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Open AccessDualities among massive, partially massless and shift symmetric fields on (A)dS
We catalog all the electromagnetic-like dualities that exist between free dynamical bosonic fields of arbitrary symmetry type and mass on (anti-) de Sitter space in all dimensions, including dualities among th...
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Open AccessFermionic shift symmetries in (anti) de Sitter space
We study extended shift symmetries that arise for fermionic fields on anti-de Sitter (AdS) space and de Sitter (dS) space for particular values of the mass relative to the curvature scale. We classify these sy...
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Open AccessShift Symmetries and AdS/CFT
Massive fields on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary conformal field t...
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Open AccessGravity as a gapless phase and biform symmetries
We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of...
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Open AccessShift symmetries for p-forms and mixed symmetry fields on (A)dS
Massive fields on (anti) de Sitter space realize extended shift symmetries at particular values of their masses. We find these symmetries for all bosonic p-forms and mixed symmetry fields, in arbitrary spacetime ...
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Open AccessExceptional scalar theories in de Sitter space
The special galileon and Dirac-Born-Infeld (DBI) theories are effective field theories of a single scalar field that have many interesting properties in flat space. These theories can be extended to all maxima...
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Open Access\( \mathcal{N} \) = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations
We find and classify the simplest N \( \mathcal{N} \) = 2 SUSY multiplets o...
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Open AccessOn the conformal symmetry of exceptional scalar theories
The DBI and special galileon theories exhibit a conformal symmetry at unphysical values of the spacetime dimension. We find the Lagrangian form of this symmetry. The special conformal transformations are non-l...
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Open AccessBootstrap bounds on closed Einstein manifolds
A compact Riemannian manifold is associated with geometric data given by the eigenvalues of various Laplacian operators on the manifold and the triple overlap integrals of the corresponding eigenmodes. This ge...
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Open AccessMatter couplings and equivalence principles for soft scalars
Scalar effective field theories with enhanced soft limits behave in many ways like gauge theories and gravity. In particular, symmetries fix the structure of interactions and the tree-level S-matrix in both types...
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Open AccessUnitarization from geometry
We study the perturbative unitarity of scattering amplitudes in general dimensional reductions of Yang-Mills theories and general relativity on closed internal manifolds. For the tree amplitudes of the dimensi...
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Open AccessShapes of gravity: tensor non-Gaussianity and massive spin-2 fields
If the graviton is the only high spin particle present during inflation, then the form of the observable tensor three-point function is fixed by de Sitter symmetry at leading order in slow-roll, regardless of ...
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Open AccessShift-symmetric spin-1 theories
We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors. We show how they emerge from the massless limi...
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Open AccessShift symmetries in (anti) de Sitter space
We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon ...
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Open AccessSupersymmetric partially massless fields and non-unitary superconformal representations
We find and classify the N = 1
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Open AccessOn the (A)dS decoupling limits of massive gravity
We consider various decoupling limits of ghost-free massive gravity on (A)dS. The first is a decoupling limit on AdS space where the mass goes to zero while the AdS radius is held fixed. This results in an int...
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Open AccessMassive and massless spin-2 scattering and asymptotic superluminality
We constrain theories of a massive spin-2 particle coupled to a massless spin-2 particle by demanding the absence of a time advance in eikonal scattering. This is an S-matrix consideration that leads to model-ind...
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Open AccessMassive spin-2 scattering and asymptotic superluminality
We place model-independent constraints on theories of massive spin-2 particles by considering the positivity of the phase shift in eikonal scattering. The phase shift is an asymptotic S-matrix observable, related...
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Open AccessSuperluminality, black holes and EFT
Under the assumption that a UV theory does not display superluminal behavior, we ask what constraints on superluminality are satisfied in the effective field theory (EFT). We study two examples of effective th...
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Open AccessPartially massless higher-spin theory
We study a generalization of the D-dimensional Vasiliev theory to include a tower of partially massless fields. This theory is obtained by replacing the usual higher-spin algebra of Killing tensors on (A)dS with ...