A 10d view on the KKLT AdS vacuum and uplifting
A 10d view on the KKLT AdS vacuum and uplifting
We analyse the ten-dimensional Einstein equations in the KKLT setting. We verify that the quartic gaugino term is needed to remove singularities in the on-shell action as suggested by Hamada et al. We contrast two approaches that have been taken in the literature when employing the effect of gaugino condensation in the ten-dimensional equations of motion. Here we follow the proposal to insert explicit non-zero fermion bilinar vev into the localised energy-momentum tensor of the 7-branes obtained from varying the 10d off-shell action with respect to the 10d metric. Our procedure is common in semi-classical physics and is manifestly local in 10d. However, it does not lead to the KKLT effective field theory. The alternative procedure of deriving the energy momentum tensor after replacing fermion bilinears by the gaugino vev, might be less well motivated in 10d, but reproduces the results of the KKLT effective field theory.
Gautason, Fridrik Freyr
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Van Hemelryck, Vincent
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Van Riet, Thomas
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Venken, Gerben
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10 June 2020
Gautason, Fridrik Freyr
0c48d448-e092-48bf-a310-45862bd6fc5f
Van Hemelryck, Vincent
ef7c4e4e-6def-4616-99ee-2df7bbc1b8d6
Van Riet, Thomas
f82c77a1-9588-4814-b5eb-725d5dd77d58
Venken, Gerben
5147b61b-5125-4230-87ec-ecbaca2911e2
Gautason, Fridrik Freyr, Van Hemelryck, Vincent, Van Riet, Thomas and Venken, Gerben
(2020)
A 10d view on the KKLT AdS vacuum and uplifting.
JHEP.
(doi:10.1007/JHEP06(2020)074).
Abstract
We analyse the ten-dimensional Einstein equations in the KKLT setting. We verify that the quartic gaugino term is needed to remove singularities in the on-shell action as suggested by Hamada et al. We contrast two approaches that have been taken in the literature when employing the effect of gaugino condensation in the ten-dimensional equations of motion. Here we follow the proposal to insert explicit non-zero fermion bilinar vev into the localised energy-momentum tensor of the 7-branes obtained from varying the 10d off-shell action with respect to the 10d metric. Our procedure is common in semi-classical physics and is manifestly local in 10d. However, it does not lead to the KKLT effective field theory. The alternative procedure of deriving the energy momentum tensor after replacing fermion bilinears by the gaugino vev, might be less well motivated in 10d, but reproduces the results of the KKLT effective field theory.
Text
JHEP06(2020)074
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Accepted/In Press date: 24 May 2020
Published date: 10 June 2020
Identifiers
Local EPrints ID: 497164
URI: http://eprints.soton.ac.uk/id/eprint/497164
ISSN: 1126-6708
PURE UUID: 3d74cee9-efff-4485-8b67-7c6b734c837b
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Date deposited: 15 Jan 2025 17:39
Last modified: 22 Aug 2025 02:43
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Author:
Fridrik Freyr Gautason
Author:
Vincent Van Hemelryck
Author:
Thomas Van Riet
Author:
Gerben Venken
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