2018/06/30 by Henrik Johansson, Gustav Mogull, Fei Teng · 1 citation
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Conformal gravity #Conformal map #Coupling (piping) #Lagrangian #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep09(2018)080
32 pages, plus appendices and references; v2 minor changes
openalex publication_date 2018/09/01 · arxiv created 2018/09/20 · arxiv updated 2018/10/17 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
A bstract Conformal supergravity amplitudes are obtained from the double-copy construction using gauge-theory amplitudes, and compared to direct calculations starting from conformal supergravity Lagrangians. We consider several different theories: minimal N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> conformal supergravity, non-minimal N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> Berkovits-Witten conformal supergravity, mass-deformed versions of these theories, as well as supersymmetry truncations thereof. Coupling the theories to a Yang-Mills sector is also considered. For all cases we give the gravity Lagrangians that the double copy implicitly generates. The two main results are: we determine a Lagrangian for the non-minimal Berkovits-Witten theory, and we uncover the double-copy prescription for the minimal N=4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> conformal supergravity.