Seeking the Loop Quantum Gravity Barbero-Immirzi Parameter and Field in 4D, = 1 Supergravity
arXiv:0906.4978 · doi:10.1103/PhysRevD.80.065003
Abstract
We embed the Loop Quantum Gravity Barbero-Immirzi parameter and field within an action describing 4D, = 1 supergravity and thus within a Low Energy Effective Action of Superstring/M-Theory. We use the fully gauge-covariant description of supergravity in (curved) superspace. The gravitational constant is replaced with the vacuum expectation value of a scalar field, which in local supersymmetry is promoted to a complex, covariantly chiral scalar superfield. The imaginary part of this superfield couples to a supersymmetric Holst term. The Holst term also serves as a starting point in the Loop Quantum Gravity action. This suggest the possibility of a relation between Loop Quantum Gravity and supersymmetric string theory, where the Barbero-Immirzi parameter and field of the former play the role of the supersymmetric axion in the latter. Adding matter fermions in Loop Quantum Gravity may require the extension of the Holst action through the Nieh-Yan topological invariant, while in pure, matter-free supergravity their supersymmetric extensions are the same. We show that, when the Barbero-Immirzi parameter is promoted to a field in the context of 4D supergravity, it is equivalent to adding a dynamical complex chiral (dilaton-axion) superfield with a non-trivial kinetic term (or Kähler potential), coupled to supergravity.
20 pages, 1 figure. Replaced with accepted version in Phys. Rev. D
References in corpus (30)
- Background Independent Quantum Gravity: A Status Report
- k-Inflation
- Chern-Simons Modification of General Relativity
- Real Ashtekar Variables for Lorentzian Signature Space-times
- Chern-Simons Modified General Relativity
- Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
- Real and complex connections for canonical gravity
- Quantum Gravity, Torsion, Parity Violation and all that
- Physical effects of the Immirzi parameter
- Loop quantum gravity: an outside view
- The Barbero-Immirzi Parameter as a Scalar Field: K-Inflation from Loop Quantum Gravity?
- Fermions in Ashtekar-Barbero Connections Formalism for Arbitrary Values of the Immirzi Parameter
- Can the string scale be related to the cosmic baryon asymmetry?
- Interaction of the Barbero--Immirzi Field with Matter and Pseudo-Scalar Perturbations
- Barbero-Immirzi field in canonical formalism of pure gravity
- Peccei--Quinn mechanism in gravity and the nature of the Barbero--Immirzi parameter
- Geometrodynamics vs. Connection Dynamics
- Supersymmetry on the lattice
- Loop and spin foam quantum gravity: a brief guide for beginners
- From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional
- Lattice super-Yang-Mills using domain wall fermions in the chiral limit
- Chern-Simons Modified Gravity as a Torsion Theory and its Interaction with Fermions
- Supersymmetric Spin Networks and Quantum Supergravity
- Superstring-inspired supergravity as the universal source of inflation and quintessence
- First results from simulations of supersymmetric lattices
- Holst Actions for Supergravity Theories
- Scalar potential in F(R) supergravity
- A possible topological interpretation of the Barbero-Immirzi parameter
- Generalized Lagrangian of N = 1 supergravity and its canonical constraints with the real Ashtekar variable
- General covariance, and supersymmetry without supersymmetry
Cited by in corpus (31)
- Black holes, gravitational waves and fundamental physics: a roadmap
- Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework
- Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
- Post-Newtonian, Quasi-Circular Binary Inspirals in Quadratic Modified Gravity
- Testing gravitational parity violation with coincident gravitational waves and short gamma-ray bursts
- Effective Gravitational Wave Stress-energy Tensor in Alternative Theories of Gravity
- Polarized primordial gravitational waves in the ghost-free parity-violating gravity
- Modified Supergravity and Early Universe: the Meeting Point of Cosmology and High-Energy Physics
- Probing Gravitational Parity Violation with Gravitational Waves from Stellar-mass Black Hole Binaries
- Constraining Parity Violation in Gravity with Measurements of Neutron-Star Moments of Inertia
- Linear Stability Analysis of Dynamical Quadratic Gravity
- Inflation induced by Gravitino Condensation in Supergravity
- Tensor non-Gaussianity in chiral scalar-tensor theories of gravity
- Fourth-order gravity as the inflationary model revisited
- Slow-roll inflation in (R+R*4) gravity
- Chaotic inflation in F(R) supergravity
- Linear Stability Analysis and the Speed of Gravitational Waves in Dynamical Chern-Simons Modified Gravity
- F(R) supergravity
- Testing General Relativity with Black Hole-Pulsar Binaries
- A solution of the strong CP problem via the Peccei-Quinn mechanism through the Nieh-Yan modified gravity and cosmological implications
- Cosmological properties of a generic (\cal R)^2-supergravity
- Super-entropic black hole with Immirzi hair
- Constraining the Barbero-Immirzi parameter from the duration of inflation in loop quantum cosmology
- Barbero-Immirzi parameter, manifold invariants and Euclidean path integrals
- On the supersymmetrization of inflation in f(R) gravity
- On the Role of Space-Time Foam in Breaking Supersymmetry via the Barbero-Immirzi Parameter
- Cosmological constant in F(R) supergravity
- Canonical supergravity with Barbero-Immirzi parameter
- Gauge invariant coupling of fields to torsion: a string inspired model
- Dark Energy in Modified Supergravity
- Breaking parity: the case of the trispectrum from chiral scalar-tensor theories of gravity