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D-Branes and Vanishing Cycles in Higher Dimensions

Authors
  • Raugas, Mark
Type
Preprint
Publication Date
Feb 20, 2001
Submission Date
Feb 20, 2001
Identifiers
arXiv ID: hep-th/0102133
Source
arXiv
License
Unknown
External links

Abstract

We investigate the quantum volume of D-branes wrapped around cycles of various dimension in Calabi-Yau fourfolds and fivefolds. Examining the cases of the sextic and heptic hypersurface Calabi-Yau varieties, as well as one example in weighted projective space, we find expressions for periods which vanish at the singular point analogous to the conifold point. As in the known three-dimensional cases, it is the top dimensional cycle which attains zero quantum volume, even though lower dimensional cycles remain non-degenerate, indicating this phenomena to be a general feature of quantum geometry.

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