2-form gauge theory dual to scalar-tensor theory

Abstract

We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories. We derive the action of 2-form gauge field that is dual to two kinds of scalar-tensor theories: shift symmetric K-essence theory and the shift symmetric Horndeski theory up to quadratic in scalar field. The former case, the dual 2-form has a nonlinear kinetic term. The latter case, the dual 2-form has non-trivial interactions with gravity through Einstein tensor. In both case, the duality relation is modified from usual case, that is, the dual 2-form field is not simply given by the Hodge dual of the gradient of the scalar field.

arXiv comment8 pages

References in corpus (32)

• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• k-Inflation
• Axions In String Theory
• Kinetically Driven Quintessence
• Generalized G-inflation: Inflation with the most general second-order field equations
• From k-essence to generalised Galileons
• Chern-Simons Modification of General Relativity
• Healthy theories beyond Horndeski
• Chern-Simons Modified General Relativity
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Horndeski theory and beyond: a review
• Exploring gravitational theories beyond Horndeski
• Dressing a black hole with a time-dependent Galileon
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Extended Scalar-Tensor Theories of Gravity
• Generalization of the Proca Action
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
• Hamiltonian analysis of higher derivative scalar-tensor theories
• Self-tuning and the derivation of the Fab Four
• Extended vector-tensor theories
• Ostrogradsky in Theories with Multiple Fields
• Anisotropic Non-Gaussianity from a Two-Form Field
• Physical Properties of Four Dimensional Superstring Gravity Black Hole Solutions
• Designing Anisotropic Inflation with Form Fields
• Structure of Lanczos-Lovelock Lagrangians in Critical Dimensions
• Gauge Field Mimetic Cosmology
• Anisotropic $2$-form dark energy
• Footprint of Two-Form Field: Statistical Anisotropy in Primordial Gravitational Waves
• Anisotropic inflation with coupled $\mathbf{p}$-forms
• Stable cosmological solutions in degenerate theory of gravity
• A multipole-expanded effective field theory for vortex ring-sound interactions

Cited by in corpus (8)

• Gravitational memory effects in Chern-Simons modified gravity
• Conserved charges in Chern-Simons modified theory and memory effects
• Generalization of the 2-form interactions
• Some disquisitions on cosmological 2-form dualities
• Birth of de Sitter Universe from time crystal
• Topological mass generation and $2-$forms
• Ghost-free resummation of gravitational interactions of a 2-form gauge field
• Horndeski in motion