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Dynamical Tadpoles, Stringy Cobordism, and the SM from Spontaneous Compactification

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arxiv 2104.02091 v2 pith:S73HTH6L submitted 2021-04-05 hep-th

Ginevra Buratti , Matilda Delgado , Angel M. Uranga This is my paper
classification hep-th
keywords cobordismcompactificationdeltadistancedynamicalfieldsfluxesform
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider string theory vacua with tadpoles for dynamical fields and uncover universal features of the resulting spacetime-dependent solutions. We argue that the solutions can extend only a finite distance $\Delta$ away in the spacetime dimensions over which the fields vary, scaling as $\Delta^n\sim {\cal T}$ with the strength of the tadpole ${\cal T}$. We show that naive singularities arising at this distance scale are physically replaced by ends of spacetime, related to the cobordism defects of the swampland cobordism conjecture and involving stringy ingredients like orientifold planes and branes, or exotic variants thereof. We illustrate these phenomena in large classes of examples, including AdS$_5\times T^{1,1}$ with 3-form fluxes, 10d massive IIA, M-theory on K3, the 10d non-supersymmetric $USp(32)$ strings, and type IIB compactifications with 3-form fluxes and/or magnetized D-branes. We also describe a 6d string model whose tadpole triggers spontaneous compactification to a semirealistic 3-family MSSM-like particle physics model.

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Cited by 5 Pith papers

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