D-branes, exceptional sheaves and quivers on Calabi-Yau manifolds: From Mukai to McKay
Suresh Govindarajan,T. Jayaraman +1 more
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In this paper, a method based on mutations of helices is proposed to recover the McKay quiver using the gauged linear sigma model (GLSM) near the orbifold or Gepner point in Kahler moduli space.About:
This article is published in Nuclear Physics.The article was published on 2001-04-30 and is currently open access. It has received 88 citations till now. The article focuses on the topics: Calabi–Yau manifold & Quiver.read more
Citations
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Brane Dimers and Quiver Gauge Theories
TL;DR: In this paper, a brane tiling is constructed for non-compact 3-dimensional toric Calabi-Yau manifolds, which can be represented as a periodic tiling of the plane.
Journal ArticleDOI
Brane dimers and quiver gauge theories
TL;DR: In this paper, a brane tiling is constructed for non-compact 3-dimensional toric Calabi-Yau manifolds, which can be represented as a periodic tiling of the plane.
Journal ArticleDOI
D-branes, categories and N=1 supersymmetry
TL;DR: In this article, it was shown that boundary conditions in topological open string theory on Calabi-Yau (CY) manifolds are objects in the derived category of coherent sheaves, as foreseen in the homological mirror symmetry proposal of Kontsevich.
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Quantum quivers and Hall / hole halos
TL;DR: In this paper, the authors show how quiver quantum mechanics smoothly interpolates between the two, and use this, together with recent mathematical results on the cohomology of quiver varieties, to solve some nontrivial ground state counting problems in multi-particle quantum mechanics, including one arising in the setup of the spherical quantum Hall effect.
Journal ArticleDOI
Quantum Quivers and Hall/Hole Halos
TL;DR: In this article, the authors show how quiver quantum mechanics smoothly interpolates between the two, and use this, together with recent mathematical results on the cohomology of quiver varieties, to solve some nontrivial ground state counting problems in multi-particle quantum mechanics, including one arising in the setup of the spherical quantum Hall effect.
References
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Phases of N = 2 theories in two dimensions
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.
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D-Branes And K-Theory
TL;DR: In this paper, it was shown that D-brane charge takes values in the K-theory of spacetime, as has been suspected before, by exploiting recent arguments about stable nonsupersymmetric Dbrane states.
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Tachyon condensation on the brane antibrane system
TL;DR: In this article, it was shown that at the classical minimum of the tachyonic potential the negative energy density associated with the potential exactly cancels the sum of the tension of the brane and the anti-brane, thereby giving a configuration of zero energy density and restoring space-time supersymmetry.
Journal ArticleDOI
D-Branes And K-Theory
TL;DR: In this article, it was shown that D-brane charge takes values in the K-theory of spacetime, as has been suspected before, by exploiting recent arguments about stable nonsupersymmetric Dbrane states.