The study of generalized symmetries in the last decade has provided a rigorous framework for the language of physics,  having born from string theory research. The framework has a potential in explaining the quark confinement, phases of matter and  also  it is useful in studies of bosonisation. It is still pushing the boundaries of mathematics with TQFT's and various categorical phenomena.

I am also doing my undergraduate thesis project on spin models, lattice gauge theories and quantum computing. The models provide faithful explanations to the confining phases  There are still some open problems on low temperature expansions  non-Abelian lattice models. A convincing calculation is yet to be established. In addition, modeling supergravity on lattice is still an active research area but I believe the community believes it cannot be done. The quantum computing through a lattice model is interesting because the Wilson Lines here are topological due to being defined on a torus. I will provide the pdf to my thesis as it is over.

The celebrated correspondence provides many interesting dualities between a gravitational theory and a low dimensional non-gravitation theory. We do not know how to sum over all possible metric tensors so we do not have a theory of quantum gravity yet. However, through this duality one can explore the many aspects due to rich symmetries. The application of higher spin objects is said  to be restore quantum gravity due to the infinite set of symmetry, even richer than the Virosoro!