Anomalies, Dualities, and Topology of D=6 N=1 Superstring Vacua

Abstract

We consider various aspects of compactifications of the Type I/heterotic $Spin(32)/{\mathbb{Z}}_2$ theory on K3. One family of such compactifications includes the standard embedding of the spin connection in the gauge group, and is on the same moduli space as the compactification of the heterotic $E_8\times E_8$ theory on K3 with instanton numbers (8,16). Another class, which includes an orbifold of the Type I theory recently constructed by Gimon and Polchinski and whose field theory limit involves some topological novelties, is on the moduli space of the heterotic $E_8\times E_8$ theory on K3 with instanton numbers (12,12). These connections between $Spin(32)/{\mathbb{Z}}_2$ and $E_8\times E_8$ models can be demonstrated by T duality, and permit a better understanding of non-perturbative gauge fields in the (12,12) model. In the transformation between $Spin(32)/{\mathbb{Z}}_2$ and $E_8\times E_8$ models, the strong/weak coupling duality of the (12,12) $E_8\times E_8$ model is mapped to T duality in the Type I theory. The gauge and gravitational anomalies in the Type I theory are canceled by an extension of the Green-Schwarz mechanism.

48 pages

References in corpus (7)

• Dirichlet-Branes and Ramond-Ramond Charges
• String Theory Dynamics In Various Dimensions
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Evidence for Heterotic - Type I String Duality
• Small Instantons in String Theory
• Boundary States of D-Branes and Dy-Strings
• Strong/Weak Coupling Duality from the Dual String

Cited by in corpus (146)

