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Integer conformal dimensions for type IIa flux vacua

Abstract:
We give a concise argument that supersymmetric anti–de Sitter type IIA DeWolfe-Giryavets-Kachru-Taylor flux vacua on general Calabi-Yau’s have, interpreted holographically, integer conformal dimensions for low-lying scalar primaries in the dual conformal field theory. These integers are independent of any compactification details, such as the background fluxes or triple intersection numbers of the compact manifold. For the Kähler moduli and dilaton, there is one operator with Δ=10 and h1,1− operators with Δ=6, whereas the corresponding axions have Δ=11 and Δ=5. For the complex structure moduli, the h2,1 saxions have Δ=2, and the axions Δ=3. We give a tentative discussion of the origin of these integers and effects that would modify these results.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/physrevd.105.106029

Authors


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Role:
Author
ORCID:
0000-0001-8196-5741
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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Author
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Role:
Author
ORCID:
0000-0002-1887-8351


Publisher:
American Physical Society
Journal:
Physical Review D More from this journal
Volume:
105
Issue:
10
Article number:
106029
Publication date:
2022-05-31
Acceptance date:
2022-05-20
DOI:
EISSN:
2470-0029
ISSN:
2470-0010


Language:
English
Keywords:
Pubs id:
1262541
Local pid:
pubs:1262541
Deposit date:
2022-06-08

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