On D-branes from gauged linear sigma models
TL;DR: In this article, 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 they find that they need to add a contact term on the boundary.
About: This article is published in Nuclear Physics.The article was published on 2001-01-15 and is currently open access. It has received 76 citations till now. The article focuses on the topics: Sigma model & Boundary (topology).
Citations
More filters
TL;DR: In this article, the first three terms of a series expansion in the deformation parameter for a possible associative product were obtained explicitly for N = 2 Euclidean superspace, where the different conjugation relations among spinorial coordinates allow for more general supergeometry.
Abstract: We investigate the most general non(anti)commutative geometry in N = 1 four-dimensional superspace, invariant under the classical (i.e., undeformed) supertranslation group. We find that a nontrivial non(anti)commutative superspace geometry compatible with supertranslations exists with non(anti)commutation parameters which may depend on the spinorial coordinates. The algebra is in general nonassociative. Imposing associativity introduces additional constraints which, however, allow for nontrivial commutation relations involving fermionic coordinates. We obtain explicitly the first three terms of a series expansion in the deformation parameter for a possible associative -product. We also consider the case of N = 2 Euclidean superspace where the different conjugation relations among spinorial coordinates allow for a more general supergeometry.
219 citations
Posted Content•
TL;DR: In this paper, B-type D-branes in linear sigma models with Abelian gauge groups were studied and the most important finding is the grade restriction rule, which classifies representations of the gauge group on the Chan-Paton factor, which can be used to define a family of Dbranes over a region of the Kahler moduli space that connects special points of different character.
Abstract: We study B-type D-branes in linear sigma models with Abelian gauge groups. The most important finding is the grade restriction rule. It classifies representations of the gauge group on the Chan-Paton factor, which can be used to define a family of D-branes over a region of the K\"ahler moduli space that connects special points of different character. As an application, we find a precise, transparent relation between D-branes in various geometric phases as well as free orbifold and Landau-Ginzburg points. The result reproduces and unifies many of the earlier mathematical results on equivalences of D-brane categories, including the McKay correspondence and Orlov's construction.
217 citations
TL;DR: In this article, the authors investigated B-type topological Landau-Ginzburg theory with one variable, with D2brane boundary conditions, and determined the allowed brane configurations in terms of the possible factorizations of the superpotential, and computed the corresponding open string chiral rings.
Abstract: We investigate B-type topological Landau-Ginzburg theory with one variable, with D2brane boundary conditions. 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.
197 citations
TL;DR: In this article, the general formalism of two-dimensional topological field theories defined on open-closed oriented Riemann surfaces is discussed, starting from an extension of Segal's geometric axioms.
171 citations
Additional excerpts
...In such generality, this problem can be expected to have solutions which do not fit into a geometric ‘boundary condition’ approach– for example, a topological sigma model or Landau-Ginzburg model at the conformal point could possess more open-closed extensions than predicted by the classical boundary condition approach of [2, 11 ]....
[...]
TL;DR: In this paper, parity symmetries and cross-cap states in classes of N = 2 supersymmetric quantum eld theories in 1 + 1 dimensions were studied, including non-linear sigma models, gauged WZW models, Landau-Ginzburg models, and linear Sigma models.
Abstract: We study parity symmetries and crosscap states in classes ofN =2 supersymmetric quantum eld theories in 1 + 1 dimensions, including non-linear sigma models, gauged WZW models, Landau-Ginzburg models, and linear sigma models. The parity anomaly and its cancellation play important roles in many of them. The case of the N = 2 minimal model are studied in complete detail, from all three realizations | gauged WZW model, abstract RCFT, and LG models. We also identify mirror pairs of orientifolds, extending the correspondence between symplectic geometry and algebraic geometry by including unorientable worldsheets. Through the analysis in various models and comparison in the overlapping regimes, we obtain a global picture of orientifolds and D-branes.
166 citations
Cites background from "On D-branes from gauged linear sigm..."
...D-branes are studied in the context of linear sigma models in [22],[35]–[43]....
[...]
References
More filters
TL;DR: In this paper, a natural relation between sigma models based on Calabi-Yau hypersurfaces in weighted projective spaces and Landau-Ginzburg models is found.
2,162 citations
01 Jul 1982
1,623 citations
Book•
[...]
01 Jan 2003
TL;DR: In this paper, the authors proved mirror symmetry for supersymmetric sigma models on Calabi-Yau manifolds in 1+1 dimensions and showed that the equivalence of the gauged linear sigma model embedded in a theory with an enlarged gauge symmetry, with a Landau-Ginzburg theory of Toda type Standard R -> 1/R duality and dynamical generation of superpotential by vortices.
Abstract: We prove mirror symmetry for supersymmetric sigma models on Kahler manifolds in 1+1 dimensions The proof involves establishing the equivalence of the gauged linear sigma model, embedded in a theory with an enlarged gauge symmetry, with a Landau-Ginzburg theory of Toda type Standard R -> 1/R duality and dynamical generation of superpotential by vortices are crucial in the derivation This provides not only a proof of mirror symmetry in the case of (local and global) Calabi-Yau manifolds, but also for sigma models on manifolds with positive first Chern class, including deformations of the action by holomorphic isometries
1,436 citations
19 Dec 1991
TL;DR: In this article, the mirror manifold problem is explained from the point of view of topological field theory, which can be naturally understood from the perspective of the mirror map between mirror moduli spaces.
Abstract: These notes are devoted to explaining aspects of the mirror manifold problem that can be naturally understood from the point of view of topological field theory. Basically this involves studying the topological field theories made by twisting $N=2$ sigma models. This is mainly a review of old results, except for the discussion in \S7 of certain facts that may be relevant to constructing the ``mirror map'' between mirror moduli spaces.
687 citations
TL;DR: In this paper, the behavior of D-branes at distances far shorter than the string length scale was studied and it was shown that short-distance phenomena are described by the IR behavior of the Dbrane world volume quantum theory until the brane motion becomes relativistic.
663 citations