Orientifolds and twisted boundary conditions

Abstract

It is argued that the T-dual of a crosscap is a combination of an O+ and an O- orientifold plane. Various theories with crosscaps and D-branes are interpreted as gauge-theories on tori obeying twisted boundary conditions. Their duals live on orientifolds where the various orientifold planes are of different types. We derive how to read off the holonomies from the positions of D-branes in the orientifold background. As an application we reconstruct some results from a paper by Borel, Friedman and Morgan for gauge theories with classical groups, compactified on a 2-- or 3--torus with twisted boundary conditions.

23 pages, LaTeX, 2 eps figures; minor corrections, references added

References in corpus (5)

• D-Branes And K-Theory
• SO(32) Spinors of Type I and Other Solitons on Brane-Antibrane Pair
• Isolated vacua in supersymmetric Yang-Mills theories
• Non-trivial flat connections on the 3-torus I: G_2 and the orthogonal groups
• Non-trivial flat connections on the 3-torus II: The exceptional groups F_4 and E_6,7,8

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• Low-energy spectrum of N = 4 super-Yang-Mills on T^3: flat connections, bound states at threshold, and S-duality
• Compactifications of 5d SCFTs with a twist
• Bound states in N = 4 SYM on T^3: Spin(2n) and the exceptional groups
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Elliptic genera of pure gauge theories in two dimensions with semisimple non-simply-connected gauge groups
• Discrete moduli for Type I compactifications
• T-duality For Orientifolds and Twisted KR-theory
• 6d/5d exceptional gauge theories from web diagrams
• S-foldings of 5d SCFTs
• Classical Yang-Mills Vacua on $T^3$ : Explicit Constructions
• Twisting E8 Five-Branes
• Zero-energy states of N = 4 SYM on T^3: S-duality and the mapping class group