# Quantum quivers and Hall / hole halos

@article{Denef2002QuantumQA,
title={Quantum quivers and Hall / hole halos},
author={Frederik Denef},
journal={Journal of High Energy Physics},
year={2002},
volume={2002},
pages={023-023}
}
• F. Denef
• Published 9 June 2002
• Physics
• Journal of High Energy Physics
Two pictures of BPS bound states in Calabi-Yau compactifications of type II string theory exist, one as a set of particles at equilibrium separations from each other, the other as a fusion of D-branes at a single point of space. We 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…
335 Citations

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## References

SHOWING 1-10 OF 75 REFERENCES
How Bob Laughlin tamed the giant graviton from Taub-NUT space
• Physics
• 2000
In this paper we show how two dimensional electron systems can be modeled by strings interacting with D-branes. The dualities of string theory allow several descriptions of the system. These include
Counting Yang-Mills Dyons with Index Theorems
• Physics
• 2000
We count the supersymmetric bound states of many distinct BPS monopoles in N=4 Yang-Mills theories and in pure N=2 Yang-Mills theories. The novelty here is that we work in generic Coulombic vacua
Dyons in N=4 supersymmetric theories and three-pronged strings
• Physics
• 1998
We construct and explore BPS states that preserve 1/4 of supersymmetry in N=4 Yang-Mills theories. Such states are also realized as three-pronged strings ending on D3-branes. We correct the electric
Phases of supersymmetric D-branes on Kähler manifolds and the McKay correspondence
We study the topological zero mode sector of type II strings on a Kahler manifold X in the presence of boundaries. We construct two nite bases, in a sense bosonic and fermionic, that generate the the
D-branes on Stringy Calabi-Yau Manifolds
• Mathematics
• 2000
We argue that D-branes corresponding to rational B boundary states in a Gepner model can be understood as fractional branes in the Landau-Ginzburg orbifold phase of the linear sigma model
D-brane dynamics and the quantum Hall effect
• Physics
• 2001
We study the recently proposed D-brane configuration [1] modeling the quantum Hall effect, focusing on the nature of the interactions between the charged particles. Our analysis indicates that the
Split attractor flows and the spectrum of BPS D-branes on the quintic
• Physics
• 2001
We investigate the spectrum of type-IIA BPS D-branes on the quintic from a four-dimensional supergravity perspective and the associated split attractor flow picture. We obtain some very concrete