论文标题
IIB型中的全球对称性对称性和广义theta-term
Global symmetry-breaking and generalized theta-terms in Type IIB EFTs
论文作者
论文摘要
长期以来的猜想指出，量子重力应不存在整体对称性。通过研究大型IIB型四维$ \ MATHCAL {N} = 2 $有效的现场理论，我们将招募可能存在的潜在广义全局对称性，并探索如何避免它们。在这种有效的领域理论中出现的关键成分是普遍的$θ$ terms。这些引入了轴突字段之间的非线性耦合和拓扑术语在规格场强的强度中，这破坏了全局对称的很大一部分。假设存在某些充电状态，可以进一步打破其他残留的全局对称性。但是，我们说明，广义$θ$ terms的存在导致了广义的witten效应，这意味着带电状态的光谱是由一个无限填充的晶格构成的。我们进一步表明，这种晶格是由单轨道转换的作用产生的，该变换是在定义有效理论附近的模量空间边界的特征。
A longstanding conjecture states that global symmetries should be absent in quantum gravity. By investigating large classes of Type IIB four-dimensional $\mathcal{N}=2$ effective field theories, we enlist the potential generalized global symmetries that could be present and explore how they are avoided. Crucial ingredients that arise in such effective field theories are generalized $θ$-terms. These introduce non-linear couplings between axion fields and topological terms quadratic in the gauge field strengths which break a large subset of the global symmetries. Additional residual global symmetries may further be broken by assuming the existence of some charged states. However, we illustrate that the presence of generalized $θ$-terms leads to a generalized Witten effect, which implies that the spectrum of charged states is constituted by an infinitely populated lattice. We further show that such a lattice is generated by the action of the monodromy transformation that characterizes the moduli space boundary near which the effective theory is defined.
