BCJ and KK Relations from BRST Symmetry and Supergravity Amplitudes

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..

Harvmac, 15pp

References in corpus (5)

• Minimal Basis for Gauge Theory Amplitudes
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• On Primary Relations at Tree-level in String Theory and Field Theory
• On Supergravity Amplitudes from Pure Spinor Strings

Cited by in corpus (2)

• Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality
• Off-shell Currents and Color-Kinematics Duality