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A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes. (English) Zbl 1437.83012

Summary: Symmetries of Einstein-Yang-Mills (EYM) amplitudes, together with the recursive expansions, induce nontrivial identities for pure Yang-Mills amplitudes. In the previous work [L. Hou and Y.-J. Du, J. High Energy Phys. 2019, No. 5, Paper No. 12, 64 p. (2019; Zbl 1416.83018)], we have already proven that the identities induced from tree level single-trace EYM amplitudes can be precisely expanded in terms of BCJ relations. In this paper, we extend the discussion to those identities induced from all tree level multi-trace EYM amplitudes. Particularly, we establish a refined graphic rule for multi-trace EYM amplitudes and then show that the induced identities can be fully decomposed in terms of BCJ relations.

MSC:

83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
81U20 \(S\)-matrix theory, etc. in quantum theory
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations

Citations:

Zbl 1416.83018
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References:

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