• Corpus ID: 220265694

Anomaly and Cobordism Constraints Beyond Standard Model: Topological Force

@article{Wang2020AnomalyAC,
  title={Anomaly and Cobordism Constraints Beyond Standard Model: Topological Force},
  author={Juven C. Wang},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
  • Juven C. Wang
  • Published 30 June 2020
  • Physics, Mathematics
  • arXiv: High Energy Physics - Theory
Standard lore uses local anomalies to check the kinematic consistency of gauge theories coupled to chiral fermions, e.g. Standard Models (SM). Based on a systematic cobordism classification [1812.11967, 1910.14668], we examine constraints from invertible quantum anomalies (including all perturbative local and nonperturbative global anomalies) for gauge theories. We also clarify the different uses of these anomalies: including (1) anomaly cancellations of dynamical gauge fields, (2) 't Hooft… 

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References

SHOWING 1-10 OF 180 REFERENCES
Higher Anomalies
  • Higher Symmetries, and Cobordisms I: Classification of Higher-Symmetry-Protected Topological States and Their Boundary Fermionic/Bosonic Anomalies via a Generalized Cobordism Theory, Ann. Math. Sci. Appl. 4 107–311
  • 2019
Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model
Three dimensional topological superconductors (TScs) protected by time reversal (T) symmetry are characterized by gapless Majorana cones on their surface. Free fermion phases with this symmetry
Symmetry protected topological orders and the group cohomology of their symmetry group
Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the
Global anomalies in the Standard Model(s) and beyond
We analyse global anomalies and related constraints in the Standard Model (SM) and various Beyond the Standard Model (BSM) theories. We begin by considering four distinct, but equally valid, versions
Anomaly Indicators for Time-Reversal Symmetric Topological Orders.
TLDR
This work proposes two quantities, which are called anomaly indicators, that can detect if a time-reversal symmetric topological order is anomalous in this sense, and conjecture that η2, together with a previously known indicator η1, can detect the two known Z_{2} anomalies in the bosonic case, while η_{f} can detecting the Z_{16} anomaly in the fermionic case.
Fermion Path Integrals And Topological Phases
Symmetry-protected topological (SPT) phases of matter have been interpreted in terms of anomalies, and it has been expected that a similar picture should hold for SPT phases with fermions. Here, we
Generalized global symmetries
A bstractA q-form global symmetry is a global symmetry for which the charged operators are of space-time dimension q; e.g. Wilson lines, surface defects, etc., and the charged excitations have q
The eta invariant for even dimensional PINc manifolds
In an earlier paper [ 1 l] we used the eta invariant of the tangential SPIN, complex to calculate the complex K-theory of odd dimensional spherical space forms. The only even dimensional spherical
An SU(2) anomaly
A new restriction of fermion quantum numbers in gauge theories is derived. For instance, it is shown that an SU(2) gauge theory with an odd number of left-handed fermion doublets (and no other
On the structure and applications of the steenrod algebra
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