Linear Models of Supersymmetric D-Branes

By K. Hori. 2000

147 citations recorded by the source corpus.

We construct a class of supersymmetric boundary interactions in N=2 field theories on the half-space, which depend on parameters that are not at all renormalized or not renormalized in perturbation theory beyond one-loop. This can be used to study D-branes wrapped on a certain class of Lagrangian submanifolds as well as holomorphic cycles. The construction of holomorphic D-branes is in close relationship with the background independent open string field theory approach to brane/anti-brane systems. As an application, mirror pairs of Lagrangian and holomorphic D-branes are identified. The mirror pairs are studied by twisting to open topological field theories.

Subfields: Cell Biology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bf23fdc46b9b40f58a3f90d10e1797146ba01956

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Citations in the corpus

Holography and defect conformal field theories (2001, methodology): “The method we use is based on work of Hori [9], who addressed similar questions of defining supersymmetric interactions on a codimension one hypersurface (in his case in two dimensions); similar techniques have been employed previously to effect ordinary dimensional reduction [24].”
Orientifolds and mirror symmetry (2003, background): “These are nothing but the A-boundary and B-boundary that are relevant to the superfield description of boundaryN = 2 theories [49, 37].”
Branes in AdS and pp-wave spacetimes (2002, methodology): “An explicit construction of this defect CFT theory was given recently in [4], see also [53, 54, 55, 56] and [8].”
Intersecting D3-branes and holography (2002, methodology): “[37, 38], we introduce a superspace defect at w = 0, θ / = θ /− = 0 ,”
Dirichlet Branes and Mirror Symmetry (2009, methodology): “In this case the category of B-branes is equivalent to the category of representations of the Clifford algebra with n generators [240, 286].”
Phases Of N=2 Theories In 1+1 Dimensions With Boundary (2008, background): “14) was first obtained in [9, 14, 15] using boundary fermions.”
D branes in Landau-Ginzburg models and algebraic geometry (2002, background): “ar X iv :h ep -t h/ 02 10 29 6v 2 2 7 N ov 2 00”
Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds (2003, unknown): “The latter was predicted by Hori-Vafa [HV] by the B-model calculation.”
Disk Instantons, Mirror Symmetry and the Duality Web (2001, background): “theory for this class of theories has been further studied in [ 11 ].”
Topological Correlators in Landau-Ginzburg Models with Boundaries (2003, background): “iemann surfaces with boundaries. Topological boundary conditions for a 2d TFT are also called topological D-branes (of type B, in this case). In the case of LG models, they have been studied in Refs. [5, 6, 7, 1]. In order to get a simple formula for topological correlators, one ﬁrst needs a simple ”