KKLT and the Swampland Conjectures

Recently, various swampland conjectures have been proposed that every UV complete effective field theory should satisfy. In particular, these deal with the properties of AdS and dS solutions arising in theories of quantum gravity. Mainly summarizing the results of our two previous articles arXiv:1902.07724 and arXiv:1910.10185, we confront the string theory based KKLT scenario with these conjectures and argue that if quantum vacua as in the KKLT construction indeed exist, some of the conjectures receive some $\log$-corrections. Furthermore we point out some new aspects not contained in the aforementioned two papers.