Journal article icon

Journal article

Matter field Kähler metric in heterotic string theory from localisation

Abstract:
We propose an analytic method to calculate the matter field Kähler metric in heterotic compactifications on smooth Calabi-Yau three-folds with Abelian internal gauge fields. The matter field Kähler 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 Kähler 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 P1 × P3 and we obtain an explicit result for the matter field Kähler metric in this case.
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Publisher copy:
10.1007/JHEP04(2018)139

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Balliol College
Role:
Author
ORCID:
0000-0003-4969-0447


Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2018
Pages:
139
Publication date:
2018-04-26
Acceptance date:
2018-04-20
DOI:
EISSN:
1029-8479
ISSN:
1126-6708


Pubs id:
pubs:858130
UUID:
uuid:b5225aa0-6bf3-442f-86a5-05eea6a800de
Local pid:
pubs:858130
Source identifiers:
858130
Deposit date:
2018-06-19

Terms of use



Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP