On D-branes from gauged linear sigma models

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 largevolume phase/non-linear sigma model limit of the corresponding CalabiYau manifold, where we also 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 our results are derived for the quintic Calabi-Yau manifold, though we comment on possible generalisations.

Fractional Branes in Landau-Ginzburg Orbifolds

“…. , n , 27) except that now we have to pick a different representation of the Clifford algebra. The relations (5.25) remain unchanged.…”

D-branes, exceptional sheaves and quivers on Calabi–Yau manifolds: from Mukai to McKay

“…We suitably modify this construction to describe (0, 2) multiplets on the boundary of the worldsheet. As in our earlier paper [18], an important issue is the inclusion of an appropriate contact term in order to have a sensible NLSM limit to the GLSM. We find that this construction allows us to describe the tensoring of vector bundles by suitable line bundles under large volume monodromy transformations.…”

“…The effect of the shift B → B + 1 is implemented by the shift θ → θ + 2π in the GLSM. This has the effect of tensoring the initial bundle by a line bundle [18,19]. This is physically equivalent to turning on D4-brane charges on the 6-brane together with lower brane charges.…”

“…In particular, the theta term in the GLSM Lagrangian imposes non-trivial constraints on the possible boundary conditions. Further, one needs to add a boundary contact term in order that boundary conditions in the GLSM have a proper large volume (NLSM) limit [18]. For the case of a six-brane, i.e., the D-brane associated with line bundle O, one can see that this contact term ensures that the large-volume monodromy is captured properly in the GLSM with boundary.…”

D=2,N=2supersymmetricσmodels on non(anti)commutative superspace

“…Further, one can add worldsheets to the boundary by putting appropriate boundary conditions on the fields in the vector multiplet and study D-branes via these models [50]. With this motivation, in this paper, we study the classical aspects of D = 2, N = 2 sigma models defined on a non(anti)commutative superspace.…”