Superconformal Symmetry, Supergravity and Cosmology

Abstract

We introduce the general N=1 gauge theory superconformally coupled to supergravity. The theory has local SU(2,2|1) symmetry and no dimensional parameters. The superconformal origin of the Fayet-Iliopoulos terms is clarified. The phase of this theory with spontaneously broken conformal symmetry gives various formulations of N=1 supergravity interacting with matter, depending on the choice of the R-symmetry fixing. We have found that the locally superconformal theory is useful for describing the physics of the early universe with a conformally flat FRW metric. Few applications of superconformal theory to cosmology include the study of i) particle production after inflation, particularly the non-conformal helicity 1/2 states of gravitino, ii) the super-Higgs effect in cosmology and the derivation of the equations for the gravitino interacting with any number of chiral and vector multiplets in the gravitational background with varying scalar fields, iii) the weak coupling limit of supergravity and gravitino-goldstino equivalence. This explains why gravitino production in the early universe is not suppressed in the limit of weak gravitational coupling. We discuss the possible existence of an unbroken phase of the superconformal theories, interpreted as a strong coupling limit of supergravity.

81 pages, 4 figures, using epsf; v2: changing sentence with reference on page 3, formatting changes, and rephrasing a few sentences; v3: correcting small mistakes in an example in section 4.2 and some typos

References in corpus (10)

• Gravitino Production After Inflation
• Thermal and Non-Thermal Production of Gravitinos in the Early Universe
• Non-Thermal Production of Dangerous Relics in the Early Universe
• Superconformal Hypermultiplets
• Production of spin 3/2 particles from vacuum fluctuations
• Late-time creation of gravitinos from the vacuum
• The equivalence theorem and the production of gravitinos after inflation
• Gravitational production of gravitinos
• The gravitino abundance in supersymmetric `new' inflation models
• The abundance of moduli, modulini and gravitinos produced by the vacuum fluctuation

Cited by in corpus (136)

