Calabi-Yau manifolds and SU(3) structure

Lukas, Andre (author): Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Parks Rd, Oxford OX1 3PU, England

Ruehle, Fabian (author): Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Parks Rd, Oxford OX1 3PU, England

(creator_code:org_t)

SPRINGER, 2019
2019
English.
In: Journal of High Energy Physics (JHEP). - : SPRINGER. - 1126-6708 .- 1029-8479. ; :1

Related links:: https://doi.org/10.1...; show more...; https://uu.diva-port... (primary) (Raw object); https://urn.kb.se/re...; https://doi.org/10.1...; show less...

Abstract Subject headings

We show that non-trivial SU(3) structures can be constructed on large classes of Calabi-Yau three-folds. Specifically, we focus on Calabi-Yau three-folds constructed as complete intersections in products of projective spaces, although we expect similar methods to apply to other constructions and also to Calabi-Yau four-folds. Among the wide range of possible SU(3) structures we find Strominger-Hull systems, suitable for heterotic or type II string compactifications, on all complete intersection Calabi-Yau manifolds. These SU(3) structures of Strominger-Hull type have a non-vanishing and non-closed three-form flux which needs to be supported by source terms in the associated Bianchi identity. We discuss the possibility of finding such source terms and present first steps towards their explicit construction. Provided suitable sources exist, our methods lead to Calabi-Yau compactifications of string theory with a non Ricci-flat, physical metric which can be written down explicitly and in analytic form.

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Physical Science ...; and Subatomic Physic ...

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