Orientifolds and Mirror Symmetry

Abstract

We study parity symmetries and crosscap states in classes of N=2 supersymmetric quantum field theories in 1+1 dimensions, including non-linear sigma models, gauged WZW models, Landau-Ginzburg models, and linear sigma models. The parity anomaly and its cancellation play important roles in many of them. The case of the N=2 minimal model are studied in complete detail, from all three realizations -- gauged WZW model, abstract RCFT, and LG models. We also identify mirror pairs of orientifolds, extending the correspondence between symplectic geometry and algebraic geometry by including unorientable worldsheets. Through the analysis in various models and comparison in the overlapping regimes, we obtain a global picture of orientifolds and D-branes.

137 pages

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• Open Strings
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Cited by in corpus (57)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux compactifications in string theory: a comprehensive review
• The effective action of Type IIA Calabi-Yau orientifolds
• D-brane Deconstructions in IIB Orientifolds
• New Aspects of Heterotic--F Theory Duality
• de Sitter String Vacua from Kahler Uplifting
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• D-terms and F-terms from D7-brane fluxes
• G-flux in F-theory and algebraic cycles
• Explicit de Sitter Flux Vacua for Global String Models with Chiral Matter
• Moduli Stabilization in Type IIB Orientifolds (II)
• Orientifolds of Gepner Models
• An Open String Landscape
• RR photons
• Magnetized E3-brane instantons in F-theory
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• Moduli Stabilization in Non-Geometric Backgrounds
• The D5-brane effective action and superpotential in N=1 compactifications
• Landau-Ginzburg Realization of Open String TFT
• Geometric Transitions and Dynamical SUSY Breaking
• The effective action of type II Calabi-Yau orientifolds
• On Instanton Effects in F-theory
• Symmetry-protected Topological Phases, Generalized Laughlin Argument and Orientifolds
• Four-modulus "Swiss Cheese" chiral models
• Permutation branes and linear matrix factorisations
• The N=1 effective actions of D-branes in Type IIA and IIB orientifolds
• Topological Phases Protected By Reflection Symmetry and Cross-cap States
• The effective action of D-branes in Calabi-Yau orientifold compactifications
• A D-Brane Landscape on Calabi-Yau Manifolds
• The Generalized Green-Schwarz Mechanism for Type IIB Orientifolds with D3- and D7-Branes
• Non-perturbative orientifold transitions at the conifold
• Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape
• No-scale supersymmetry breaking vacua and soft terms with torsion
• Exact Partition Functions on RP2 and Orientifolds
• Metastable Quivers in String Compactifications
• Non-Supersymmetric Seiberg Duality, Orientifold QCD and Non-Critical Strings
• Tree-Level Stability Without Spacetime Fermions: Novel Examples in String Theory
• Model building with intersecting D6-branes on smooth Calabi-Yau manifolds
• D-brane Categories for Orientifolds -- The Landau-Ginzburg Case
• D7-Brane Moduli vs. F-Theory Cycles in Elliptically Fibred Threefolds
• Geometric Transitions on non-Kaehler Manifolds
• On ${\alpha }^{\prime }$-effects from $D$-branes in $4d\mathcal{N}=1$
• Type IIA orientifold compactification on SU(2)-structure manifolds
• Group dualities, T-dualities, and twisted K-theory
• On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential
• Bulk perturbations of N=2 branes
• Holomorphic Couplings In Non-Perturbative String Compactifications
• Tadpole conjecture in non-geometric backgrounds
• Instantons and Wormholes in N=2 supergravity
• Orientiholes
• Twistor Strings with Flavour
• Decoupling A and B model in open string theory -- Topological adventures in the world of tadpoles
• Permutation Orientifolds of Gepner Models
• Boundary Weyl anomaly of $\mathcal{N}=(2,2)$ superconformal models
• Permutation Orientifolds
• Orientifolds in N=2 Liouville Theory and its Mirror
• Towards Mirror Symmetry with Semi-Realistic Intersecting Brane Configurations