• Inflation Dynamics and Reheating
• Universality Class in Conformal Inflation
• Aspects of Split Supersymmetry
• Reheating in Inflationary Cosmology: Theory and Applications
• Particle physics models of inflation and curvaton scenarios
• Superconformal generalizations of the Starobinsky model
• Superconformal Symmetry, NMSSM, and Inflation
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Cosmology with Nilpotent Superfields
• Cosmology With Negative Potentials
• Non-minimal Inflationary Attractors
• Equation of state and Beginning of Thermalization After Preheating
• Relic Gravity Waves from Braneworld Inflation
• Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity
• Gaugino Condensates and D-terms from D7-branes
• Jordan Frame Supergravity and Inflation in NMSSM
• Steep inflation: ending braneworld inflation by gravitational particle production
• Multi-field Conformal Cosmological Attractors
• Gravitino Overproduction in Inflaton Decay
• From ten to four and back again: how to generalize the geometry
• The Non-BPS Black Hole Attractor Equation
• Production of Purely Gravitational Dark Matter: The Case of Fermion and Vector Boson
• Inflaton Decay in Supergravity
• O'KKLT
• The Gravitino-Overproduction Problem in Inflationary Universe
• D3/D7 Brane Inflation and Semilocal Strings
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Superconformal Generalization of the Chaotic Inflation Model λϕ^4/4 - ξ/ 2 ϕ^2 R
• Modulated fluctuations from hybrid inflation
• Pure de Sitter Supergravity
• D-term strings
• Primordial nucleosynthesis and hadronic decay of a massive particle with a relatively short lifetime
• Nonthermal production of gravitinos and inflatinos
• Comments on the Fayet-Iliopoulos Term in Field Theory and Supergravity
• Modifying the Sum Over Topological Sectors and Constraints on Supergravity
• Chaotic inflation in Jordan frame supergravity
• Natural Chaotic Inflation in Supergravity and Leptogenesis
• PBH dark matter from axion inflation
• Post-Inflationary Gravitino Production Revisited
• Inflationary preheating and primordial black holes
• Component action of nilpotent multiplet coupled to matter in 4 dimensional $\mathcal{N}=1$ supergravity
• On moduli and effective theory of N=1 warped flux compactifications
• Chaotic Inflation in Supergravity after Planck and BICEP2
• On the Inconsistency of Fayet-Iliopoulos Terms in Supergravity Theories
• Imperfect fluid description of modified gravities
• Superfield Approach to 5D Conformal SUGRA and the Radion
• Supersymmetric Thermalization and Quasi-Thermal Universe: Consequences for Gravitinos and Leptogenesis
• Description of Supernova Data in Conformal Cosmology without Cosmological Constant
• Cosmology with orthogonal nilpotent superfields
• From weak-scale observables to leptogenesis
• Warping the Kähler potential of F-theory/IIB flux compactifications
• Supersymmetry and Stability of Flux Vacua
• Inflation, de Sitter Landscape and Super-Higgs effect
• Inflatino-less Cosmology
• De Sitter Supergravity Model Building
• Reheating in supersymmetric high scale inflation
• Symplectic structure of N=1 supergravity with anomalies and Chern-Simons terms
• Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity
• Anti-D3 branes and moduli in non-linear supergravity
• Catastrophic Production of Slow Gravitinos
• The goldstone and goldstino of supersymmetric inflation
• Three-form multiplet and Inflation
• The Inflatino Problem in Supergravity Inflationary Models
• Gravitino Problem in Minimal Supergravity Inflation
• Matter-coupled de Sitter Supergravity
• Is nonperturbative inflatino production during preheating a real threat to cosmology?
• 4D Superfield Reduction of 5D Orbifold SUGRA and Heterotic M-theory
• D-term chaotic inflation in supergravity
• Loops, Local Corrections and Warping in the LVS and other Type IIB Models
• Conformal inflation in the metric-affine geometry
• The N=1 Low-Energy Effective Action of Spontaneously Broken N=2 Supergravities
• Linear Versus Non-linear Supersymmetry, in General
• D-term inflation in non-minimal supergravity
• Domain walls from ten dimensions
• Slow and Safe Gravitinos
• Bayesian evidence for $\alpha$-attractor dark energy models
• Nonthermal Gravitino Production after Large Field Inflation
• Primordial black holes and induced gravitational waves from double-pole inflation
• Gravitino production from reheating in split supersymmetry
• Moduli from Cosmic Strings
• Superconformal D-Term Inflation
• D-term cosmic strings from N=2 Supergravity
• Electric/magnetic duality for chiral gauge theories with anomaly cancellation
• Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
• Mass Formulae for Broken Supersymmetry in Curved Space-Time
• Hidden Superconformal Symmetry of the Cosmological Evolution
• Metastable SUSY Breaking and Supergravity at Finite Temperature
• Salvage of Too Slow Gravitinos
• Supergravity with Fayet-Iliopoulos terms and R-symmetry
• Minimal Supergravity Inflation without Slow Gravitino
• The Slow Gravitino
• Cosmological Production of Vector Bosons and Cosmic Microwave Background Radiation
• An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon
• Leptogenesis and rescattering in supersymmetric models
• Completely Dark Matter from Rapid-Turn Multifield Inflation
• New D-term chaotic inflation in supergravity and leptogenesis
• Constrained superfields from inflation to reheating
• Warped generalized geometry compactifications, effective theories and non-perturbative effects
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• Quantization of the massive gravitino on FRW spacetimes
• Abelian tensor hierarchy in 4D $\mathcal{N}=1$ conformal supergravity
• Massive fermion production in nonsingular superstring cosmology
• Supergravity Inflation Free from Harmful Relics
• The Inflationary Energy Scale in Braneworld Cosmology
• Illustrating SUSY breaking effects on various inflation mechanisms
• Non-perturbative over-production of axion-like-particles (ALPs) via derivative interaction
• The Super-Higgs Mechanism in Fluids
• Non-supersymmetric branes
• Gravitino Problem in Inflation Driven by Inflaton-Polonyi Kähler Coupling
• Plateau Inflation in SUGRA-MSSM
• A No-Go Theorem for the Consistent Quantization of Spin 3/2 Fields on General Curved Spacetimes
• Mass Production of Type IIA dS Vacua
• Cosmic inflation from broken conformal symmetry
• Bose Einstein condensation at reheating
• Quasilocal mass in scalar-tensor gravity: spherical symmetry
• Interplay between the muon $g-2$ anomaly and the PTA nHZ gravitational waves from domain walls in next-to minimal supersymmetric standard model
• Abelian tensor hierarchy and Chern-Simons actions in 4D N=1 conformal supergravity
• Mass Production of IIA and IIB dS Vacua
• Supersymmetric hybrid inflation with non-minimal coupling to gravity
• Dark side of Weyl gravity
• A Note on Gravitational Particle Production in Supergravity
• Pole inflation in Jordan frame supergravity
• Superspace Gauge Fixing in Yang-Mills Matter Coupled Conformal Supergravity
• Reviving chaotic inflation with fermion production: a supergravity model
• Heavy Gravitino and Split SUSY in the Light of BICEP2
• Supergravity Contributions to Inflation in models with non-minimal coupling to gravity
• Constrained Superfields in Dynamical Background
• P-term Potentials from 4-D Supergravity
• Effective supergravity descriptions of superstring cosmology
• A New Class of Non-canonical Conformal Attractors for Multifield Inflation
• Inflation and Leptogenesis in a $U(1)$-enhanced supersymmetric model
• Constraining the primordial spectrum of metric perturbations from gravitino and moduli production
• Constraints on the radiation temperature before inflation
• Spin-3/2 Fermions in Twistor Formalism
• On FLRW reductions of N=1 supergravity
• Gravitino production during preheating and the equivalence theorem