• Corpus ID: 220265694

Anomaly and Cobordism Constraints Beyond Standard Model: Topological Force

  title={Anomaly and Cobordism Constraints Beyond Standard Model: Topological Force},
  author={Juven C. Wang},
  journal={arXiv: High Energy Physics - Theory},
  • 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… 

Figures and Tables from this paper

Anomaly and Cobordism Constraints Beyond Grand Unification: Energy Hierarchy
A recent work [2006.16996] suggests that a 4d nonperturbative global anomaly of mod 16 class hinting a possible new hidden gapped topological sector beyond the Standard Model (SM) and Georgi-Glashow
Ultra Unification
Strong, electromagnetic, and weak forces were unified in the Standard Model (SM) with spontaneous gauge symmetry breaking. These forces were further conjectured to be unified in a simple Lie group
Cobordism and Deformation Class of the Standard Model
’t Hooft anomalies of quantum field theories (QFTs) with an invertible global symmetry G (including spacetime and internal symmetries) in a dd spacetime are known to be classified by a d+1d cobordism
Comments on Symmetric Mass Generation in 2d and 4d
Symmetric mass generation is the name given to a mechanism for gapping fermions while preserving a chiral, but necessarily non-anomalous, symmetry. In this paper we describe how symmetric mass
Cobordism conjecture, anomalies, and the String Lamppost Principle
We consider consequences of triviality of cobordism classes and anomaly cancellation in supergravity theories in $d>6$. We argue that this leads to the existence of certain defects which we call
Gapped Chiral Fermions
In principle, there is no obstacle to gapping fermions preserving any global symmetry that does not suffer a 't Hooft anomaly. In practice, preserving a symmetry that is realised on fermions in a
Higher anomalies, higher symmetries, and cobordisms III: QCD matter phases anew
Abstract We explore quark matter in 4d quantum chromodynamics (QCD4), the μ-T (chemical potential-temperature) phase diagram, possible 't Hooft anomalies, and topological terms, via non-perturbative
The algebra of anomaly interplay
We give a general description of the interplay that can occur between local and global anomalies, in terms of (co)bordism. Mathematically, such an interplay is encoded in the non-canonical splitting
Unwinding Fermionic SPT Phases: Supersymmetry Extension
We show how 1+1-dimensional fermionic symmetry-protected topological states (SPTs, i.e. nontrivial short-range entangled gapped phases of quantum matter whose boundary exhibits 't Hooft anomaly and
Higher anomalies, higher symmetries, and cobordisms II: Lorentz symmetry extension and enriched bosonic / fermionic quantum gauge theory
We systematically study Lorentz symmetry extensions in quantum field theories (QFTs) and their 't Hooft anomalies via cobordism. The total symmetry $G'$ can be expressed in terms of the extension of


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.
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
Nutzungsbedingungen Mit dem Zugriff auf den vorliegenden Inhalt gelten die Nutzungsbedingungen als akzeptiert. Die angebotenen Dokumente stehen für nicht-kommerzielle Zwecke in Lehre, Forschung und