• Branes Intersecting at Angles
• The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity
• Light Neutrinos without Heavy Mass Scales: A Higher-Dimensional Seesaw Mechanism
• Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity
• The Dirichlet Super-Three-Brane in Ten-Dimensional Type IIB Supergravity
• String Loop Corrections to Kahler Potentials in Orientifolds
• Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua
• Branes and Six Dimensional Supersymmetric Theories
• Loop Corrections to Volume Moduli and Inflation in String Theory
• Comments on Open-String Orbifolds with a Non-Vanishing B_{ab}
• D-brane probes, RR tadpole cancellation and K-theory charge
• New Phases of String Theory and 6d RG Fixed Points via Branes at Orbifold Singularities
• Point-like Instantons on K3 Orbifolds
• Microscopic Entropy of N=2 Extremal Black Holes
• Tensors from K3 Orientifolds
• Anomaly Equations and Intersection Theory
• Supersymmetric Orientifolds in 6D with D-Branes at Angles
• Gauge couplings in four-dimensional Type I string orbifolds
• 5d quivers and their AdS(6) duals
• The Standard Model on a D-brane
• Supersymmetry breaking, open strings and M-theory
• Consistency Conditions for Branes at Orbifold Singularities
• Branes and the Gauge Hierarchy
• RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities
• Aspects of N=1 Type I-Heterotic Duality in Four Dimensions
• Cobordism Conjecture, Anomalies, and the String Lamppost Principle
• Instanton sums and five-dimensional gauge theories
• Tensor and Vector Multiplets in Six-Dimensional Supergravity
• Type IIB Orientifolds, F-theory, Type I Strings on Orbifolds and Type I - Heterotic Duality
• 6d holographic anomaly match as a continuum limit
• Orientifolds of Non-Supersymmetric Asymmetric Orbifolds
• Branes with GUTs and supersymmetry breaking
• Anomaly polynomial of E-string theories
• Superstring Theory and CP- Violating Phases: Can They Be Related?
• On the One Loop Fayet-Iliopoulos Term in Chiral Four Dimensional Type I Orbifolds
• Point-like Instantons and the Spin(32)/Z2 Heterotic String
• SUSY Breaking and Moduli Stabilization from Fluxes in Gauged 6D Supergravity
• Non-Perturbative Properties of Heterotic String Vacua Compactified on $K3\times T^2$
• Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry
• Anomalies and inflow on D-branes and O-planes
• Resolutions of C^n/Z_n Orbifolds, their U(1) Bundles, and Applications to String Model Building
• 4-D Chiral N=1 Type I Vacua With And Without D5-Branes
• Instanton Induced Open String Superpotentials and Branes at Singularities
• A bound on 6D N=1 supergravities
• Orbifold and Orientifold Compactifications of F-Theory and M-Theory to Six and Four Dimensions
• All Couplings of Minimal Six-dimensional Supergravity
• The Mirror Transform of Type I Vacua in Six Dimensions
• 4D Anomalous U(1)'s, their masses and their relation to 6D anomalies
• Modular Symmetries and the Swampland Conjectures
• The frozen phase of F-theory
• Non-Perturbative Heterotic D=6,4 Orbifold Vacua
• A Note on Superconformal N=2 theories and Orientifolds
• On Four Dimensional N=1 Type I Compactifications
• Update of D3/D7-Brane Inflation on K3 x T^2/Z_2
• String Dualities in the Presence of Anomalous U(1) Symmetries
• Massive U(1)s and Heterotic Five-Branes on K3
• Multiple Realisations of N=1 Vacua in Six Dimensions
• Towards Low Energy Physics from the Heterotic String
• Chirality Change in String Theory
• Scalar Potential and Dyonic Strings in 6D Gauged Supergravity
• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• Exploring the SO(32) Heterotic String
• Sigma-model anomalies in compact type IIB orientifolds and Fayet-Iliopoulos terms
• F-theory and the Gimon-Polchinski Orientifold
• Romans Supergravity from Five-Dimensional Holograms
• Notes on Supersymmetric Gauge Theories in Five and Six Dimensions
• Intersecting Orbifold Planes and Local Anomaly Cancellation in M-Theory
• Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT
• Duality of N=2 Heterotic -- Type I Compactifications in Four Dimensions
• Duality in String Theory
• Classification of chiral fermionic CFTs of central charge $\le 16$
• On the Duality between Perturbative Heterotic Orbifolds and M-Theory on T^4/Z_N
• N=1 Type IIA brane configurations, Chirality and T-duality
• New N=2 superconformal field theories from M/F theory orbifolds
• Stringy instanton corrections to N=2 gauge couplings
• The algebra of anomaly interplay
• A Pati-Salam model from branes
• Anomaly cancellation in D=4, N=1 orientifolds and linear/chiral multiplet duality
• Lectures on Heterotic-Type I Duality
• On the Complementarity of F-theory, Orientifolds, and Heterotic Strings
• New N=1 dualities from orientifold transitions - Part II: String Theory
• Enriques and Octonionic Magic Supergravity Models
• Instantons, Hypermultiplets and the Heterotic String
• Orientifold Limit of F-theory Vacua
• A D-brane inspired U(3)_CxU(3)_LxU(3)_R model
• D=4, N=1 orientifolds with vector structure
• Back to Heterotic Strings on ALE Spaces: Part I -- Instantons, 2-groups and T-duality
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Reconciling Grand Unification with Strings by Anisotropic Compactifications
• Quantum Corrections to Non-Abelian SUSY Theories on Orbifolds
• CPT and Other Symmetries in String/M Theory
• Accidental SUSY: Enhanced Bulk Supersymmetry from Brane Back-reaction
• The fate of the type I non-BPS D7-brane
• The Semispin Groups in String Theory
• Dirichlet Branes on Orientifolds
• Classical and Quantum Aspects of BPS Black Holes in N=2, D=4 Heterotic String Compactifications
• Four-Dimensional N=2 Superstring Constructions and their (Non-) Perturbative Duality Connections
• A New Orientifold of C^2/Z_N and Six-dimensional RG Fixed Points
• Unoriented D-brane Instantons vs Heterotic worldsheet Instantons
• On the stability of open-string orbifold models with broken supersymmetry
• String Vacua with N=2 Supersymmetry in Four Dimensions
• Mirror Symmetry via Deformation of Bundles on K3 Surfaces
• Type I D-branes in an H-flux and twisted KO-theory
• The Higgs branch of Heterotic ALE instantons
• Double-Scaling Limit of Heterotic Bundles and Dynamical Deformation in CFT
• Aspects of Type I - Type II - Heterotic Triality in Four Dimensions
• Freedom and Constraints in the K3 Landscape
• On the Orientifolding of Type II NS-Fivebranes
• New Examples of Flux Vacua
• D=6, N=1 String Vacua and Duality
• Towards a complete classification of 6D supergravities
• 2d $\mathcal{N}=(0,1)$ Gauge Theories and Spin(7) Orientifolds
• Non-critical strings at high energy
• Unification in Intersecting Brane Models
• Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms
• Anomaly cancellation in K3 orientifolds
• Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches of 4d N=2 supersymmetric theories
• BPS states and supersymmetric index in N=2 type I string vacua
• Novel Type I Compactifications
• Heterotic warped Eguchi-Hanson spectra with five-branes and line bundles
• T-Duality in Gauged Linear Sigma-Models with Torsion
• Some Properties of Tensor Multiplets in Six-Dimensional Supergravity
• Intersecting Brane World from Type I Compactification
• String-String triality for d=4, Z_2 orbifolds
• Non-perturbative K3 Orientifolds with NS-NS B-flux
• (Fractional) Intersection Numbers, Tadpoles and Anomalies
• One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators
• Non-Abelian T-duality for open strings
• Type I on (Generalized) Voisin-Borcea Orbifolds and Non-perturbative Orientifolds
• On the (0,4) Conformal Field Theory of the Throat
• Gauge Spinors and String Duality
• Transitions of Orbifold Vacua
• Anomaly Cancelations in Orientifolds with Quantized B Flux
• Anatomy of a Duality
• From Twists and Shifts to L-R asymmetric D-branes
• D=4, N=1, Type IIA Orientifolds
• Neveu-Schwarz Five-Branes at Orbifold Singularities and Holography
• Matrix Description of Heterotic Theory on K3
• SO(8) and G_2 X G_2 N=1 Supergravities in D=6
• Two-point functions of Neumann-Dirichlet open-string sector moduli
• H-Dyons and S-Duality
• String Theory, Large Dimensions and Supersymmetry
• Singular Yukawa and gauge couplings in d=4 Heterotic String Vacua
• Dynamical Tadpoles and Weak Gravity Constraints
• Notes on unoriented D-brane instantons
• Singularities in d=4, N=1 Heterotic String Vacua