Note on new KLT relations

2010/08/31 by Bo Feng, Song He, Rijun Huang +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Algorithm #Black Holes and Theoretical Physics #Combinatorics #Equivalence (formal languages) #Equivalence relation #Mathematics #Permutation (music) #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Recursion (computer science) #hep-th

paper · pdf · doi:10.1007/jhep10(2010)109

published as JHEP 1010:109,2010 · 15 Pages; v2: minor corrections

openalex publication_date 2010/10/01 · arxiv created 2010/11/14 · arxiv updated 2010/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this short note, we present two results about KLT relations discussed in recent several papers. Our first result is the re-derivation of Mason-Skinner MHV amplitude by applying the S_n-3 permutation symmetric KLT relations directly to MHV amplitude. Our second result is the equivalence proof of the newly discovered S_n-2 permutation symmetric KLT relations and the well-known S_n-3 permutation symmetric KLT relations. Although both formulas have been shown to be correct by BCFW recursion relations, our result is the first direct check using the regularized definition of the new formula.

Citations

• Consistency Conditions on the S-Matrix of Massless Particles
• Note on maximally helicity violating amplitudes for gravitons
• Open & Closed vs. Pure Open String Disk Amplitudes
• The tree formula for MHV graviton amplitudes
• Tree Level Recursion Relations In General Relativity
• New relations for gauge-theory amplitudes

Cited by

• Perturbiner methods for effective field theories and the double copy
• A vertex operator algebra construction of the colour-kinematics dual numerator