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August 2009 Defects and D-brane monodromies
Ilka Brunner, Hans Jockers, Daniel Roggenkamp
Adv. Theor. Math. Phys. 13(4): 1077-1135 (August 2009).


In this paper D-brane monodromies are studied from a world-sheet point of view. More precisely, defect lines are used to describe the parallel transport of D-branes along deformations of the underlying bulk conformal field theories. This method is used to derive B-brane monodromies in Kähler moduli spaces of non-linear sigma models on projective hypersurfaces. The corresponding defects are constructed at Landau–Ginzburg points in these moduli spaces where matrix factorization techniques can be used. Transporting them to the large volume phase by means of gauged linear sigma model we find that their action on B-branes at large volume can be described by certain Fourier–Mukai transformations which are known from target space geometric considerations to represent the corresponding monodromies.


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Ilka Brunner. Hans Jockers. Daniel Roggenkamp. "Defects and D-brane monodromies." Adv. Theor. Math. Phys. 13 (4) 1077 - 1135, August 2009.


Published: August 2009
First available in Project Euclid: 6 July 2010

zbMATH: 1267.81266
MathSciNet: MR2661203

Rights: Copyright © 2009 International Press of Boston

Vol.13 • No. 4 • August 2009
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