Anomalies in the space of coupling constants and their dynamical applications II

@article{Crdova2019AnomaliesIT,
  title={Anomalies in the space of coupling constants and their dynamical applications II},
  author={Clay C{\'o}rdova and Daniel S. Freed and Ho Tat Lam and Nathan Seiberg},
  journal={arXiv: High Energy Physics - Theory},
  year={2019}
}
We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the $\theta$-parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used… 

Tables from this paper

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 Obstructions to Symmetry Preserving Gapped Phases
Anomalies are renormalization group invariants that constrain the dynamics of quantum field theories. We show that certain anomalies for discrete global symmetries imply that the underlying theory
Anomaly In-Flow and Gapped Phases
We study generalized discrete symmetries of quantum field theories in 1+1D generated by topological defect lines with no inverse. In particular, we describe ’t Hooft anomalies and classify gapped
Anomaly and Superconnection
We study anomalies of fermions with spacetime dependent mass. Using Fujikawa’s method, it is found that the anomalies associated with the U(N)+ × U(N)− chiral symmetry and U(N) flavor symmetry for
Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases
We study generalized discrete symmetries of quantum field theories in 1+1D generated by topological defect lines with no inverse. In particular, we describe 't Hooft anomalies and classify gapped
Higher-form symmetries and their anomalies in M-/F-theory duality
We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to
Anomaly-induced edge currents in hydrodynamics with parity anomaly
In this paper, we discuss relativistic hydrodynamics for a massless Dirac fermion in (2 + 1) dimensions, which has the parity anomaly – a global ’t Hooft anomaly between U(1) and parity symmetries.
Anomaly Inflow for Subsystem Symmetries
We study ’t Hooft anomalies and the related anomaly inflow for subsystem global symmetries. These symmetries and anomalies arise in a number of exotic systems, including models with fracton order
Anomalies for anomalous symmetries
4d gauge theories with massless fermions typically have axial U(1) transformations that suffer from the ABJ anomaly. One can modify the theory of interest by adding more fields in a way that restores
Generalized global symmetries of T[M] theories. Part I
We study reductions of 6d theories on a d-dimensional manifold Md, focusing on the interplay between symmetries, anomalies, and dynamics of the resulting (6 − d)-dimensional theory T[Md]. We refine
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 151 REFERENCES
Anomalies in the space of coupling constants and their dynamical applications I
It is customary to couple a quantum system to external classical fields. One application is to couple the global symmetries of the system (including the Poincaré symmetry) to background gauge fields
Global Symmetries, Counterterms, and Duality in Chern-Simons Matter Theories with Orthogonal Gauge Groups
We study three-dimensional gauge theories based on orthogonal groups. Depending on the global form of the group these theories admit discrete $\theta$-parameters, which control the weights in the sum
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
ANOMALIES AND FERMION ZERO MODES ON STRINGS AND DOMAIN WALLS
the parity anomaly in 2n + 1 dimensions, and the Dirac index density in 2n + 2 dimensions can be understood in terms of the physics of fermion zero modes on strings and domain walls. We show that the
Phases Of Adjoint QCD$_3$ And Dualities
We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows
On 2-group global symmetries and their anomalies
A bstractIn general quantum field theories (QFTs), ordinary (0-form) global symmetries and 1-form symmetries can combine into 2-group global symmetries. We describe this phenomenon in detail using
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
Supersymmetric Index In Four-Dimensional Gauge Theories
This paper is devoted to a systematic discussion of the supersymmetric index Tr (-1)^F for the minimal supersymmetric Yang-Mills theory -- with any simple gauge group G -- primarily in four spacetime
Dynamics of QCD3 with rank-two quarks and duality
Three-dimensional gauge theories coupled to fermions can develop interesting nonperturbative dynamics. Here we study in detail the dynamics of $SU(N)$ gauge theories coupled to a Dirac fermion in the
Anomaly constraints on deconfinement and chiral phase transition
We study constraints on thermal phase transitions of ${\rm SU}(N_c)$ gauge theories by using the 't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two cases of massless
...
1
2
3
4
5
...