Galileons as Wess-Zumino Terms
arXiv:1203.3191 · doi:10.1007/JHEP06(2012)004
Abstract
We show that the galileons can be thought of as Wess-Zumino terms for the spontaneous breaking of space-time symmetries. Wess-Zumino terms are terms which are not captured by the coset construction for phenomenological Lagrangians with broken symmetries. Rather they are, in d space-time dimensions, d-form potentials for (d+1)-forms which are non-trivial co-cycles in Lie algebra cohomology of the full symmetry group relative to the unbroken symmetry group. We introduce the galileon algebras and construct the non-trivial (d+1)-form co-cycles, showing that the presence of galileons and multi-galileons in all dimensions is counted by the dimensions of particular Lie algebra cohomology groups. We also discuss the DBI and conformal galileons from this point of view, showing that they are not Wess-Zumino terms, with one exception in each case.
49 pages. v2 minor changes, version appearing in JHEP
References in corpus (50)
- 4D Gravity on a Brane in 5D Minkowski Space
- The galileon as a local modification of gravity
- Resummation of Massive Gravity
- Generalization of the Fierz-Pauli Action
- Theoretical Aspects of Massive Gravity
- Covariant Galileon
- On Renormalization Group Flows in Four Dimensions
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Strong Interactions and Stability in the DGP Model
- Imperfect Dark Energy from Kinetic Gravity Braiding
- G-inflation: inflation driven by the Galileon field
- Nonperturbative Continuity in Graviton Mass versus Perturbative Discontinuity
- Classical and Quantum Consistency of the DGP Model
- Galilean Genesis: an alternative to inflation
- Galileon Cosmology
- Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Galileon inflation
- The Constraints of Conformal Symmetry on RG Flows
- Multi-field galileons and higher co-dimension branes
- Arbitrary p-form Galileons
- Self-Accelerating Universe in Galileon Cosmology
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Symmetries for Galileons and DBI scalars on curved space
- Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity
- Bi-galileon theory I: motivation and formulation
- Primordial non-Gaussianity from the DBI Galileons
- Matter perturbations in Galileon cosmology
- General Embedded Brane Effective Field Theories
- de Sitter Galileon
- Generalizing Galileons
- The geometry of branes and extended superspaces
- Non-relativistic strings and branes as non-linear realizations of Galilei groups
- Stability and superluminality of spherical DBI galileon solutions
- Supersymmetric Galileons
- AdS/CFT Equivalence Transformation
- General Effective Actions
- The Pseudo-Conformal Universe: Scale Invariance from Spontaneous Breaking of Conformal Symmetry
- Tractors, Mass and Weyl Invariance
- Non-linear Realizations of Conformal Symmetry and Effective Field Theory for the Pseudo-Conformal Universe
- The construction of brane and superbrane actions using non-linear realisations
- Automorphisms, Non-linear Realizations and Branes
- Weyl Invariance and the Origins of Mass
- Nonlinear realizations of symmetries and unphysical Goldstone bosons
- Galileons on Cosmological Backgrounds
- Gravity, Two Times, Tractors, Weyl Invariance and Six Dimensional Quantum Mechanics
- Galileons with Gauge Symmetries
- Gauged Galileons From Branes
- Effective actions, relative cohomology and Chern Simons forms
- Galilean currents and charges
Cited by in corpus (90)
- Beyond the Cosmological Standard Model
- A systematic approach to generalisations of General Relativity and their cosmological implications
- Positive Moments for Scattering Amplitudes
- Relativistic Fluids, Superfluids, Solids and Supersolids from a Coset Construction
- Dynamical analysis of generalized Galileon cosmology
- A Hidden Symmetry of the Galileon
- Soft Bootstrap and Supersymmetry
- Amplitudes and 4D Gauss-Bonnet Theory
- Extended Galilean symmetries of non-relativistic strings
- Galileon inflation evades the no-go for PBH formation in the single-field framework
- Dissipation in the effective field theory for hydrodynamics: First order effects
- DBI Realizations of the Pseudo-Conformal Universe and Galilean Genesis Scenarios
- Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
- Spontaneous breaking of spacetime symmetries and the inverse Higgs effect
