physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
abstract duality: opposite category,
concrete duality: dual object, dualizable object, fully dualizable object, dualizing object
between higher geometry/higher algebra
Langlands duality, geometric Langlands duality, quantum geometric Langlands duality
The KLT relations express certain scattering amplitudes in gravity equivalently in terms of scattering amplitudes in Yang-Mills theory.
These relations are manifest in string theory-UV-completions of gravity+Yang-Mills theory, where they were originally found and from which the QFT relations have been deduced: in string theory the graviton is an excitation of the closed string and the gluon of the open string. But disk-shaped string diagram can be read in two-ways: either as a closed-string vacuum diagram or as an open-string tree-level scattering diagram. This open/closed string duality of string scattering amplitudes yields the KLT relations.
Zvi Bern, The KLT relations in field theory, Living Reviews in Relativity
N. E. J. Bjerrum-Bohr, K. Risager, String theory and the KLT-relations between gravity and gauge theory including external matter (arXiv:hep-th/0407085)
Bo Feng, Song He, Rijun Huang, Yin Jia, Note on New KLT relations (arXiv)
Zvi Bern, John Joseph M. Carrasco, Henrik Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory, Phys. Rev. Lett. 105, 061602 – Published 3 August 2010 (arXiv:1004.0476)