Generalized Green-Schwarz mechanism in F theory

Abstract

We derive the anomaly 8-form of 6-dimensional gauge theories arising in F theory compactifications on elliptic Calabi-Yau threefolds. The result allows to determine the matter content of certain such theories in terms of intersection numbers on the base of elliptic fibration. We also discuss gauge theories on 7-branes with double point singularities on the worldvolume. Applications to Type II compactifications on Hirzebruch surfaces and $P^2$ are outlined.

11 pages, harvmac. Normalization of (tr R^2)^2 term corrected

Cited by in corpus (87)

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• Anomaly polynomial of general 6d SCFTs
• Global aspects of the space of 6D N = 1 supergravities
• Point-like Instantons on K3 Orbifolds
• Matter and singularities
• Anomaly Equations and Intersection Theory
• F-theory fluxes, Chirality and Chern-Simons theories
• Tate's algorithm and F-theory
• F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections
• Geometric Engineering, Mirror Symmetry and 6d (1,0) -> 4d, N=2
• 6D SCFTs and Phases of 5D Theories
• Physics of F-theory compactifications without section
• Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
• Charge Lattices and Consistency of 6D Supergravity
• Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
• Mapping 6D N = 1 supergravities to F-theory
• Flavor Structure in F-theory Compactifications
• F-theory and the Classification of Little Strings
• F-Theory, Spinning Black Holes and Multi-string Branches
• Anomaly polynomial of E-string theories
• 2-Group Symmetries of 6d Little String Theories and T-duality
• Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry
• 6D supergravity without tensor multiplets
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Colliding Singularities in F-theory and Phase Transitions
• Anomaly of strings of 6d $\mathcal{N}=(1,0)$ theories
• Quantization of anomaly coefficients in 6D $\mathcal{N}=(1,0)$ supergravity
• General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure
• Calabi-Yau threefolds with large h^{2, 1}
• 6D Fractional Quantum Hall Effect
• The frozen phase of F-theory
• On Exceptional Instanton Strings
• Geometric constraints in dual F-theory and heterotic string compactifications
• Structure in 6D and 4D N=1 supergravity theories from F-theory
• Chiral 2d Theories from N=4 SYM with Varying Coupling
• Anomaly Cancelation in Field Theory and F-theory on a Circle
• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• Non-Higgsable QCD and the Standard Model Spectrum in F-theory
• Remarks on the Green-Schwarz terms of six-dimensional supergravity theories
• A Kaluza-Klein inspired action for chiral p-forms and their anomalies
• The twelve dimensional super (2+2)-brane
• F-theory and the Gimon-Polchinski Orientifold
• The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle
• Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds
• From 6D SCFTs to Dynamic GLSMs
• On elliptic genera of 6d string theories
• SU(3) x SU(2) x U(1) Vacua in F-Theory
• Algebraic Cycles and Local Anomalies in F-Theory
• Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Omega vs. pi, and 6d anomaly cancellation
• Flopping and Slicing: SO(4) and Spin(4)-models
• Exotic matter on singular divisors in F-theory
• Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models
• Abelian F-theory Models with Charge-3 and Charge-4 Matter
• A Modern Point of View on Anomalies
• The Geometry of the SU(2)$\times$ G${}_2$-model
• Towards the MSSM from F-theory
• Green-Schwarz Automorphisms and 6D SCFTs
• The Toric SO(10) F-Theory Landscape
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• The discrete Green-Schwarz mechanism in 6D F-Theory and Elliptic Genera of Non-Critical Strings
• Matter in transition
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• ADE String Chains and Mirror Symmetry
• Weak Mixing Angle and Proton Stability in F-theory GUT
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• Four-dimensional black hole entropy from F-theory
• Charge completeness and the massless charge lattice in F-theory models of supergravity
• General F-theory models with tuned $(\mathrm{SU}(3)\times \mathrm{SU}(2)\times U(1))/{\mathbb{Z}}_6$ symmetry
• Black String Entropy and Fourier-Mukai Transform
• Global tensor-matter transitions in F-theory
• When Rational Sections Become Cyclic: Gauge Enhancement in F-theory via Mordell--Weil Torsion
• Extended Gauge Symmetries in F-theory
• An infinite swampland of U(1) charge spectra in 6D supergravity theories
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• Exact solutions for some N=2 supersymmetric SO(N) gauge theories with vectors and spinors
• The Fate of Discrete 1-Form Symmetries in 6d
• 4d N=1 from 6d D-type N=(1,0)
• Magic square and half-hypermultiplets in F-theory
• Orders of Vanishing and U(1) Charges in F-theory
• Affine characters at negative level and elliptic genera of non-critical strings
• Refined BPS numbers on compact Calabi-Yau threefolds from Wilson loops
• Non-split singularities and conifold transitions in F-theory
• 6d $\mathcal{N}=(1,0)$ anomalies on $S^1$ and F-theory implications