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… 
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335 Citations
Highly Influential Citations
62
Background Citations
176
Methods Citations
64
Results Citations
12

335 Citations

From black holes to quivers
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Pure-Higgs states from the Lefschetz-Sommese theorem
We consider a special class of N=4 quiver quantum mechanics relevant in the description of BPS states of D4D0 branes in type II Calabi-Yau compactifications and the corresponding 4-dimensional black…
Exact results in quiver quantum mechanics and BPS bound state counting
A bstractWe exactly evaluate the partition function (index) of N$$ \mathcal{N} $$ = 4 supersymmetric quiver quantum mechanics in the Higgs phase by using the localization techniques. We show that the…
Corfu lectures on wall-crossing, multi-centered black holes, and quiver invariants
The BPS state spectrum in four-dimensional gauge theories or string vacua with N=2 supersymmetries is well known to depend on the values of the parameters or moduli at spatial infinity. The BPS index…
Counting Trees in Supersymmetric Quantum Mechanics
We study the supersymmetric ground states of the Kronecker model of quiver quantum mechanics. This is the simplest quiver with two gauge groups and bifundamental matter fields, and appears…
Discrete integrable systems, supersymmetric quantum mechanics, and framed BPS states
Abstract It is possible to understand whether a given BPS spectrum is generated by a relevant deformation of a 4D $$ \mathcal{N} $$ N = 2 SCFT or of an asymptotically free theory from the…
Mock modularity from black hole scattering states
A bstractThe exact degeneracies of quarter-BPS dyons in Type II string theory on K3 × T2 are given by Fourier coefficients of the inverse of the Igusa cusp form. For a fixed magnetic charge invariant…
Conformal quivers and melting molecules
A bstractQuiver quantum mechanics describes the low energy dynamics of a system of wrapped D-branes. It captures several aspects of single and multicentered BPS black hole geometries in…
Ab initio wall-crossing
We derive supersymmetric quantum mechanics of n BPS objects with 3n position degrees of freedom and 4n fermionic partners with SO(4) R-symmetry. The potential terms, essential and sufficient for the…
Regge Trajectories in N = 2 Supersymmetric Yang-Mills Theory
We demonstrate that N = 2 supersymmetric non-Abelian gauge theories have towers of BPS particles obeying a Regge relation, J ∼ m, between their angular momenta, J, and their masses, m. For SU(N)…
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