$SL(3,\mathbb{R})$截断的最大超引力理论，利用技术非常扩展的卡茨-穆迪代数。我们还概括的程序，以其他$SL(n,\mathbb{R})$截断，导致额外的类的非超对称理论，以及截断的非最大理论。最后，我们讨论了这些非超对称理论中极值黑洞解的对偶轨道。
英文摘要：
We consider the non-supersymmetric "magic" theories based on the split quaternion and the split complex division algebras. We show that these theories arise as "Ehlers" $SL(2,\mathbb{R})$ and $SL(3,\mathbb{R})$ truncations of the maximal supergravity theory, exploiting techniques related to very-extended Kac-Moody algebras. We also generalise the procedure to other $SL(n,\mathbb{R})$ truncations, resulting in additional classes of non-supersymmetric theories, as well as to truncations of non-maximal theories. Finally, we discuss duality orbits of extremal black-hole solutions in some of these non-supersymmetric theories.
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