Bounds on tower mass scales in the presence of throats of different warping

Min-Seok Seo (Department of Physics Education, Korea National University of Education, Cheongju 28173, Republic of Korea)

In Type IIB flux compactification realizing the metastable de Sitter (dS) vacuum, the uplift potential can be generated by D3-branes at the tip of Klebanov-Strassler throat. Then the uplift potential obeys the scaling law with respect to the tower mass scale msc, which can be the Kaluza-Klein (KK) mass scale associated with the throat containing D3-branes or the bulk tower mass scales, depending on the warping of the throat. On the other hand, in the presence of another throat of stronger warping, the KK mass scale associated with this throat is lower than msc. Nevertheless, the Higuchi bound and the condition that the tower mass scale is higher than the gravitino mass provide the upper bound on msc determined by the lowest tower mass scale (or gravitino mass). This bound also can be interpreted as the lower bound on the lowest tower mass scale determined by msc. We investigate this bound in detail when the throat containing D3-branes is strongly and weakly warped, respectively.

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      "title": "Bounds on tower mass scales in the presence of throats of different warping"
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      "value": "In Type IIB flux compactification realizing the metastable de Sitter (dS) vacuum, the uplift potential can be generated by <math><mover><mrow><mrow><mi>D3</mi></mrow></mrow><mo>\u203e</mo></mover></math>-branes at the tip of Klebanov-Strassler throat. Then the uplift potential obeys the scaling law with respect to the tower mass scale <math><msub><mrow><mi>m</mi></mrow><mrow><mi>sc</mi></mrow></msub></math>, which can be the Kaluza-Klein (KK) mass scale associated with the throat containing <math><mover><mrow><mrow><mi>D3</mi></mrow></mrow><mo>\u203e</mo></mover></math>-branes or the bulk tower mass scales, depending on the warping of the throat. On the other hand, in the presence of another throat of stronger warping, the KK mass scale associated with this throat is lower than <math><msub><mrow><mi>m</mi></mrow><mrow><mi>sc</mi></mrow></msub></math>. Nevertheless, the Higuchi bound and the condition that the tower mass scale is higher than the gravitino mass provide the upper bound on <math><msub><mrow><mi>m</mi></mrow><mrow><mi>sc</mi></mrow></msub></math> determined by the lowest tower mass scale (or gravitino mass). This bound also can be interpreted as the lower bound on the lowest tower mass scale determined by <math><msub><mrow><mi>m</mi></mrow><mrow><mi>sc</mi></mrow></msub></math>. We investigate this bound in detail when the throat containing <math><mover><mrow><mrow><mi>D3</mi></mrow></mrow><mo>\u203e</mo></mover></math>-branes is strongly and weakly warped, respectively."
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Published on:
01 December 2023
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 848 C (2023)

Article ID: 138372
DOI:
https://doi.org/10.1016/j.physletb.2023.138372
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: