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Ongoing ideas developed from the quantum matter and quantum field theory frontier may guide us to explore new physics Beyond the 4d Standard Model (BSM).
In my talk, I will show that the eclectic cross-disciplinary fertilization of ideas between the Math-Physics geometry/topology, Quantum Condensed Matter, and High-Energy Physics (theory, pheno, lattice) may provide new insights into solving open problems.
First, new physics for neutrinos: sterile right-handed neutrinos can carry a Z_{16} class of mixed Baryon minus Lepton (B-L)-gauge-gravitational global anomaly index, which sterile neutrinos could be replaced by 4d or 5d topological quantum field theory, or 4d interacting conformal field theory. This Ultra Unification theory analogous to a boundary-bulk state of 5d topological superconductor provides possible new neutrino mass and leptogenesis mechanisms [arXiv:2012.15860].
Second, Family/Generation problem: Why three families/generations of quarks and leptons? My answer concerns the domain wall dimensional reduction of 3+1d Weyl fermion to 1+1d Majorana-Weyl fermion, Hirzebruch signature theorem, gravitational Chern-Simons 3 E8 quantum Hall states, and modular invariant and framing anomaly-free at chiral central charge c_-=0 mod 24 [arXiv:2312.14928].
Third, deconfined quantum criticality between Grand Unified Theories: dictated by a Z_2 class global anomaly, a gapless quantum critical region can happen between Georgi-Glashow and Pati-Salam models as deformation of Standard Model, where BSM physics like deconfined dark photons occur at neighbor phases [arXiv:2106.16248, arXiv:2112.14765, arXiv:2204.08393].
Video link (internal only):
https://vshare.sjtu.edu.cn/play/2b33bc74-ee28-429f-a793-fa0bb023a22d