标题： 非等距码导致的全局对称性破坏 显示英文标题

标题： Global symmetry violation from non-isometric codes

摘要： 我们通过将黑洞建模为非等距码来研究量子引力中的无全局对称性猜想，将带有全局电荷的内部状态编码到基本状态中。 带电态的内积波动相比没有电荷的情况更大。 非等距映射导致不同电荷的状态具有非零重叠，表明对称性被破坏。 带有全局电荷的辐射的Renyi熵与量子极值表面公式一致。 我们计算了相对熵的Renyi版本，这是一个用于衡量霍金辐射中全局对称性破坏程度的量，并证明了全局对称性确实被破坏。 显示英文摘要

摘要： We study the no global symmetry conjecture in quantum gravity by modeling black holes as non-isometric codes, encoding the interior states with global charges into the fundamental states. The fluctuation of the inner products of the charged states can be larger compared to the case without charges. The non-isometric map causes states with different charges to have non-zero overlaps, signaling symmetry violation. The Renyi entropies of the radiation with global charges are found to be consistent with the quantum extremal surface formula. We compute the Renyi version of relative entropy, a quantity used to measure the degree of global symmetry violation in the Hawking radiation, and demonstrate that global symmetries are indeed violated.