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Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure

Mafra, C. R., & Schlotterer, O. (2019). Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure. Journal of High Energy Physics, 2019(8): 92. doi:10.1007/JHEP08(2019)092.

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1812.10971.pdf (Preprint), 542KB
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Mafra-Schlotterer2019_Article_TowardsTheN-pointOne-loopSuper(2).pdf (Publisher version), 2MB
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Creators:
Mafra, Carlos R., Author
Schlotterer, Oliver1, Author
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1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Theory, hep-th
Abstract: In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single valued. A key driving force in this construction is the generalization of a so far unnoticed property at tree-level; the correlators have the symmetry structure akin to {\it Lie polynomials}. One-loop correlators up to seven points are presented in a variety of representations manifesting different subsets of their defining properties. These expressions are related via identities obeyed by the kinematic superfields and worldsheet functions spelled out in the first two parts of this series and reflecting a duality between the two kinds of ingredients. Interestingly, the expression for the eight-point correlator following from our method seems to capture correctly all the dependence on the worldsheet punctures but leaves undetermined the coefficient of the holomorphic Eisenstein series ${\rm G}_4$. By virtue of chiral splitting, closed-string correlators follow from the double copy of the open-string results.

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Dates: 2018-12-282019
Publication Status: Published in print
Pages: 77 pages
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Identifiers: arXiv: 1812.10971
URI: http://arxiv.org/abs/1812.10971
DOI: 10.1007/JHEP08(2019)092
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2019 (8) Sequence Number: 92 Start / End Page: - Identifier: -