Speaker
Shota Komatsu
Description
It is believed that global symmetry cannot exist in UV-complete quantum gravity; even if there appears to be global symmetry at low energy, it is always secretly broken or gauged. I will present a non-perturbative argument for this in quantum gravity in AdS. The argument is for the shift symmetry or more generally spontaneously broken continuous symmetry, but applies beyond the semiclassical regime of gravity unlike the previous results in the literature. I will also present the generalization to higher-form symmetries and provide quantitative estimate of the symmetry breaking using modular bootstrap in AdS3/CFT2.