Elsevier

Nuclear Physics B

Volume 593, Issues 1–2, 15 January 2001, Pages 155-182
Nuclear Physics B

On D-branes from gauged linear sigma models

https://doi.org/10.1016/S0550-3213(00)00611-8Get rights and content

Abstract

We study both A-type and B-type D-branes in the gauged linear sigma model by considering worldsheets with boundary. The boundary conditions on the matter and vector multiplet fields are first considered in the large-volume phase/non-linear sigma model limit of the corresponding Calabi–Yau manifold, where we find that we need to add a contact term on the boundary. These considerations enable to us to derive the boundary conditions in the full gauged linear sigma model, including the addition of the appropriate boundary contact terms, such that these boundary conditions have the correct non-linear sigma model limit. Most of the analysis is for the case of Calabi–Yau manifolds with one Kähler modulus (including those corresponding to hypersurfaces in weighted projective space), though we comment on possible generalisations.

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      We note that boundary fermions were introduced early on as carriers of the Chan–Paton index by Marcus and Sagnotti [16] (see also [17]). More recently, they have been introduced in the study of tachyon condensation and non-BPS states beginning with the work of [18,19]. In what follows in the rest of the paper, we will assume that such a restriction to one-particle states is in operation always (this can be trivially done by using a Lagrange multiplier [22]) except where we explicitly consider situations to the contrary.

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