Open String Instantons and Relative Stable Morphisms [electronic resource].

Published:: Washington, D.C. : United States. Dept. of Energy. Office of Energy Research, 2001.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description:: vp : digital, PDF file
Additional Creators:: Stanford Linear Accelerator Center, United States. Department of Energy. Office of Energy Research, and United States. Department of Energy. Office of Scientific and Technical Information

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Summary:

We show how topological open string theory amplitudes can be computed by using relative stable morphisms in the algebraic category. We achieve our goal by explicitly working through an example which has been previously considered by Ooguri and Vafa from the point of view of physics. By using the method of virtual localization, we successfully reproduce their results for multiple covers of a holomorphic disc, whose boundary lies in a Lagrangian submanifold of a Calabi-Yau 3-fold, by Riemann surfaces with arbitrary genera and number of boundary components. In particular we show that in the case we consider there are no open string instantons with more than one boundary component ending on the Lagrangian submanifold.

Report Numbers:

E 1.99:slac-pub-8736
slac-pub-8736

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Note:

Published through SciTech Connect.
04/27/2001.
"slac-pub-8736"
Song, Yun S.

Type of Report and Period Covered Note:

Topical;

Funding Information:

AC03-76SF00515

View MARC record | catkey: 14349831