论文标题
一致的截断左右,大约是最大的广告$ _5 $ _5 $ 11维超级真空
Consistent truncations around half-maximal AdS$_5$ vacua of 11-dimensional supergravity
论文作者
论文摘要
我们使用杰出的场理论来系统地研究所有可能的一半最大广告$ _5 $ of M理论的一致截断。我们表明,只有三个向量多重组的截断是一致的。可能的测量值是SU(2)$ \ times $ u(1)和ISO(3)$ \ times $ u(1),在第一种情况下,u(1)因子在全球对称组内可以具有不同的嵌入,因此$(5,n)$,其中$ n \ n \ leq 3 $等于矢量倍数的数量。我们表明,ISO(3)$ \ times $ u(1)仅存在于真空周围存在的截断,这些截断在当地是$ s^4 $纤维上的,在riemann表面上,这是唯一可以通过围绕这些真空的矢量截断的一致的截断,可以通过经过7维超级(5)的超级guauge $ s^4 $ s^4 $ s^4 $ s^4 $ s^4。 SU(2)$ \ times $ u(1)量表的一致截断只有在满足某些条件(我们得出的某些条件)时才存在。
We use exceptional field theory to systematically study all possible consistent truncations around half-maximal AdS$_5$ vacua of M-theory. We show that only truncations with at most three vector multiplets are consistent. The possible gaugings are SU(2)$\times$U(1) and ISO(3)$\times$U(1) where, in the first case, the U(1) factor can have different embeddings inside the global symmetry group SO$(5,n)$, where $n \leq 3$ equals the number of vector multiplets. We show that the ISO(3)$\times$U(1) truncation only exists around vacua that are locally an $S^4$ fibration over a Riemann surface, and argue that this is the only consistent truncation with vector multiplets around these vacua that can be constructed by going through the 7-dimensional SO(5) gauged supergravity obtained after an $S^4$ reduction. The consistent truncations with SU(2)$\times$U(1) gaugings with vector multiplets exist only if certain conditions are satisfied, which we derive.