Seeking the loop quantum gravity Barbero-Immirzi parameter and field in 4D, N=1 supergravity

S. James Gates, Sergei V. Ketov, Nicolás Yunes

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We embed the loop quantum gravity Barbero-Immirzi parameter and field within an action describing 4D, N=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 nontrivial kinetic term (or Kähler potential), coupled to supergravity.

Original languageEnglish
Article number065003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number6
DOIs
Publication statusPublished - 2 Sep 2009

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supergravity
gravitation
scalars
gravitational constant
string theory
supersymmetry
fermions
vacuum
kinetics
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Seeking the loop quantum gravity Barbero-Immirzi parameter and field in 4D, N=1 supergravity. / Gates, S. James; Ketov, Sergei V.; Yunes, Nicolás.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 80, No. 6, 065003, 02.09.2009.

Research output: Contribution to journalArticle

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