BPS orientifold planes from crosscap states in Calabi-Yau compactifications

Huiszoon, L.R.; Schalm, Koenraad

doi:10.1088/1126-6708/2003/11/019

Cited by 9 publications

(23 citation statements)

References 29 publications

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“…The order of the group generated by this theory depends on internal compactification space [34]. However, in unoriented closed/open theories, the supersymmetric properties of the theory in general and crosscap states in particular cannot be divorced from the ambient space [26,49,27]. the structure of the components.…”

Section: Currentmentioning

confidence: 99%

“…the structure of the components. The relevant feature is that this current is even, as described in [49].…”

Section: Currentmentioning

confidence: 99%

“…[34]). However, in the context of orientifolds this separation of the theory into spacetime and internal sectors is very awkward, as without the complete GSO projection the resulting crosscaps did not satisfy the BPS condition [26,27,49]. Hence, a careful study of the GSO projection is necessary.…”

Section: Orientifolds In Gepner Modelsmentioning

confidence: 99%

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Crosscaps in Gepner models and the moduli space of $T^{2}$ orientifolds

Bates¹,

Doran²,

Schalm³

2007

Advances in Theoretical and Mathematical Physics

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We study T 2 orientifolds and their moduli space in detail. Geometrical insight into the involutive automorphisms of T 2 allows a straightforward derivation of the moduli space of orientifolded T 2 s. Using c = 3 Gepner models, we compare the explicit worldsheet sigma model of an orientifolded T 2 compactification with the CFT results. In doing so, we derive half-supersymmetry preserving crosscap coefficients for generic unoriented Gepner models using simple current techniques to construct the charges and tensions of Calabi-Yau orientifold planes. For T 2 s, we are able to identify the O-plane charge directly as the number of fixed points of the involution; this number plays an important role throughout our analysis. At several points we make connections with the mathematical literature on real elliptic curves. We conclude with a preliminary extension of these results to elliptically fibered K3s.e-print archive: http://lanl.arXiv.org/abs/arXiv:hep-th/0612228 * Current address.

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Section: Currentmentioning

confidence: 99%

“…the structure of the components. The relevant feature is that this current is even, as described in [49].…”

Section: Currentmentioning

confidence: 99%

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Crosscaps in Gepner models and the moduli space of $T^{2}$ orientifolds

Bates¹,

Doran²,

Schalm³

2007

Advances in Theoretical and Mathematical Physics

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“…Therefore, we are naturally led to consider orientifolds of Gepner models [20][21][22][23][24][25][26][27][28]. We would like to emphasize that even without these phenomenological ambitions in mind, just from the technical conformal field theory point of view [29][30][31][32][33][34][35], the construction of fully fledged Gepner model orientifolds is a natural next step to perform.…”

Section: Introductionmentioning

confidence: 99%

“…In fact there has lately been some work on the construction of crosscap states (orientifold planes) in Gepner models respectively in more general N = 2 theories [24,25,26,27]. 1 However, there do exist only very few attempts to really construct fully fledged orientifold models including the derivation of the tadpole cancellation conditions, their solutions and the determination of the resulting massless spectra.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric orientifolds of Gepner models

Blumenhagen¹

2003

J. High Energy Phys.

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Supersymmetric orientifolds of four dimensional Gepner Models are constructed in a systematic way. For all levels of the Gepner model being odd the generic expression for both the A-type and the B-type Klein bottle amplitude is derived. The appearing massless tadpoles are canceled by introducing appropriate boundary states of Recknagel/Schomerus(RS). After determining the Möbius strip amplitude we extract general expressions for the tadpole cancellation conditions. We discuss the issue of chirality for such supersymmetric orientifold models and finally present a couple of examples in detail. 10/2003

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TFT construction of RCFT correlators II: unoriented world sheets

2004

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A full rational CFT, consistent on all orientable world sheets, can be constructed from the underlying chiral CFT, i.e. a vertex algebra, its representation category C, and the system of chiral blocks, once we select a symmetric special Frobenius algebra A in the category C [I]. Here we show that the construction of [I] can be extended to unoriented world sheets by specifying one additional datum: a reversion σ on A -an isomorphism from the opposed algebra of A to A that squares to the twist. A given full CFT on oriented surfaces can admit inequivalent reversions, which give rise to different amplitudes on unoriented surfaces, in particular to different Klein bottle amplitudes. We study the classification of reversions, work out the construction of the annulus, Möbius strip and Klein bottle partition functions, and discuss properties of defect lines on non-orientable world sheets. As an illustration, the Ising model is treated in detail. manche meinen lechts und rinks kann man nicht velwechsern. werch ein illtum! Ernst Jandl [ J ]

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BPS orientifold planes from crosscap states in Calabi-Yau compactifications

Cited by 9 publications

References 29 publications

Crosscaps in Gepner models and the moduli space of $T^{2}$ orientifolds

Crosscaps in Gepner models and the moduli space of $T^{2}$ orientifolds

Supersymmetric orientifolds of Gepner models

TFT construction of RCFT correlators II: unoriented world sheets

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