Symmetric Scalars
arXiv:1909.04622 · doi:10.1088/1475-7516/2020/05/031
Abstract
We provide a complete classification of Poincaré-invariant scalar field theories with an enlarged set of classical symmetries to leading order in derivatives, namely for the so-called theories, in two or more spacetime dimensions. We find only three possibilities: Dirac-Born-Infeld, Cuscuton and Scaling theories. The latter two classes of actions involve an arbitrary function of the scalar field. As an application, we use the scaling symmetry to derive an infinite set of constraints on the Wilsonian coefficients of the low-energy Effective Field Theory. Furthermore, we study the extension of these results to cosmological (FLRW) and (Anti-)de Sitter spacetimes. We find in particular that the Cuscuton action has a generic set of symmetries around any background spacetime that possesses Killing vector fields, while the DBI actions have well-known analogues that we summarize explicitly.
arXiv comment26 pages
References in corpus (52)
- Cosmology and the Fate of Dilatation Symmetry
- The galileon as a local modification of gravity
- The Effective Field Theory of Inflation
- Causality, Analyticity and an IR Obstruction to UV Completion
- DBI in the Sky
- Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
- Healthy theories beyond Horndeski
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- Exploring gravitational theories beyond Horndeski
- k-Essence, superluminal propagation, causality and emergent geometry
- Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
- DBI and the Galileon reunited
- Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
- Effective Field Theories from Soft Limits
- A Periodic Table of Effective Field Theories
- Symmetries for Galileons and DBI scalars on curved space
- Semiclassics, Goldstone Bosons and CFT data
- On causality and superluminal behavior in classical field theories. Applications to k-essence theories and MOND-like theories of gravity
- Cuscuton Cosmology: Dark Energy meets Modified Gravity
- Cuscuton and low energy limit of Horava-Lifshitz gravity
- Emergent scale symmetry: Connecting inflation and dark energy
- Scale-Independent Inflation and Hierarchy Generation
- Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
- On the CFT Operator Spectrum at Large Global Charge
- AdS/CFT Equivalence Transformation
- DBI Realizations of the Pseudo-Conformal Universe and Galilean Genesis Scenarios
- Non-linear Realizations of Conformal Symmetry and Effective Field Theory for the Pseudo-Conformal Universe
- Inflation in a scale invariant universe
- Spontaneous Symmetry Probing
- Adler's Zero and Effective Lagrangians for Nonlinearly Realized Symmetry
- Shift Symmetries in (Anti) de Sitter Space
- Hamiltonian analysis of the cuscuton
- The Effective Theory of Shift-Symmetric Cosmologies
- Who You Gonna Call? Runaway Ghosts, Higher Derivatives and Time-Dependence in EFTs
- Evolving Planck Mass in Classically Scale-Invariant Theories
- Stationary Configurations Imply Shift Symmetry: No Bondi Accretion for Quintessence / k-Essence
- Rotating superfluids and spinning charged operators in conformal field theory
- Generalised Scale Invariant Theories
- Lie-algebraic classification of effective theories with enhanced soft limits
- Symmetric Superfluids
- Non-linear Representations of the Conformal Group and Mapping of Galileons
- Probing Scalar Effective Field Theories with the Soft Limits of Scattering Amplitudes
- Revisiting the cuscuton as a Lorentz-violating gravity theory
- An Algebraic Classification of Exceptional EFTs
- A geometrical approach to degenerate scalar-tensor theories
- Dressed Power-law Inflation with Cuscuton
- Accelerating Universe with a stable extra dimension in cuscuton gravity
- DBI Galileon in the Effective Field Theory of Inflation: Orthogonal non-Gaussianities and constraints from the Trispectrum
- A No-go Theorem for a Gauge Vector as a Space-time Goldstone
- First Sound in Holographic Superfluids at Zero Temperature
- An Algebraic Classification of Exceptional EFTs Part II: Supersymmetry
- ISO(4,1) Symmetry in the EFT of Inflation
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- On the Symmetries of Cosmological Perturbations
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- The Cosmological Phonon: Symmetries and Amplitudes on Sub-Horizon Scales
- Exceptional scalar theories in de Sitter space
- Non-uniqueness of massless transverse-traceless graviton
- Quantum Corrections to Generic Branes: DBI, NLSM, and More
- Symmetries for scalarless scalar theories
- Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
- Bispectrum Islands
- How Much NEC Breaking Can the Universe Endure?
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