Quantum Quivers and Hall/Hole Halos

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Quantum Quivers and Hall/Hole Halos

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Title: Quantum Quivers and Hall/Hole Halos
Author: Denef, Frederik
Citation: Denef, Frederik. 2002. Quantum Quivers and Hall/Hole Halos. Journal of High Energy Physics 10: 23.
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Abstract: 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, including one arising in the setup of the spherical quantum Hall effect, and to count ground state degeneracies of certain dyons in supersymmetric Yang-Mills theories. A crucial ingredient is a non-renormalization theorem in N=4 quantum mechanics for the first order part of the Lagrangian in an expansion in powers of velocity.
Published Version: http://dx.doi.org/10.1088/1126-6708/2002/10/023
Other Sources: http://arxiv.org/PS_cache/hep-th/pdf/0206/0206072v3.pdf
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:2943935
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