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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
- Article/chapterEnglish2020
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- SPRINGER,2020
- electronicrdacarrier
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- LIBRIS-ID:oai:DiVA.org:uu-434430
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-434430URI
- https://doi.org/10.1007/JHEP12(2020)036DOI
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- Language:English
- Summary in:English
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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.
Subject headings and genre
- NATURVETENSKAP Fysik Subatomär fysik hsv//swe
- NATURAL SCIENCES Physical Sciences Subatomic Physics hsv//eng
- NATURVETENSKAP Fysik Annan fysik hsv//swe
- NATURAL SCIENCES Physical Sciences Other Physics Topics hsv//eng
- Differential and Algebraic Geometry
- Superstrings and Heterotic Strings
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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)
- Schlotterer, OliverUppsala universitet,Teoretisk fysik(Swepub:uu)olisc149 (author)
- 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. (creator_code:org_t)
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- In:Journal of High Energy Physics (JHEP): SPRINGER:121126-67081029-8479
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