A 10d view on the KKLT AdS vacuum and uplifting

Fuente: arXiv
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Main Authors: Gautason, F. F., Van Hemelryck, V., Van Riet, T., Venken, V.
Format: Preprint
Published: 2019
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author Gautason, F. F.
Van Hemelryck, V.
Van Riet, T.
Venken, V.
author_facet Gautason, F. F.
Van Hemelryck, V.
Van Riet, T.
Venken, V.
contents 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 on-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.
format Preprint
id arxiv_https___arxiv_org_abs_1902_01415
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle A 10d view on the KKLT AdS vacuum and uplifting
Gautason, F. F.
Van Hemelryck, V.
Van Riet, T.
Venken, V.
High Energy Physics - Theory
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 on-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.
title A 10d view on the KKLT AdS vacuum and uplifting
topic High Energy Physics - Theory
url https://arxiv.org/abs/1902.01415