Fracton topological order, generalized lattice gauge theory, and duality by Vijay, Sagar, Haah, Jeongwan, Fu, Liang

“…We introduce a generalization of conventional lattice gauge theory to describe fracton topological phases, which are characterized by immobile, pointlike topological excitations, and subextensive topological degeneracy. …”
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Twisted gauge theory model of topological phases in three dimensions by Wan, Yidun, He, Huan, Wang, Juven

“…Our model fulfills a Hamiltonian extension of the (3+1)-dimensional Dijkgraaf-Witten topological gauge theory with a gauge group G. This work is presented to be accessible for a wide range of physicists and mathematicians.…”
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Status and future perspectives for lattice gauge theory calculations to the exascale and beyond by Joó, Bálint, Jung, Chulwoo, Christ, Norman H, Detmold, William, Edwards, Robert G, Savage, Martin, Shanahan, Phiala

“…In this and a set of companion white papers, the USQCD Collaboration lays out a program of science and computing for lattice gauge theory. These white papers describe how calculation using Lattice QCD (and other gauge theories) can aid the interpretation of ongoing and upcoming experiments in particle and nuclear physics, as well as inspire new ones.…”
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Phase transitions in ZN gauge theory and twisted ZN topological phases by Barkeshli, Maissam, Wen, Xiao-Gang

“…We find a series of non-Abelian topological phases that are separated from the deconfined phase of Z[subscript N] gauge theory by a continuous quantum phase transition. …”
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A Lattice Non-Perturbative Definition of an SO(10) Chiral Gauge Theory and Its Induced Standard Model by Wen, Xiao-Gang

“…The standard model is a chiral gauge theory where the gauge fields couple to the right-hand and the left-hand fermions differently. …”
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Quantized topological terms in weak-coupling gauge theories with a global symmetry and their connection to symmetry-enriched topological phases by Hung, Ling-Yan, Wen, Xiao-Gang

“…We study the quantized topological terms in a weak-coupling gauge theory with gauge group G[subscript g] and a global symmetry G[subscript s] in d space-time dimensions. …”
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Symmetry-protected topological phases with charge and spin symmetries: Response theory and dynamical gauge theory in two and three dimensions by Ye, Peng, Wang, Juven

“…For the SPT examples we consider, the corresponding SET states are described by dynamical topological gauge theory with topological BF term and axionic Θ term in 3D bulk. …”
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Topological nonlinear σ -model, higher gauge theory, and a systematic construction of 3 + 1 D topological orders for boson systems by Zhu, Chenchang, Lan, Tian, Wen, Xiao-Gang

“…A subset of these topological nonlinear σ-models corresponds to 2-gauge theories, which realize and may classify bosonic topological orders with emergent fermions that have no emergent Majorana zero modes at triple string intersections.…”
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Non-Abelian string and particle braiding in topological order: Modular SL(3,Z) representation and (3 + 1)-dimensional twisted gauge theory by Wen, Xiao-Gang, Wang, Juven

“…The 3 + 1D twisted gauge theory can be characterized by a representation of a modular transformation group, SL(3,Z). …”
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Subdimensional particle structure of higher rank U (1) spin liquid by Pretko, Michael

“…Spin liquids are conventionally described by gauge theories with a vector gauge field. However, there exists a wider class of spin liquids with higher rank tensors as the gauge variable. …”
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Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes by Chesler, Paul M., Yaffe, Laurence G.

“…Three examples, motivated by applications to non-equilibrium dynamics in strongly coupled gauge theories, are discussed as instructive test cases. …”
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Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes by Chesler, Paul Michael, Yaffe, Laurence G.

“…Three examples, motivated by applications to non-equilibrium dynamics in strongly coupled gauge theories, are discussed as instructive test cases. …”
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Scalable fermionic error correction in Majorana surface codes by Viyuela, Oscar, Vijay, Sagar, Fu, Liang

“…In addition, we derive lattice gauge theories to account for measurement errors. These results, together with the inherent error suppression provided by the superconducting gap in physical realizations of the MSCs, makes this a strong candidate for a robust topological quantum memory.…”
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Non-Abelian statistics versus the Witten anomaly by McGreevy, John, Swingle, Brian Gordon

“…To this end, we study the fermionic collective coordinates of magnetic monopoles in 3+1-dimensional spontaneously-broken SU(2) gauge theories with various spectra of fermions. We argue that a single Majorana zero mode of the monopole is not compatible with cancellation of the Witten SU(2) anomaly. …”
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L∞ algebras and field theory by Hohm, Olaf, Zwiebach, Barton

“…We sketch such formulations for non-abelian gauge theories, Einstein gravity, and for double field theory. …”
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Field-induced QCD_{3}-Chern-Simons quantum criticalities in Kitaev materials by Zou, Liujun

“…Utilizing the recently developed dualities of gauge theories, we find these transitions can be described by critical bosons or gapless fermions coupled to emergent non-Abelian gauge fields, and the critical theories are of the type of a QCD_{3}-Chern-Simons theory. …”
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Nonperturbative definition of the standard models by Wang, Juven, Wen, Xiao-Gang

“…The Standard Models contain chiral fermions coupled to gauge theories. It has been a long-standing problem to give such gauged chiral fermion theories a quantum non-perturbative definition. …”
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Classification of (3+1)D Bosonic Topological Orders: The Case When Pointlike Excitations Are All Bosons by Kong, Liang, Lan, Tian, Wen, Xiao-Gang

“…Furthermore, all such 3+1D topological orders can be realized by Dijkgraaf-Witten gauge theories.…”
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Pinch point singularities of tensor spin liquids by Prem, Abhinav, Chou, Yang-Zhi, Pretko, Michael, Nandkishore, Rahul M., Vijay, Sagar

“…Recently, a new class of three-dimensional spin liquid models have been theoretically discovered, which feature generalized Coulomb phases of emergent symmetric tensor U(1) gauge theories. These “higher rank” tensor models are particularly intriguing due to the presence of quasiparticles with restricted mobility, such as fractons. …”
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An extension of the Faddeev–Jackiw technique to fields in curved spacetimes by Bertschinger, Edmund, Prescod-Weinstein, Chanda

“…Lagrangians representing gauge theories, fails due to the presence of constraints. …”
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