Duality and Orbifolds

Abstract

We construct several examples where duality transformation commutes with the orbifolding procedure even when the orbifolding group does not act freely, and there are massless states from the twisted sector at a generic point in the moduli space. Often the matching of spectrum in the dual theories is a result of non-trivial identities satisfied by the coefficients of one loop tadpoles in the heterotic, type II and type I string theories.

LaTeX file, 19 pages, a new example and references added

References in corpus (1)

• Heterotic and Type I String Dynamics from Eleven Dimensions

Cited by in corpus (63)

• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• F-theory and Orientifolds
• Supersymmetric World-volume Action for Non-BPS D-branes
• Constraints on Low-Dimensional String Compactifications
• On Orientifolds, Discrete Torsion, Branes and M Theory
• Gravitational Couplings and $Z_2$ Orientifolds
• Gravitational Duality, Branes and Charges
• Strong/Weak Coupling Duality Relations for Non-Supersymmetric String Theories
• D_n Quivers From Branes
• More on 5d descriptions of 6d SCFTs
• Brane Surgery
• Dualities and 5-brane webs for 5d rank 2 SCFTs
• Orbifold and Orientifold Compactifications of F-Theory and M-Theory to Six and Four Dimensions
• Lectures on Orientifolds and Duality
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Magnetic Quivers from Brane Webs with O5 Planes
• On Mirror Symmetry for Manifolds of Exceptional Holonomy
• String theory dualities from M theory
• Comments on Non-Supersymmetric Orientifolds at Strong Coupling
• Rank-3 antisymmetric matter on 5-brane webs
• New M-theory Backgrounds with Frozen Moduli
• Gauge Symmetry and Localized Gravity in M Theory
• Strings on Orbifold Lines
• D-strings in unconventional type I vacuum configurations
• On Condensation of Closed-string Tachyons
• Conifolds with Discrete Torsion and Noncommutativity
• Quiver origami: discrete gauging and folding
• Minimal flux Minkowski classification
• Orientifolds, RG Flows, and Closed String Tachyons
• Unification of M- and F- Theory Calabi-Yau Fourfold Vacua
• Semi-Flatland
• Unification of String Dualities
• Dirichlet Joyce Manifolds, Discrete Torsion and Duality
• Brane Descent Relations in K-theory
• Non-BPS D-branes and enhanced symmetry in an asymmetric orbifold
• Vertex Algebras at the Corner
• Strings on Eight-Orbifolds
• F-Theory on Spin(7) Manifolds: Weak-Coupling Limit
• Dualities and flavored indices of M2-brane SCFTs
• A fresh view on string orbifolds
• A variant of K-theory and topological T-duality for Real circle bundles
• E10 Orbifolds
• Refined topological vertex with ON-planes
• Stepwise Projection: Toward Brane Setups for Generic Orbifold Singularities
• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• O-folds: Orientifolds and Orbifolds in Exceptional Field Theory
• Twisted Masses and Enhanced Symmetries: the A&D Series
• BPS Algebras in 2D String Theory
• D1/D5 systems in $\mathcal{N}=4$ string theories
• D-brane Spectrum and K-theory Constraints of D=4, N=1 Orientifolds
• D-Branes and Twelve Dimensions
• New Type II String Theories with Sixteen Supercharges
• 2d orbifolds with exotic supersymmetry
• An Orbifold and an Orientifold of Type IIB Theory on K3 $\times$ K3
• Brane mapping under $(-1{)}^{F_L}$
• M theory, Joyce Orbifolds and Super Yang-Mills
• Non-BPS D-brane Solutions in Six Dimensional Orbifolds
• K-theoretic matching of brane charges in S- and U-duality
• Orbifolds of M-Theory and Type II String Theories in Two Dimensions
• Umbral Moonshine and String Duality
• Central charges, elliptic genera, and Bekenstein-Hawking entropy in $\mathcal{N}=(2,2)$ AdS${}_3$/CFT${}_2$
• Neveu-Schwarz Five-Branes at Orbifold Singularities and Holography
• Open Strings and Heterotic Instantons