Holonomies of gauge fields in twistor space 3: Gravity as a square of N=4 theory

2010/08/31 by Yasuhiro Abe · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Gauge theory #Geometry #Gravitation #Graviton #Holonomy #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Quantum #Quantum gravity #Quantum mechanics #Space (punctuation) #Square (algebra) #Twistor space #Twistor theory #gr-qc #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2010.09.012

published in Nuclear Physics B 842(3), 475-500 (Elsevier BV) · 28 pages; v2. some speculative parts removed, published version

openalex publication_date 2010/09/25 · arxiv created 2010/10/04 · arxiv updated 2011/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In a recent paper, we show that an S-matrix functional for graviton amplitudes can be described by an N=8 supersymmetric gravitational holonomy operator in twistor space. In this paper, we obtain an alternative expression for the gravitational holonomy operator such that it can be interpreted as a square of an N=4 holonomy operator for frame fields, by taking a sum of certain shuffles over ordered indices. The new expression leads to amplitudes of not only spin-2 gravitons but also spin-0 massless particles. We discuss that the squared model is favored as a theory of quantum gravity.

Citations

• Multi-leg one-loop gravity amplitudes from gauge theory
• An interpretation of multigraviton amplitudes
• On relations between multi-gluon and multi-graviton scattering
• Generating tree amplitudes in 𝒩 = 4 SYM and 𝒩 = 8 SG
• New relations for gauge-theory amplitudes
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Subleading-color contributions to gluon-gluon scattering in 𝒩 = 4 SYM theory and relations to 𝒩 = 8 supergravity