Supergravitational Conformal Galileons

Abstract

The worldvolume actions of 3+1 dimensional bosonic branes embedded in a five-dimensional bulk space can lead to important effective field theories, such as the DBI conformal Galileons, and may, when the Null Energy Condition is violated, play an essential role in cosmological theories of the early universe. These include Galileon Genesis and "bouncing" cosmology, where a pre-Big Bang contracting phase bounces smoothly to the presently observed expanding universe. Perhaps the most natural arena for such branes to arise is within the context of superstring and $M$-theory vacua. Here, not only are branes required for the consistency of the theory, but, in many cases, the exact spectrum of particle physics occurs at low energy. However, such theories have the additional constraint that they must be $N=1$ supersymmetric. This motivates us to compute the worldvolume actions of $N=1$ supersymmetric three-branes, first in flat superspace and then to generalize them to $N=1$ supergravitation. In this paper, for simplicity, we begin the process, not within the context of a superstring vacuum but, rather, for the conformal Galileons arising on a co-dimension one brane embedded in a maximally symmetric $Ad{S}_5$ bulk space. We proceed to $N=1$ supersymmetrize the associated worldvolume theory and then generalize the results to $N=1$ supergravity, opening the door to possible new cosmological scenarios.

arXiv comment39 pages, 1 figure. Version 4: Typos corrected, minor points on notation clarified

References in corpus (39)

• 4D Gravity on a Brane in 5D Minkowski Space
• The galileon as a local modification of gravity
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Covariant Galileon
• The Universe as a Domain Wall
• From Big Crunch to Big Bang
• Towards a Nonsingular Bouncing Cosmology
• Heterotic M-theory in Five Dimensions
• Bouncing Cosmologies: Progress and Problems
• New Ekpyrotic Cosmology
• Galilean Genesis: an alternative to inflation
• G-Bounce
• On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory
• A smooth bouncing cosmology with scale invariant spectrum
• $\pi \pi$ Scattering in Three Flavour ChPT
• The Exact MSSM Spectrum from String Theory
• Symmetries for Galileons and DBI scalars on curved space
• A Cosmological Super-Bounce
• Classically stable non-singular cosmological bounces
• Fully stable cosmological solutions with a non-singular classical bounce
• Cosmological Perturbations Through a Non-Singular Ghost-Condensate/Galileon Bounce
• General Embedded Brane Effective Field Theories
• The Matter Bounce Alternative to Inflationary Cosmology
• Non-Singular Bouncing Cosmology: Consistency of the Effective Description
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• DBI Genesis: An Improved Violation of the Null Energy Condition
• Vector Bundle Moduli Superpotentials in Heterotic Superstrings and M-Theory
• Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N=1 Supergravity
• Non-Perturbative Superpotentials from Membrane Instantons in Heterotic M-Theory
• Curvature Corrections to Dynamics of Domain Walls
• Supergravity for Effective Theories
• The dynamics of curved gravitating walls
• Non-linear Representations of the Conformal Group and Mapping of Galileons
• A Five-brane Modulus in the Effective N=1 Supergravity of M-Theory
• On Ghost-free Supersymmetric Galileons
• A New Class of Four-Dimensional N=1 Supergravity with Non-minimal Derivative Couplings
• Kinky Brane Worlds
• Heterotic M-Theory Vacua with Five-Branes
• Heterotic Kink Solitons and their Worldvolume Action

Cited by in corpus (3)

• An Algebraic Classification of Exceptional EFTs Part II: Supersymmetry
• Fermionic Shift Symmetries in (Anti) de Sitter Space
• $N=1$ Supergravitational Heterotic Galileons