Baryonic Matter, Ising Anyons and Strong Quantum Gravity

We find that the whole set of known baryons of spin parity JP=12+ (the ground state) and JP=32+ (the first excited state) is organized in multiplets which may efficiently be encoded by the multiplets of conjugacy classes in the small finite group G=(192, 187). A subset of the theory is the small group (48, 29)≅GL(2, 3) whose conjugacy classes are in correspondence with the baryon families of Gell-Mann’s octet and decuplet. G has many of its irreducible characters that are minimal and informationally complete quantum measurements that we assign to the baryon families. Since G is isomorphic to the group of braiding matrices of SU(2)2 Ising anyons, we explore the view that baryonic matter has a topological origin. We are interested in the holographic gravity dual AdS3/QFT2 of the Ising model. This dual corresponds to a strongly coupled pure Einstein gravity with central charge c=1/2 and AdS radius of the order of the Planck scale. Some physical issues related to our approach are discussed.