Free-Field Approach to D-Branes in Gepner Models

Details Free-Field Approach to D-Branes in Gepner Models Free-Field Approach to D-Branes in Gepner Models

2004-12-24

arxiv.org/abs/hep-th/0412296v4

Nucl.Phys. B731 (2005) 360-388

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LaTeX, misprints corrected, references and comments added, discussion in sect.5 improved

Scientific paper

10.1016/j.nuclphysb.2005.10.011

We represent free-field construction of boundary states in Gepner models basing on free-field realization of N=2 superconformal minimal models. Using this construction we consider the open string spectrum between the boundary states and show that it can be described in terms of Malikov, Schechtman, Vaintrob chiral de Rham complex of the Landau- Ginzburg orbifold. It allows to establish direct relation of the open string spectrum for boundary states in Gepner models to the open string spectrum for fractional branes in Landau-Ginzburg orbifolds. The example of $1^{3}$ model considered in details.

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