论文标题
高层对称性和弱重力猜想混合
Higher-Group Symmetries and Weak Gravity Conjecture Mixing
论文作者
论文摘要
在四维轴上电动力学中，形式的Chern-Simons耦合$θf\ wedge f $导致背景量规场之间的高组全球对称性。同时，这种Chern-simons耦合导致轴心和量规场的弱重力猜想之间的混合，从而使弱重力构想构想的轴心敏感轴承的带电激发也将满足量规场的弱重力猜想。在本文中，我们认为这些更高的对称性和这种弱重力猜想混合的现象相互关联。我们表明，这种关系扩展到5、6、7、8、9和10维的超级加重，因此，较高维度的超级重力赋予了确切所需的结构，以确保与新出现的高层对称性以及弱重力构想的一致性。我们进一步认为，在两项Chern-Simons理论或具有动力学混合的理论中可能发生类似的弱重力猜想混合，尽管这里与高层对称性的联系更加微弱，因此，对有效田间理论的约束并不那么敏锐。
In four-dimensional axion electrodynamics, a Chern-Simons coupling of the form $θF \wedge F$ leads to a higher-group global symmetry between background gauge fields. At the same time, such a Chern-Simons coupling leads to a mixing between the Weak Gravity Conjectures for the axion and the gauge field, so that the charged excitations of a Weak Gravity Conjecture-satisfying axion string will also satisfy the Weak Gravity Conjecture for the gauge field. In this paper, we argue that these higher-group symmetries and this phenomenon of Weak Gravity Conjecture mixing are related to one another. We show that this relationship extends to supergravities in 5, 6, 7, 8, 9, and 10 dimensions, so higher-dimensional supergravity is endowed with precisely the structure needed to ensure consistency with emergent higher-group symmetries and with the Weak Gravity Conjecture. We further argue that a similar mixing of Weak Gravity Conjectures can occur in two-term Chern-Simons theories or in theories with kinetic mixing, though the connection with higher-group symmetries here is more tenuous, and accordingly the constraints on effective field theory are not as sharp.
