The Momentum Kernel of Gauge and Gravity Theories

Abstract

We derive an explicit formula for factorizing an $n$-point closed string amplitude into open string amplitudes. Our results are phrased in terms of a momentum kernel which in the limit of infinite string tension reduces to the corresponding field theory kernel. The same momentum kernel encodes the monodromy relations which lead to the minimal basis of color-ordered amplitudes in Yang-Mills theory. There are interesting consequences of the momentum kernel pertaining to soft limits of amplitudes. We also comment on surprising links between gravity and certain combinations of kinematic and color factors in gauge theory.

19 pages, 1 figure

References in corpus (7)

• Minimal Basis for Gauge Theory Amplitudes
• Stringy KLT relations, global symmetries, and E_7(7) violation
• New Identities among Gauge Theory Amplitudes
• On-shell Recursion in String Theory
• Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes
• New Relations for Gauge-Theory Amplitudes with Matter
• Note on New KLT relations

Cited by in corpus (4)

• The Kinematic Algebra From the Self-Dual Sector
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• On tree amplitudes with gluons coupled to gravitons
• On KLT and SYM-supergravity relations from 5-point 1-loop amplitudes