论文标题
降低辅导和K理论的尺寸
Dimensional Reduction of Cobordism and K-theory
论文作者
论文摘要
已经提出，在某些情况下可以在数学上相关的Coobordism和K理论群体在物理上与广义的高形式对称性相关。结果，应根据swampland猜想，应在任何一致的量子重力理论中折断或评估它们。我们通过表明一般歧管$ x $的Coobordism和K理论群体从$ X $上的理论降低以及它们的破坏和计量来提供了进一步的支持。为此，我们采用Atiyah-Hirzebruch光谱序列来计算此类组，以使用$ x $的弦乐压实选择。
It has been proposed that cobordism and K-theory groups, which can be mathematically related in certain cases, are physically associated to generalised higher-form symmetries. As a consequence, they should be broken or gauged in any consistent theory of quantum gravity, in accordance with swampland conjectures. We provide further support to this idea by showing that cobordism and K-theory groups of a general manifold $X$ reproduce the pattern of symmetries expected from the dimensional reduction of the theory on $X$, as well as their breaking and gauging. To this end, we employ the Atiyah-Hirzebruch spectral sequence to compute such groups for common choices of $X$ in string compactifications.
