Gaugino condensation and small uplifts in KKLT

Abstract

In the first part of this note we argue that ten dimensional consistency requirements in the form of a certain tadpole cancellation condition can be satisfied by KKLT type vacua of type IIB string theory. We explain that a new term of non-local nature is generated dynamically once supersymmetry is broken and ensures cancellation of the tadpole. It can be interpreted as the stress caused by the restoring force that the stabilization mechanism exerts on the volume modulus. In the second part, we explain that it is surprisingly difficult to engineer sufficiently long warped throats to prevent decompactification which are also small enough in size to fit into the bulk Calabi-Yau (CY). We give arguments that achieving this with reasonable amount of control may not be possible in generic CY compactifications while CYs with very non-generic geometrical properties might evade our conclusion.

Quantum log-corrections to swampland conjectures

“…This has precisely the form (43) so that we can state that non-perturbative contributions to the scalar potential induce the log-corrections in the TCC derived dS swampland conjecture (43). Moreover, we observe that for the three terms in the KKLT potential (15), one gets the parameters c ∈ { 8/3, 2/3} which both satisfy c ≥ 2/3, the value appearing in (43). We consider this connection to the TCC as further evidence for the appearance of log-corrections in the various swampland conjectures.…”

Constraints and horizons for de Sitter with extra dimensions

“…(In more recent literature [26,28], this combination is commonly written as ∆.) There are clear similarities between (29) and (23): in order to have 4-dimensional dS space, the left-hand side of (29) is positive so that the right-hand side must be positive as well, suggesting thatT < 0 is a necessary condition for obtaining dS space.…”

Kähler moduli stabilization from ten dimensions

“…Furthermore, as highlighted in [8,9,[18][19][20][21][22], any attempt to uplift the cosmological constant via the inclusion of some localized objects (such as anti-D3 branes) is highly dependent on the details of the gaugino condensation. Now that we understand (albeit by patches) the features of the 10D solution sourced by D7 branes with a condensate, it would be very interesting to construct a more general 10D geometry (and possibly an effective 4D EFT) where one takes into account also the effects of the anti-D3 branes.…”

“…On the other hand, the AdS background is the seed solution to ultimately obtain de Sitter compactifications, and in this process the NP effects are key in evading classical no-go theorems [16,17]. Recent results revealed that in order to properly address whether the KKLT uplifting mechanism can work or not using a Maldacena-Núñez-like approach, it is crucial to understand what is the effect of NP physics on the geometry [8,9,[18][19][20][21][22].…”