论文标题
拓扑违反量子重力的全球对称性
Topological violation of global symmetries in quantum gravity
论文作者
论文摘要
我们讨论了一个拓扑原因，为什么至少当对称性来自较高形式对称性的压缩时，全局对称性在量子重力中没有保守。该机制纯粹是拓扑的，不需要在紫外线拉格朗日中任何明确的破坏术语。局部电流保护并不意味着路径积分中的几何形状的总和保存。我们明确考虑类似轴的磁场的移位对称性，该场源自$ p $ - 图形字段的压缩。我们的拓扑结构是由Brane/Black-Brane对应关系Brane Instantons的动机，以及一种简单类型的虚拟黑色麸皮可以通过时空歧管手术实现的想法。
We discuss a topological reason why global symmetries are not conserved in quantum gravity, at least when the symmetry comes from compactification of a higher form symmetry. The mechanism is purely topological and does not require any explicit breaking term in the UV Lagrangian. Local current conservation does not imply global charge conservation in a sum over geometries in the path integral. We explicitly consider the shift symmetry of an axion-like field which originates from the compactification of a $p$-form gauge field. Our topological construction is motivated by the brane/black-brane correspondence, brane instantons, and an idea that virtual black branes of a simple kind may be realized by surgery on spacetime manifolds.
