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      Supersymmetric Orientifolds in 6D with D-Branes at Angles

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          Abstract

          We study a new class of N=1 supersymmetric orientifolds in six space-time dimensions. The world-sheet parity transformation is combined with a permutation of the internal complex coordinates. In contrast to ordinary orientifolds the twisted sectors contribute to the Klein bottle amplitude leading to new tadpoles to be cancelled by twisted open string sectors. They arise from open strings stretched between D7-branes intersecting at non-trivial angles. We study in detail the Z_3, Z_4 and Z_6 permutational orientifolds obtaining in all cases anomaly free massless spectra.

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          Consistency Conditions for Orientifolds and D-Manifolds

          We study superstrings with orientifold projections and with generalized open string boundary conditions (D-branes). We find two types of consistency condition, one related to the algebra of Chan-Paton factors and the other to cancellation of divergences. One consequence is that the Dirichlet 5-branes of the Type I theory carry a symplectic gauge group, as required by string duality. As another application we study the Type I theory on a \(K3\) \(Z_2\) orbifold, finding a family of consistent theories with various unitary and symplectic subgroups of \(U(16) \times U(16)\). We argue that the \(K3\) orbifold with spin connection embedded in gauge connection corresponds to an interacting conformal field theory in the Type I theory.
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            Type IIB Orientifolds with NS-NS Antisymmetric Tensor Backgrounds

            We consider six dimensional N=1 space-time supersymmetric Type IIB orientifolds with non-zero untwisted NS-NS sector B-field. The B-field is quantized due to the requirement that the Type IIB spectrum be left-right symmetric. The presence of the B-field results in rank reduction of both 99 and 55 open string sector gauge groups. We point out that in some of the models with non-zero B-field there are extra tensor multiplets in the Z_2 twisted closed string sector, and we explain their origin in a simple example. Also, the 59 open string sector states come with a multiplicity that depends on the B-field. These two facts are in accord with anomaly cancellation requirements. We point out relations between various orientifolds with and without the B-field, and also discuss the F-theory duals of these models.
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              Author and article information

              Journal
              19 August 1999
              1999-11-03
              Article
              10.1016/S0550-3213(99)00795-6
              hep-th/9908130
              9e1e22d8-d4a0-4d64-ba23-93931ce1d6df
              Custom metadata
              HUB-EP-99/45
              Nucl.Phys. B569 (2000) 209-228
              23 pages, TeX, harvmac, 9 figures, intro changed, ref. added, Z_6 spectrum slightly changed
              hep-th

              High energy & Particle physics
              High energy & Particle physics

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