Abstract
A low-energy effective theory is said to be in the swampland if it does not have any consistent UV completion inside a theory of quantum gravity. The natural question is if the standard model of particle physics, possibly with some minimal extensions, are in the swampland — we are in trouble if the answer to this question is yes. We discuss this question in view of the recent swampland conjectures. We prove a no-go theorem concerning the modification of the Higgs sector. Moreover, we find that QCD axion is incompatible with the recent swampland conjectures, unless some sophisticated possibilities are considered. We discuss the implications of this result for spontaneous breaking of CP symmetry. We comment on dynamical supersymmetry breaking as well as the issue of multi-valuedness of the potential. We also propose a refinement of the de Sitter swampland conjecture.
Highlights
The natural question is if the standard model of particle physics, possibly with some minimal extensions, are in the swampland — we are in trouble if the answer to this question is yes
We comment on dynamical supersymmetry breaking as well as the issue of multi-valuedness of the potential
We comment on dynamical supersymmetry breaking and multi-valuedness of the potential
Summary
Suppose that we have an effective field theory coupled with Einstein gravity, containing a finite number of scalar fields {φi}. Note that for the scalar fields we have chosen a canonical kinetic term in the Einstein frame If this is not the case a suitable re-parametrization of the fields is needed to bring the Lagrangian into the form of (2.1). In the literature several necessary conditions, for the effective theory to be in the landscape, have been proposed Note that even if the Conjecture 1 in itself does not hold in full generality, our conclusion still applies to some well-understood corners of string/M-theory vacua, as shown in the analysis of [7, 13, 14]. This is one of the reasons why the Conjecture 1 should be taken seriously
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