Note on New KLT relations
arXiv:1008.1626 · doi:10.1007/JHEP10(2010)109
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.
15 Pages; v2: minor corrections
References in corpus (31)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- New Relations for Gauge-Theory Amplitudes
- New Recursion Relations for Tree Amplitudes of Gluons
- Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
- Minimal Basis for Gauge Theory Amplitudes
- A Duality For The S Matrix
- On Tree Amplitudes in Gauge Theory and Gravity
- Perturbative Quantum Gravity and its Relation to Gauge Theory
- Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
- Open & Closed vs. Pure Open String Disk Amplitudes
- Generating Tree Amplitudes in N=4 SYM and N=8 SG
- Consistency Conditions on the S-Matrix of Massless Particles
- Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes
- Taming Tree Amplitudes In General Relativity
- Gravity and Yang-Mills Amplitude Relations
- Tree Level Recursion Relations In General Relativity
- Proof of Gravity and Yang-Mills Amplitude Relations
- Dual Identities inside the Gluon and the Graviton Scattering Amplitudes
- Gravity, Twistors and the MHV Formalism
- The Tree Formula for MHV Graviton Amplitudes
- New Identities among Gauge Theory Amplitudes
- Constructing the Tree-Level Yang-Mills S-Matrix Using Complex Factorization
- BCFW Recursion Relation with Nonzero Boundary Contribution
- Tree-Level Amplitudes in N=8 Supergravity
- Note on graviton MHV amplitudes
- Three Applications of a Bonus Relation for Gravity Amplitudes
- A note on the boundary contribution with bad deformation in gauge theory
- A Note on MHV Amplitudes for Gravitons
- KLT and New Relations for N=8 SUGRA and N=4 SYM
- Comment on the Identities of the Gluon Tree Amplitudes
- Consistency Conditions on S-Matrix of Spin 1 Massless Particles
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- The Momentum Kernel of Gauge and Gravity Theories
- Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
- Generic multiloop methods and application to N=4 super-Yang-Mills
- Perturbiner Methods for Effective Field Theories and the Double Copy
- BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
- An Introduction to On-shell Recursion Relations
- Amplitudes and Ultraviolet Behavior of N=8 Supergravity
- Tree-Level Formalism
- A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator
- Expansion of Einstein-Yang-Mills theory by Differential Operators
- Perturbative expansion of N<8 Supergravity
- On tree amplitudes with gluons coupled to gravitons
- One-loop SYM-supergravity relation for five-point amplitudes
- On KLT and SYM-supergravity relations from 5-point 1-loop amplitudes
- Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
- Applications of Subleading-color Amplitudes in N=4 SYM Theory
- Unusual identities for QCD at tree-level
- Perturbative Gravity and Gauge Theory Relations -- A Review