Aspects of Gravitational Wave/Particle Duality: Bulk Torsion $\leftrightarrow$ Boundary Gravity Correspondence

Abstract

A geometric torsion (GT) underlying a $2$-form in a $(4$$+$$1)$-dimensional $U(1)$ gauge theory is revisited with a renewed perspective for a non-perturbation (NP) gravity in $d$$=$$4$. In the context we provide evidences to a holographic correspondence between a bulk GT and a boundary NP gravity. Interestingly the Killing symmetries in General Relativity (GR) are shown to provide a subtle clue to the quantum gravity. The NP gravity is shown to incorporate a $(B_2$$\wedge$$F_2)$ coupling, sourced by a non-Newtonian potential, to an exact geometry in GR. Remarkably the NP correction is identified as a mass dipole and is shown to be sourced by a propagating GT. A detailed analysis is performed in a bulk GT to show a modification to the precession of perihelion in a boundary NP gravity. The perspective of an electromagnetic (EM) wave in the bulk is investigated to reveal a spin $2$ (mass-less) quantum sourced by an apparent 2-form. A Goldstone scalar is absorbed by the apparent 2-form to describe a massive $2$-form in the coulomb gauge. Alternately a Goldstone scalar together with a local degree of GT and 2-form is argued to govern a composite (mass-less) spin $2$ particle in Lorentz gauge. Both the scenarios, further ensure a graviton in a boundary NP gravity. A qualitative analysis reveals a (non-interacting) graviton underlying a plausible gravitational wave/particle duality in NP gravity.

References in corpus (16)

• The World as a Hologram
• String Theory and Noncommutative Geometry
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• (De)Constructing Dimensions
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• Riemann-Einstein Structure from Volume and Gauge Symmetry
• Gravity as Gauge Theory Squared: A Ghost Story
• Conformal Weyl gravity and perihelion precession
• $BF$ gravity
• Gravitational scalar-tensor theory
• Gravity as BF theory plus potential
• Infrared modified gravity with propagating torsion: instability of torsionfull de Sitter-like solutions
• 4d Gauge Theory and Gravity Generated from 3d Ones at High Energy
• Discrete torsion, de Sitter tunneling vacua and AdS brane: U(1) gauge theory on D4-brane and an effective curvature
• Quantum Kerr tunneling vacua on a $(D\bar{D}{)}_4$-brane: An emergent Kerr black hole in five dimensions
• Pseudo-topological Quasi-local Energy of Torsion Gravity

Cited by in corpus (2)

• Geometric torsion, 4-form, Riemann duals and Quintessence
• Exact Geometries from Boundary Gravity