We compute the tree-level superpotential coming from B-branes wrapped on curves for a class of local Calabi--Yau threefolds, the Laufer (non rational) local curves. The superpotential is obtained by studying the deformation-obstruction map for the curve inside the threefold. It corresponds to the commutative limit of the brane potential. In this generality we claim that the noncommutative superpotential can be obtained from the commutative one in a simple way.
Normal bundles to Laufer curves in local Calabi-Yau threefolds / Bruzzo, U.; Ricco, A.. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 76:(2006), pp. 57-63. [10.1007/s11005-006-0057-7]
Normal bundles to Laufer curves in local Calabi-Yau threefolds
Bruzzo, U.;
2006-01-01
Abstract
We compute the tree-level superpotential coming from B-branes wrapped on curves for a class of local Calabi--Yau threefolds, the Laufer (non rational) local curves. The superpotential is obtained by studying the deformation-obstruction map for the curve inside the threefold. It corresponds to the commutative limit of the brane potential. In this generality we claim that the noncommutative superpotential can be obtained from the commutative one in a simple way.| File | Dimensione | Formato | |
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