Boundary states in Gepner models

Naka, Michihiro; Nozaki, Masatoshi

doi:10.1088/1126-6708/2000/05/027

Cited by 45 publications

(35 citation statements)

References 27 publications

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“…Especially it is interesting to analyze the D-branes wrapped on infinite cycle in this noncompact Calabi-Yau manifold through the recipes of boundary states in the CFT [20,21,22,19] as the case of the ordinary Gepner models [23,24,25,26]. Naka, Masatoshi Nozaki, Yuji Sato and Yuji Sugawara for useful discussions.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Gepner-like description of a string theory on a noncompact singular Calabi–Yau manifold

Yamaguchi

2001

Nuclear Physics B

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We investigate a Gepner-like superstring model described by a combination of multiple minimal models and an N = 2 Liouville theory. This model is thought to be equivalent to the superstring theory on a singular noncompact Calabi-Yau manifold. We construct the modular invariant partition function of this model, and confirm the validity of an appropriate GSO projection. We also calculate the elliptic genus and Witten index of the model. We find that the elliptic genus is factorised into a rather trivial factor and a non-trivial one, and the non-trivial one has the information on the positively curved base manifold of the cone.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Gepner-like description of a string theory on a noncompact singular Calabi–Yau manifold

Yamaguchi

2001

Nuclear Physics B

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“…At the Gepner point, a subset of the matrix factorizations can be identified [46] with the Recknagel-Schomerus boundary states | L, M, S B [47,48] in the corresponding Gepner model. The relation between D-branes on the last three families X in (2.22) and boundary states in the corresponding Gepner model has been studied in [49] which will be useful along the way (for related work see [50,51]). This will be explained in more detail in Section 3.1, where we will also specify the matrix factorizations for the various W in (2.25).…”

Section: The Programmentioning

confidence: 99%

Towards open string mirror symmetry for one-parameter Calabi-Yau hypersurfaces

Knapp

Scheidegger

2009

Advances in Theoretical and Mathematical Physics

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This work is concerned with branes and differential equations for oneparameter Calabi-Yau hypersurfaces in weighted projective spaces. For a certain class of B-branes, we derive the inhomogeneous Picard-Fuchs equations satisfied by the brane superpotential. In this way, we arrive at a prediction for the real BPS invariants for holomorphic maps of worldsheets with low Euler characteristics, ending on the mirror A-branes.

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“…For a fairly recent introductory review, see [3]; recent work on this subject has appeared e.g. in [4,5,6,7,8,9,10,11,12,13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Mirror symmetry for open strings

et al. 2000

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We discuss the generation of superpotentials in d = 4, N = 1 supersymmetric field theories arising from type IIA D6-branes wrapped on supersymmetric three-cycles of a Calabi-Yau threefold. In general, nontrivial superpotentials arise from sums over disc instantons. We then find several examples of special Lagrangian three-cycles with nontrivial topology which are mirror to obstructed rational curves, conclusively demonstrating the existence of such instanton effects. In addition, we present explicit examples of disc instantons ending on the relevant three-cycles. Finally, we give a preliminary construction of a mirror map for the open string moduli, in a large-radius limit of the type IIA compactification.

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Boundary states in Gepner models

Cited by 45 publications

References 27 publications

Gepner-like description of a string theory on a noncompact singular Calabi–Yau manifold

Gepner-like description of a string theory on a noncompact singular Calabi–Yau manifold

Towards open string mirror symmetry for one-parameter Calabi-Yau hypersurfaces

Mirror symmetry for open strings

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