Remarks on scale separation in flux vacua
Remarks on scale separation in flux vacua
We argue that the Maldacena-Nuñez no-go theorem excluding Minkowski and de Sitter vacua in flux compactifications can be extended to anti-de Sitter (AdS) vacua for which the Kaluza-Klein scale is parametrically smaller than the AdS length scale. In the absence of negative tension sources, scale-separated AdS vacua are ruled out in 11-dimensional supergravity; in 10-dimensional supergravity, we show that such vacua can only arise in conjunction with large dilaton gradients. As a practical application of this observation we demonstrate that the mechanism to resolve O6 singularities in massive type IIA at the classical level is likely not to occur in AdS compactifications with scale separation. We furthermore remark that a compactification to four observable dimensions implies a large cosmological hierarchy.
Gautason, F.F.
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Schillo, M.
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Van Riet, T.
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Williams, M.
ac746a41-2e4b-4ef6-bfe7-773b86564bdf
10 March 2016
Gautason, F.F.
0c48d448-e092-48bf-a310-45862bd6fc5f
Schillo, M.
ef8290b3-15ba-419b-ba85-3600d49b2b97
Van Riet, T.
f82c77a1-9588-4814-b5eb-725d5dd77d58
Williams, M.
ac746a41-2e4b-4ef6-bfe7-773b86564bdf
Gautason, F.F., Schillo, M., Van Riet, T. and Williams, M.
(2016)
Remarks on scale separation in flux vacua.
JHEP, 2016, [61].
(doi:10.1007/JHEP03(2016)061).
Abstract
We argue that the Maldacena-Nuñez no-go theorem excluding Minkowski and de Sitter vacua in flux compactifications can be extended to anti-de Sitter (AdS) vacua for which the Kaluza-Klein scale is parametrically smaller than the AdS length scale. In the absence of negative tension sources, scale-separated AdS vacua are ruled out in 11-dimensional supergravity; in 10-dimensional supergravity, we show that such vacua can only arise in conjunction with large dilaton gradients. As a practical application of this observation we demonstrate that the mechanism to resolve O6 singularities in massive type IIA at the classical level is likely not to occur in AdS compactifications with scale separation. We furthermore remark that a compactification to four observable dimensions implies a large cosmological hierarchy.
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JHEP03(2016)061
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Accepted/In Press date: 24 February 2016
Published date: 10 March 2016
Identifiers
Local EPrints ID: 497323
URI: http://eprints.soton.ac.uk/id/eprint/497323
ISSN: 1126-6708
PURE UUID: 98ac0e1a-225d-4406-9de7-8c0ee0e8c10d
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Date deposited: 20 Jan 2025 17:32
Last modified: 22 Aug 2025 02:43
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Author:
F.F. Gautason
Author:
M. Schillo
Author:
T. Van Riet
Author:
M. Williams
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