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

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 ${\Delta }^n\sim \mathcal{T}$ with the strength of the tadpole $\mathcal{T}$. 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.

arXiv comment31 pages + appendix. v2: typos corrected, references added, matches with published version

References in corpus (77)

• Hierarchies from Fluxes in String Compactifications
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Dielectric-Branes
• The String Landscape, Black Holes and Gravity as the Weakest Force
• On the Geometry of the String Landscape and the Swampland
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Strong Coupling Expansion Of Calabi-Yau Compactification
• M Theory, Orientifolds and G-Flux
• Monodromy in the CMB: Gravity Waves and String Inflation
• Symmetries and Strings in Field Theory and Gravity
• The Swampland: Introduction and Review
• Evidence for Heterotic - Type I String Duality
• Distance and de Sitter Conjectures on the Swampland
• Consistency Conditions for Orientifolds and D-Manifolds
• Branes Intersecting at Angles
• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• F-theory and Orientifolds
• Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
• GUTs and Exceptional Branes in F-theory - I
• Three-Family Supersymmetric Standard-like Models from Intersecting Brane Worlds
• Bounds on Slow Roll and the de Sitter Swampland
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Giant Gravitons in Conformal Field Theory
• A Natural Framework for Chaotic Inflation
• Intersecting Brane Worlds
• D=4 Chiral String Compactifications from Intersecting Branes
• Type-I strings on magnetised orbifolds and brane transmutation
• Noncommutative Compactifications of Type I Strings on Tori with Magnetic Background Flux
• AdS and the Swampland
• Brane Dimers and Quiver Gauge Theories
• Brane Supersymmetry Breaking
• On tadpoles and vacuum redefinitions in String Theory
• Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory
• Anomaly Cancellations in the Type I D9-anti-D9 System and the USp(32) String Theory
• Transplanckian axions !?
• Type I Strings with F- and B-Flux
• Building MSSM Flux Vacua
• D-brane probes, RR tadpole cancellation and K-theory charge
• F-term Axion Monodromy Inflation
• Brane Tilings
• Giant Gravitons from Holomorphic Surfaces
• Brane solutions in strings with broken supersymmetry and dilaton tadpoles
• Supersymmetry Breaking, M-Theory and Fluxes
• D7-Brane Chaotic Inflation
• Tachyon-free Non-supersymmetric Type IIB Orientifolds via Brane-Antibrane Systems
• Fractional Branes and Dynamical Supersymmetry Breaking
• Supersymmetric Three-cycles and (Super)symmetry Breaking
• MSSM vacua from Flux Compactifications
• Brane Constructions, Conifolds and M-Theory
• Supersymmetry Breaking from a Calabi-Yau Singularity
• Supergravity S-Branes
• Brane Configurations for Branes at Conifolds
• SUSY Quivers, Intersecting Branes and the Modest Hierarchy Problem
• On Gauge Bosons in the Matrix Model Approach to M Theory
• Supersymmetry breaking at the end of a cascade of Seiberg dualities
• Cobordism Conjecture, Anomalies, and the String Lamppost Principle
• BPS Branes From Baryons
• Dilaton Tadpoles, Warped Geometries and Large Extra Dimensions for Non-Supersymmetric Strings
• Multi-Flux Warped Throats and Cascading Gauge Theories
• Transplanckian Axion Monodromy !?
• On the Swampland Cobordism Conjecture and Non-Abelian Duality Groups
• de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds
• Discrete Symmetries, Weak Coupling Conjecture and Scale Separation in AdS Vacua
• Brane annihilation in non-supersymmetric strings
• Time and space dependent backgrounds from nonsupersymmetric strings
• The Runaway Quiver
• $AdS$ Vacua from Dilaton Tadpoles and Form Fluxes
• Comments on Non-Supersymmetric Orientifolds at Strong Coupling
• Z_N x Z_M orientifolds with and without discrete torsion
• Non-Singular Solutions for S-branes
• E3-brane instantons and baryonic operators for D3-branes on toric singularities
• Supersymmetry Breaking Warped Throats and the Weak Gravity Conjecture
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$

Cited by in corpus (17)

• Dynamical Cobordism of a Domain Wall and its Companion Defect 7-brane
• Dynamical Cobordism Conjecture: Solutions for End-of-the-World Branes
• Emergence of Species Scale Black Hole Horizons
• Dynamical Cobordism and the Beginning of Time: Supercritical Strings and Tachyon Condensation
• Open-Closed Correspondence of K-theory and Cobordism
• Revisiting Dudas-Mourad compactifications
• On the Origin of Species Thermodynamics and the Black Hole - Tower Correspondence
• Small Black Hole Explosions
• Dimensional Reduction of Cobordism and K-theory
• Looking for structure in the cobordism conjecture
• Holographic (Eternal) Inflation
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
• Gravitational Background of Alice-Vortices and R7-Branes
• At the End of the World: Local Dynamical Cobordism
• Heterotic Ouroboros