publication . Preprint . 2019

Higher-Rank Tensor Field Theory of Non-Abelian Fracton and Embeddon

Wang, Juven; Xu, Kai;
Open Access English
  • Published: 30 Sep 2019
Abstract
We formulate a new class of tensor gauge field theories in any dimension that is a hybrid class between symmetric higher-rank tensor gauge theory (i.e., higher-spin gauge theory) and anti-symmetric tensor topological field theory. Our theory describes a mixed unitary phase interplaying between gapless and gapped topological order phases (which can live with or without Euclidean, Poincar\'e or anisotropic symmetry, at least in ultraviolet high or intermediate energy field theory, but not yet to a lattice cutoff scale). The "gauge structure" can be compact, continuous, abelian or non-abelian. Our theory sits outside the paradigm of Maxwell electromagnetic theory i...
Subjects
free text keywords: High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, Mathematical Physics
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55 references, page 1 of 4

[1] J. C. Maxwell, A dynamical theory of the electromagnetic field, Phil. Trans. Roy. Soc. Lond. 155 459-512 (1865).

[2] H. Weyl, Elektron und Gravitation. I, Zeitschrift fur Physik 56 330-352 (1929 May).

[3] W. Pauli, Relativistic field theories of elementary particles, Rev. Mod. Phys. 13 203-232 (1941 Jul). [OpenAIRE]

[4] S.-S. Chern, Characteristic classes of hermitian manifolds, Annals of Mathematics 85-121 (1946).

[5] C. N. Yang and R. L. Mills, Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev. 96 191-195 (1954 Oct).

[6] R. M. Nandkishore and M. Hermele, Fractons, Ann. Rev. Condensed Matter Phys. 10 295-313 (2019), [arXiv:1803.11196].

[7] M. Kalb and P. Ramond, Classical direct interstring action, Phys. Rev. D9 2273-2284 (1974). [OpenAIRE]

[8] T. Banks and N. Seiberg, Symmetries and Strings in Field Theory and Gravity, Phys. Rev. D83 084019 (2011), [arXiv:1011.5120]. [OpenAIRE]

[9] D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized Global Symmetries, JHEP 02 172 (2015), [arXiv:1412.5148].

[10] J. C. Wang and X.-G. Wen, Non-Abelian string and particle braiding in topological order: Modular SL (3 ,Z ) representation and (3 +1 ) -dimensional twisted gauge theory, Phys. Rev. B 91 035134 (2015 Jan.), [arXiv:1404.7854].

[11] J. C. Wang, Z.-C. Gu and X.-G. Wen, Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond, Phys. Rev. Lett. 114 031601 (2015), [arXiv:1405.7689].

[12] Z.-C. Gu, J. C. Wang and X.-G. Wen, Multi-kink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF theory, Phys. Rev. B93 115136 (2016), [arXiv:1503.01768].

[13] P. Ye and Z.-C. Gu, Topological quantum field theory of three-dimensional bosonic Abelian-symmetry-protected topological phases, Phys. Rev. B93 205157 (2016), [arXiv:1508.05689].

[14] J. C.-F. Wang, Aspects of Symmetry, Topology and Anomalies in Quantum Matter. PhD thesis, MIT, 2015. arXiv:1602.05569.

[15] J. Wang, X.-G. Wen and S.-T. Yau, Quantum Statistics and Spacetime Surgery, arXiv:1602.05951.

55 references, page 1 of 4
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