Orientifolds and Mirror Symmetry

Details Orientifolds and Mirror Symmetry Orientifolds and Mirror Symmetry

2003-03-14

arxiv.org/abs/hep-th/0303135v2

JHEP0411:005,2004

Physics

High Energy Physics

High Energy Physics - Theory

137 pages

Scientific paper

10.1088/1126-6708/2004/11/005

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.

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