- Scalar Field Theories with Polynomial Shift Symmetries
- A Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity
- Non-linear Realizations of Conformal Symmetry and Effective Field Theory for the Pseudo-Conformal Universe
- Screening the fifth force in the Horndeski's most general scalar-tensor theories
- Mutual Interactions of Phonons, Rotons, and Gravity
- Shift Symmetries in (Anti) de Sitter Space
- Aspects of Galileon Non-Renormalization
- Topology and Dark Energy: Testing Gravity in Voids
- Retarded Green's Function Of A Vainshtein System And Galileon Waves
- Superluminality, Black Holes and Effective Field Theory
- General coordinate invariance in quantum many-body systems
- Weyl vs. Conformal
- Primordial non-Gaussianity from ultra slow-roll Galileon inflation
- Wess-Zumino Terms for Relativistic Fluids, Superfluids, Solids, and Supersolids
- Gravity as a gapless phase and biform symmetries
- Towards a Theory of the QCD String
- Consistency Relations for the Conformal Mechanism
- Unification of Galileon Dualities
- Goldstones with Extended Shift Symmetries
- Geometry of Special Galileon
- Lie-algebraic classification of effective theories with enhanced soft limits
- Symmetric Superfluids
- Non-linear Representations of the Conformal Group and Mapping of Galileons
- Galileon forces in the Solar System
- Gauge Fields, Nonlinear Realizations, Supersymmetry
- The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
- Inequivalence of Coset Constructions for Spacetime Symmetries
- An Algebraic Classification of Exceptional EFTs
- UV properties of Galileons: Spectral Densities
- Shift symmetries, soft limits, and the double copy beyond leading order
- Einstein Gravity, Massive Gravity, Multi-Gravity and Nonlinear Realizations
- Spontaneously Broken Spacetime Symmetries and the Role of Inessential Goldstones
- Spontaneously Broken Gauge Theories and the Coset Construction
- Large fluctuations and Primordial Black Holes
- Effective field theories for gapless phases with fractons via a coset construction
- Higher derivative scalar-tensor theory through a non-dynamical scalar field
- On c-theorems in arbitrary dimensions
- On the Supersymmetrization of Galileon Theories in Four Dimensions
- Large Charge Sector of 3d Parity-Violating CFTs
- Boost Breaking in the EFT of Inflation
- One-loop corrections to vector Galileon theory
- Homological classification of topological terms in sigma models on homogeneous spaces
- Effective Field Theory for Spontaneously Broken Symmetry
- Shift-Symmetric Spin-1 Theories
- Quantum Corrections to Generic Branes: DBI, NLSM, and More
- Classifying Galileon -form theories
- A No-go Theorem for a Gauge Vector as a Space-time Goldstone
- UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
- Geometry of Multi-Flavor Galileon-Like Theories
- Matter Couplings and Equivalence Principles for Soft Scalars
- Gauged Galileons
- Galileons Coupled to Massive Gravity: General Analysis and Cosmological Solutions
- Supersymmetric Massive Gravity
- Solitons in generalized galileon theories
- Taming galileons in curved spacetime
- Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS
- Conformal/Poincaré Coset, Cosmology, and Descendants of Lovelock Terms
- Conformally Coupled General Relativity
- Galileons as the Scalar Analogue of General Relativity
- An Algebraic Classification of Exceptional EFTs Part II: Supersymmetry
- Gradient expansion of superhorizon perturbations in G-inflation
- Fermionic Shift Symmetries in (Anti) de Sitter Space
- Internal Supersymmetry and Small-field Goldstini
- Impossible Symmetries and Conformal Gravity
- Inequivalent Goldstone Hierarchies for Spontaneously Broken Spacetime Symmetries
- Contractions of AdS brane algebra and superGalileon Lagrangians
- Exceptional nonrelativistic effective field theories with enhanced symmetries
- On the EFT of Conformal Symmetry Breaking
- Symmetry Breaking Patterns for Inflation
- Higher-derivative superparticle in AdS space
- Equivalence of EFTs and Time-Like Extra Dimensions
- Inequivalence of Coset Constructions for Spacetime Symmetries: Coupling with Gravity
- Inverse Higgs phenomena as duals of holonomic constraints
- Gravitational Dressing of 3D Conformal Galileon
- Instability of the cosmological DBI-Galileon in the non-relativistic limit
- An Effective Field Theory of Magneto-Elasticity