Super Calabi-Yau's and special Lagrangians | Zendy

Riccardo Ricci | Zendy

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Super Calabi-Yau's and special Lagrangians

Author(s) -

Riccardo Ricci

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/03/048

Subject(s) - conifold , calabi–yau manifold , mirror symmetry , infinitesimal , pure mathematics , mathematics , differential geometry , manifold (fluid mechanics) , symmetry (geometry) , class (philosophy) , lagrangian , mathematical analysis , algebra over a field , physics , geometry , mathematical physics , computer science , gauge theory , mechanical engineering , artificial intelligence , engineering

We apply mirror symmetry to the super Calabi-Yau manifold CP^{(n|n+1)} andshow that the mirror can be recast in a form which depends only on thesuperdimension and which is reminiscent of a generalized conifold. We discussits geometrical properties in comparison to the familiar conifold geometry. Inthe second part of the paper examples of special-Lagrangian submanifolds areconstructed for a class of super Calabi-Yau's. We finally comment on theirinfinitesimal deformations.Comment: 20 pages, no figures, latex; v2: references added; v3: minor clarifications added, version published in JHE

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