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atyy

Science Advisor

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## Main Question or Discussion Point

There is a proposal for a generalized lattice standard model by Juven Wang and Xiao-Gang Wen. Could this be correct? I've put this under BTSM because it also mentions grand unified models.

https://arxiv.org/abs/1809.11171

Juven Wang, Xiao-Gang Wen

(Submitted on 28 Sep 2018 (v1), last revised 11 Oct 2018 (this version, v2))

The standard models contain chiral fermions coupled to gauge theory. It has been a long-standing problem to give such gauged chiral fermion theories a non-perturbative definition. Based on the classification of quantum anomalies and symmetric invertible topological orders via a mathematical cobordism theorem, and the existence of non-perturbative interactions gapping the mirror world's chiral fermions for any all-anomaly-free theory, here we show rigorously that the standard models from the SO(10) and SO(18) grand unifications (more precisely, Spin(10) and Spin(18) chiral gauge theories) can be defined non-perturbatively via a 3+1D local lattice model of bosons or qubits, while the standard models from the SU(5) grand unification can be realized by a 3+1D local lattice model of fermions. This represents a unification of Matters and Forces by Quantum Information.

https://arxiv.org/abs/1809.11171

**A Non-Perturbative Definition of the Standard Models**Juven Wang, Xiao-Gang Wen

(Submitted on 28 Sep 2018 (v1), last revised 11 Oct 2018 (this version, v2))

The standard models contain chiral fermions coupled to gauge theory. It has been a long-standing problem to give such gauged chiral fermion theories a non-perturbative definition. Based on the classification of quantum anomalies and symmetric invertible topological orders via a mathematical cobordism theorem, and the existence of non-perturbative interactions gapping the mirror world's chiral fermions for any all-anomaly-free theory, here we show rigorously that the standard models from the SO(10) and SO(18) grand unifications (more precisely, Spin(10) and Spin(18) chiral gauge theories) can be defined non-perturbatively via a 3+1D local lattice model of bosons or qubits, while the standard models from the SU(5) grand unification can be realized by a 3+1D local lattice model of fermions. This represents a unification of Matters and Forces by Quantum Information.