String Defects, Supersymmetry and the Swampland

Abstract

Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to unravel the microscopic origin of these constraints. Based on the perturbative data, we conjecture the existence of null charges $Q\cdot Q=0$ for any six-dimensional theory with at least one tensor multiplet, coupling to string defects of charge $Q$. We then include the new constraint to exclude some six-dimensional supersymmetric anomaly-free examples that have currently no string or F-theory realization. We also investigate the constraints from the couplings to string defects in case where supersymmetry is broken in tachyon free vacua, containing non-BPS configurations of brane supersymmetry breaking type, where the breaking is localized on antibranes. In this case, some conditions have naturally to be changed or relaxed whenever the string defects experience supersymmetry breaking, whereas the constraints are still valid if they are geometrically separated from the supersymmetry breaking source.

arXiv comment49 pages. Minor corrections/improvements, one reference added in v2

References in corpus (64)

• Evidence for F-Theory
• On the Geometry of the String Landscape and the Swampland
• The Swampland: Introduction and Review
• Small Instantons in String Theory
• Consistency Conditions for Orientifolds and D-Manifolds
• A Note on the Green - Schwarz Mechanism in Open - String Theories
• I-Brane Inflow and Anomalous Couplings on D-Branes
• Type-I strings on magnetised orbifolds and brane transmutation
• Brane Supersymmetry Breaking
• Monopoles, Duality, and String Theory
• K3 Orientifolds
• Anomaly Cancellations in the Type I D9-anti-D9 System and the USp(32) String Theory
• Comments on Open-String Orbifolds with a Non-Vanishing B_{ab}
• Strings on Orientifolds
• Global aspects of the space of 6D N = 1 supergravities
• Type I vacua with brane supersymmetry breaking
• Brane solutions in strings with broken supersymmetry and dilaton tadpoles
• Tachyon-free Non-supersymmetric Type IIB Orientifolds via Brane-Antibrane Systems
• Anomalous couplings for D-branes and O-planes
• Surprises in Open-String Perturbation Theory
• Towards a Non-Supersymmetric String Phenomenology
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• Theory and Phenomenology of Type I strings and M-theory
• Consistent gravitino couplings in non-supersymmetric strings
• Comments on Gepner Models and Type I Vacua in String Theory
• Charge Lattices and Consistency of 6D Supergravity
• Mapping 6D N = 1 supergravities to F-theory
• Branes and the Swampland
• Non-tachyonic open descendants of the 0B string theory
• Gravitational Couplings of D-branes and O-planes
• Charged and Uncharged D-branes in various String Theories
• Geometric Couplings and Brane Supersymmetry Breaking
• Non-supersymmetric heterotic model building
• Tachyon-free Orientifolds of Type 0B Strings in Various Dimensions
• Global String Embeddings for the Nilpotent Goldstino
• On Classical Stability with Broken Supersymmetry
• Brane induced supersymmetry breaking and de Sitter supergravity
• Dilaton Tadpoles, Warped Geometries and Large Extra Dimensions for Non-Supersymmetric Strings
• An Orientifold from F Theory
• p-Brane Dyons and Electric-magnetic Duality
• Super no-scale models in string theory
• Quantization of anomaly coefficients in 6D $\mathcal{N}=(1,0)$ supergravity
• Asymmetric Orbifolds, Noncommutative Geometry and Type I String Vacua
• The Goldstino Brane, the Constrained Superfields and Matter in N=1 Supergravity
• 8d gauge anomalies and the topological Green-Schwarz mechanism
• Brane annihilation in non-supersymmetric strings
• $AdS$ Vacua from Dilaton Tadpoles and Form Fluxes
• The coupling of Non-linear Supersymmetry to Supergravity
• Swampland Constraints on 5d $\mathcal{N}=1$ Supergravity
• Remarks on the Green-Schwarz terms of six-dimensional supergravity theories
• Discrete torsion in non-geometric orbifolds and their open-string descendants
• Stability, enhanced gauge symmetry and suppressed cosmological constant in 9D heterotic interpolating models
• D-branes in non-tachyonic 0B orientifolds
• Stability and vacuum energy in open string models with broken supersymmetry
• Anomaly Analysis of Brane-Antibrane Systems
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• Generic matter representations in 6D supergravity theories
• Large U(1) charges in F-theory
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• On the stability of open-string orbifold models with broken supersymmetry
• Heterotic-Type I Dual Pairs, Rigid Branes and Broken Susy
• Non-perturbative transitions among intersecting-brane vacua
• Non-supersymmetric branes
• F-theory models with $U(1)\times {\mathbb{Z}}_2,{\mathbb{Z}}_4$ and transitions in discrete gauge groups

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• Cobordism Conjecture, Anomalies, and the String Lamppost Principle
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• New Supersymmetric String Theories from Discrete Theta Angles
• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
• Marginal deformations of heterotic interpolating models and exponential suppression of the cosmological constant
• Charge completeness and the massless charge lattice in F-theory models of supergravity
• Energy-Energy Correlator for jet production in $pp$ and $pA$ collisions
• Flavor Symmetries and Automatic Enhancement in the 6d Supergravity Swampland
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV