5 research outputs found
The matrix factorisations of the D-model
The fundamental matrix factorisations of the D-model superpotential are found
and identified with the boundary states of the corresponding conformal field
theory. The analysis is performed for both GSO-projections. We also comment on
the relation of this analysis to the theory of surface singularities and their
orbifold description.Comment: 23 pages, LaTe
Calculations for Mirror Symmetry with D-branes
We study normal functions capturing D-brane superpotentials on several one-
and two-parameter Calabi-Yau hypersurfaces and complete intersections in
weighted projective space. We calculate in the B-model and interpret the
results using mirror symmetry in the large volume regime, albeit without
identifying the precise A-model geometry in all cases. We identify new classes
of extensions of Picard-Fuchs equations, as well as a novel type of topology
changing phase transition involving quantum D-branes. A 4-d domain wall which
is obtained in one region of closed string moduli space from wrapping a
four-chain interpolating between two Lagrangian submanifolds is, for other
values of the parameters, represented by a disk ending on a single Lagrangian.Comment: 42 page
Integrability of the N=2 boundary sine-Gordon model
We construct a boundary Lagrangian for the N=2 supersymmetric sine-Gordon
model which preserves (B-type) supersymmetry and integrability to all orders in
the bulk coupling constant g. The supersymmetry constraint is expressed in
terms of matrix factorisations.Comment: LaTeX, 19 pages, no figures; v2: title changed, minor improvements,
refs added, to appear in J. Phys. A: Math. Ge
Landau-Ginzburg Realization of Open String TFT.
We investigate B-type topological Landau-Ginzburg theory with one variable,
with D2-brane boundary conditions. We find that the allowed brane
configurations are determined in terms of the possible factorizations of the
superpotential, and compute the corresponding open string chiral rings. These
are characterized by bosonic and fermionic generators that satisfy certain
relations. Moreover we show that the disk correlators, being continuous
functions of deformation parameters, satisfy the topological sewing
constraints, thereby proving consistency of the theory. In addition we show
that the open string LG model is, in its content, equivalent to a certain
triangulated category introduced by Kontsevich, and thus may be viewed as a
concrete physical realization of it.Comment: Latex, 29p, 1 fig, refs added, various minor corrections, example
section droppe