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Coaction and double...
Coaction and double-copy properties of configuration-space integrals at genus zero
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- Britto, Ruth (author)
- Trinity Coll Dublin, Sch Math, Dublin 2, Ireland; Trinity Coll Dublin, Hamilton Math Inst, Dublin 2, Ireland.;Univ Paris Saclay, CEA, Inst Phys Theor, CNRS, F-91191 Gif Sur Yvette, France
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- Mizera, Sebastian (author)
- Inst Adv Study, Einstein Dr, Princeton, NJ 08540 USA
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- Rodriguez, Carlos (author)
- Uppsala universitet,Teoretisk fysik
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- Schlotterer, Oliver (author)
- Uppsala universitet,Teoretisk fysik
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Trinity Coll Dublin, Sch Math, Dublin 2, Ireland; Trinity Coll Dublin, Hamilton Math Inst, Dublin 2, Ireland;Univ Paris Saclay, CEA, Inst Phys Theor, CNRS, F-91191 Gif Sur Yvette, France Inst Adv Study, Einstein Dr, Princeton, NJ 08540 USA (creator_code:org_t)
- Springer Nature, 2021
- 2021
- English.
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In: Journal of High Energy Physics (JHEP). - : Springer Nature. - 1126-6708 .- 1029-8479. ; :5
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Abstract
Subject headings
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- We investigate configuration-space integrals over punctured Riemann spheres from the viewpoint of the motivic Galois coaction and double-copy structures generalizing the Kawai-Lewellen-Tye (KLT) relations in string theory. For this purpose, explicit bases of twisted cycles and cocycles are worked out whose orthonormality simplifies the coaction. We present methods to efficiently perform and organize the expansions of configuration-space integrals in the inverse string tension α′ or the dimensional-regularization parameter ϵ of Feynman integrals. Generating-function techniques open up a new perspective on the coaction of multiple polylogarithms in any number of variables and analytic continuations in the unintegrated punctures. We present a compact recursion for a generalized KLT kernel and discuss its origin from intersection numbers of Stasheff polytopes and its implications for correlation functions of two-dimensional conformal field theories. We find a non-trivial example of correlation functions in (p, 2) minimal models, which can be normalized to become uniformly transcendental in the p → ∞ limit.
Subject headings
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
Keyword
- Scattering Amplitudes
- Bosonic Strings
- Superstrings and Heterotic Strings
- Conformal Field Theory
Publication and Content Type
- ref (subject category)
- art (subject category)
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