Free-Field Approach to D-Branes in Gepner Models

Abstract

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.

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

References in corpus (1)

• Chiral rings of vertex algebras of mirror symmetry

Cited by in corpus (5)

• Explicit construction of $N=2$ SCFT orbifold models. Spectral flow and mutual locality
• Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models
• Classical solution for ghost D-branes in string field theory
• Line bundle twisted chiral de Rham complex and bound states of D-branes on toric manifolds
• Free-Field Representation of Permutation Branes in Gepner Models