Bulletin of the American Physical Society
Mid-Atlantic Section 2022 Meeting
Volume 67, Number 20
Friday–Sunday, December 2–4, 2022; University Park, PA, Pennsylvania State University
Session C03: Dark Matter and Cosmology
9:00 AM–10:58 AM,
Saturday, December 3, 2022
Pennsylvania State University
Room: Osmond 105
Chair: Miguel Mostafa, Pennsylvania State University
Abstract: C03.00006 : Deriving amplitude relations with differential operators in Anti-de Sitter embedding space
10:46 AM–10:58 AM
Presenter:
Pranav Diwakar
(Pennsylvania State University)
Authors:
Pranav Diwakar
(Pennsylvania State University)
Aidan Herderschee
(University of Michigan)
Radu Roiban
(Pennsylvania State University)
Fei Teng
(Pennsylvania State University)
We will show that this is indeed the case for the AdS extension of the non-linear sigma model (NLSM). The four and six-point correlators are obtained using Feynman rules derived from the embedding space action. We use a combination of D-function identities to demonstrate that the fundamental BCJ relations hold in AdS-NLSM through six points. Using a similar strategy, we show that the BCJ relations hold through four points for AdS-Yang-Mills (YM). We conclude by discussing a possible procedure for realising the double copy in this language.
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