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Two dialects for KZ...
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Broedel, JohannesHumboldt Univ, Inst Math, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany.;Humboldt Univ, Inst Phys, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany.
(author)
Two dialects for KZB equations : generating one-loop open-string integrals
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SPRINGER,2020
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LIBRIS-ID:oai:DiVA.org:uu-434430
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https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-434430URI
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https://doi.org/10.1007/JHEP12(2020)036DOI
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in refs. [1-3]. We are going to show that both approaches can be traced back to an elliptic system of Knizhnik-Zamolodchikov-Bernard(KZB) type on the twice-punctured torus.We derive an explicit all-multiplicity representation of the elliptic KZB system for a vector of iterated integrals with an extra marked point and explore compatibility conditions for the two sets of algebra generators appearing in the two differential equations.
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Kaderli, AndreHumboldt Univ, Inst Math, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany.;Humboldt Univ, Inst Phys, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany.;Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenbery 1, D-14476 Potsdam, Germany.
(author)
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Schlotterer, OliverUppsala universitet,Teoretisk fysik(Swepub:uu)olisc149
(author)
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Humboldt Univ, Inst Math, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany.;Humboldt Univ, Inst Phys, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany.Humboldt Univ, Inst Math, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany.;Humboldt Univ, Inst Phys, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany.;Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenbery 1, D-14476 Potsdam, Germany.
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In:Journal of High Energy Physics (JHEP): SPRINGER:121126-67081029-8479
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