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Matter field Kahler metric in heterotic string theory from localisation
Univ Oxford, Rudolf Peierls Ctr Theoret Phys, 1 Keble Rd, Oxford OX1 3NP, England.
Univ Western Australia, Dept Phys M013, 35 Stirling Highway, Crawley, WA 6009, Australia.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Univ Oxford, Rudolf Peierls Ctr Theoret Phys, 1 Keble Rd, Oxford OX1 3NP, England.
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2018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 4, article id 139Article in journal (Refereed) Published
Abstract [en]

We propose an analytic method to calculate the matter field Kahler metric in heterotic compactifications on smooth Calabi-Yau three-folds with Abelian internal gauge fields. The matter field Kahler metric determines the normalisations of the N = 1 chiral superfields, which enter the computation of the physical Yukawa couplings. We first derive the general formula for this Kahler metric by a dimensional reduction of the relevant supergravity theory and find that its T-moduli dependence can be determined in general. It turns out that, due to large internal gauge flux, the remaining integrals localise around certain points on the compactification manifold and can, hence, be calculated approximately without precise knowledge of the Ricci-flat Calabi-Yau metric. In a final step, we show how this local result can be expressed in terms of the global moduli of the Calabi-Yau manifold. The method is illustrated for the family of Calabi-Yau hypersurfaces embedded in P-1 x P-3 and we obtain an explicit result for the matter field Kahler metric in this case.

Place, publisher, year, edition, pages
2018. no 4, article id 139
Keywords [en]
Flux compactifications, Superstrings and Heterotic Strings
National Category
Subatomic Physics Other Physics Topics Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:uu:diva-355469DOI: 10.1007/JHEP04(2018)139ISI: 000432042300007OAI: oai:DiVA.org:uu-355469DiVA, id: diva2:1229240
Available from: 2018-06-29 Created: 2018-06-29 Last updated: 2018-06-29Bibliographically approved

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