Dai-Freed anomalies in particle physics

  title={Dai-Freed anomalies in particle physics},
  author={Inaki Garc'ia-Etxebarria and Miguel Montero},
  journal={Journal of High Energy Physics},
Abstract Anomalies can be elegantly analyzed by means of the Dai-Freed theorem. In this framework it is natural to consider a refinement of traditional anomaly cancellation conditions, which sometimes leads to nontrivial extra constraints in the fermion spectrum. We analyze these more refined anomaly cancellation conditions in a variety of theories of physical interest, including the Standard Model and the SU(5) and Spin(10) GUTs, which we find to be anomaly free. Turning to discrete… 
Anomaly Inflow and the η-Invariant
Perturbative fermion anomalies in spacetime dimension d have a well-known relation to ChernSimons functions in dimension D = d + 1. This relationship is manifested in a beautiful way in “anomaly
The anomaly that was not meant IIB
Type IIB supergravity enjoys a discrete non-Abelian duality group, which has potential quantum anomalies. In this paper we explicitly compute these, and present the bordism group that controls them,
Anomalous symmetries end at the boundary
Abstract A global symmetry of a quantum field theory is said to have an ’t Hooft anomaly if it cannot be promoted to a local symmetry of a gauged theory. In this paper, we show that the anomaly is
Understanding the index theorems with massive fermions
  • H. Fukaya
  • Physics, Mathematics
    International Journal of Modern Physics A
  • 2021
The index theorems relate the gauge field and metric on a manifold to the solution of the Dirac equation on it. In the standard approach, the Dirac operator must be massless to make the chirality
Anomaly inflow and $p$-form gauge theories
Chiral and non-chiral $p$-form gauge fields have gravitational anomalies and anomalies of Green-Schwarz type. This means that they are most naturally realized as the boundary modes of bulk
Anomaly matching in the symmetry broken phase: Domain walls, CPT, and the Smith isomorphism
Symmetries in Quantum Field Theory may have 't Hooft anomalies. If the symmetry is unbroken in the vacuum, the anomaly implies a nontrivial low-energy limit, such as gapless modes or a topological
Remarks on the Green–Schwarz Terms of Six-Dimensional Supergravity Theories
We construct the Green–Schwarz terms of six-dimensional supergravity theories on spacetimes with non-trivial topology and gauge bundle. We prove the cancellation of all global gauge and gravitational
Topological quantum field theory, symmetry breaking, and finite gauge theory in 3+1D
We derive a canonical form for 2-group gauge theory in 3+1D which shows they are either equivalent to Dijkgraaf-Witten theory or to the so-called "EF1" topological order of Lan-Wen. According to that
Global anomalies on the Hilbert space
Abstract We show that certain global anomalies can be detected in an elementary fashion by analyzing the way the symmetry algebra is realized on the torus Hilbert space of the anomalous theory.
Topological effects in particle physics phenomenology
This thesis is devoted to the study of topological effects in quantum field theories, with a particular focus on phenomenological applications. We begin by deriving a general classification of


Standard model with gravity couplings.
  • Chang, Soo
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1996
The coupling of matter fields to gravity within the framework of the standard model of particle physics is examined, described in terms of Weyl fermions of a definite chirality, and employs only (anti-)self-dual or left-handed spin connection fields.
Is CP a gauge symmetry
What is the Discrete Gauge Symmetry of the MSSM?
We systematically study the extension of the Supersymmetric Standard Model (SSM) by an anomaly-free discrete gauge symmetry ZN . We extend the work of Ibáñez and Ross with N = 2, 3 to arbitrary
More about discrete gauge anomalies
Gauged Discrete Symmetries and Proton Stability
Author(s): Mohapatra, Rabindra N; Ratz, Michael | Abstract: We discuss the results of a search for anomaly-free Abelian ZN discrete symmetries that lead to automatic R-parity conservation and prevent
Discrete gauge symmetry anomalies
Global gravitational anomalies
A general formula for global gauge and gravitational anomalies is derived. It is used to show that the anomaly free supergravity and superstring theories in ten dimensions are all free of global
Symmetries and Strings in Field Theory and Gravity
We discuss aspects of global and gauged symmetries in quantum field theory and quantum gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of Zp gauge theories shows