BCJ and KK Relations from BRST Symmetry and Supergravity Amplitudes

2011/11/02 by Pietro Antonio Grassi, Grassi, P. A., A. Mezzalira +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.1111.0544

openalex publication_date 2011/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use Pure Spinor string theory to construct suitable kinematical factors which explicitly satisfy the Kleiss-Kuijf (KK) relations. Using the formula conceived by Bern et al. and employed by us for 4- and 5-point amplitudes in a previous work, we are able to compute the 6-point supergravity amplitude from the corresponding SYM building blocks given by Mafra et al.. We derive the KK and Bern-Carrasco-Johansson (BCJ) identities from the BRST invariance and we discuss the relations between Bern et al. building blocks and those of Mafra et al..

Citations

• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• Superstring Scattering Amplitudes with the Pure Spinor Formalism

Related

• On Supergravity Amplitudes from Pure Spinor Strings
• Superstrings in General Backgrounds
• Tree-level 11D supergravity amplitudes from the pure spinor worldline
• Fundamental BCJ Relation in N=4 SYM From The Connected Formulation
• Monodromy and Kawai-Lewellen-Tye Relations for Gravity Amplitudes