# Classifying Galileon $p$-form theories

@article{Deffayet2017ClassifyingG, title={Classifying Galileon \$p\$-form theories}, author={Cedric Deffayet and Sebastian Garcia-Saenz and Shinji Mukohyama and Vishagan Sivanesan}, journal={Physical Review D}, year={2017}, volume={96}, pages={045014} }

We provide a complete classification of all abelian gauge invariant $p$-form theories with equations of motion depending only on the second derivative of the field---the $p$-form analogues of the Galileon scalar field theory. We construct explicitly the nontrivial actions that exist for spacetime dimension $D\leq11$, but our methods are general enough and can be extended to arbitrary $D$. We uncover in particular a new $4$-form Galileon cubic theory in $D\geq8$ dimensions. As a by-product we…

## 14 Citations

### Arbitrarily coupled p -forms in cosmological backgrounds

- MathematicsClassical and Quantum Gravity
- 2020

In this paper we consider a model based on interacting p -forms and explore some cosmological applications. Restricting to gauge invariant actions, we build a general Lagrangian allowing for…

### A Unified Approach to Standard and Exotic Dualizations Through Graded Geometry

- MathematicsCommunications in Mathematical Physics
- 2020

Gauge theories can often be formulated in different but physically equivalent ways, a concept referred to as duality. Using a formalism based on graded geometry, we provide a unified treatment of all…

### Galileon-like vector fields

- Mathematics, PhysicsPhysical Review D
- 2019

We construct simple Lagrangians of vector fields which involve second derivatives, but nevertheless lead to second order field equations. These vector fields are, therefore, analogs of generalized…

### Anisotropic inflation with coupled p−forms

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2019

We study the cosmology in the presence of arbitrary couplings between p-forms in 4-dimensional space-time for a general action respecting gauge symmetry and parity invariance. The interaction between…

### Towards the extended SU(2) Proca theory

- Mathematics
- 2021

In this work, we explore the construction of the most general vector-tensor theory with an SU(2) global symmetry in the vector sector as a proposal for a modiﬁed theory of gravity. We start with a…

### Gauged galileons

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe discuss the gauging of non-linearly realized symmetries as a method to systematically construct spontaneously broken gauge theories. We focus in particular on galileon fields and, using a…

### Ghost-free scalar-fermion interactions

- Physics
- 2018

We discuss a covariant extension of interactions between scalar fields and fermions in a flat space-time. We show, in a covariant theory, how to evade fermionic ghosts appearing because of the extra…

### Tensor Galileons as Lovelock theories

- Physics
- 2020

We review the construction of Galileon interactions involving a single two-column mixed-symmetry tensor of arbitrary degree in flat spacetime of arbitrary dimensions, in a reverse engineering spirit.…

### New Weyl-invariant vector-tensor theory for the cosmological constant

- MathematicsJournal of Cosmology and Astroparticle Physics
- 2019

We introduce a new Weyl-invariant and generally-covariant vector-tensor theory with higher derivatives. This theory can be induced by extending the mimetic construction to vector fields of conformal…

### Proca-Nuevo

- Physics
- 2020

We propose a new class of Proca interactions that enjoy a non–trivial constraint and hence propagates the correct number of degrees of freedom for a healthy massive spin–1 field. We show that the…

## References

SHOWING 1-10 OF 46 REFERENCES

### Phys

- Rev. D93, 085027
- 2016

### Phys

- Rev. D82, 061501
- 2010

### JHEP 04

- 082
- 2014

### and P

### JCAP 1410

- 071
- 2014

### Phys

- Lett. B760, 617
- 2016

### JCAP 1602

- 004
- 2016

### Phys

- Rev. D82, 124018
- 2010

### JHEP 04

- 032
- 2013

### and M

- von Strauss, Phys. Rev. D92, 064009
- 2015