Journal of High Energy Physics

, 2012:171 | Cite as

Scaling BPS solutions and pure-Higgs states

  • Iosif Bena
  • Micha Berkooz
  • Jan de Boer
  • Sheer El-Showk
  • Dieter Van den Bleeken
Open Access


Depending on the value of the coupling, BPS states of type II string theory compactified on a Calabi-Yau manifold can be described as multicenter supergravity solutions or as BPS states in a quiver gauge theory. While states that spread into the Coulomb-branch states can be mapped one-to-one to supergravity states, this is not automatically so for the majority of Higgs-branch states. In this paper we explicitly compute the BPS spectrum of the Higgs branch of a three-center quiver with a closed loop, and identify the subset of states that are in one-to-one correspondence with Coulomb/supergravity multicenter states. We also show that there exist additional “pure-Higgs” states, that exist if and only if the charges of the centers can form a scaling solution. Using generating function techniques we compute the large charge degeneracy of the “pure-Higgs” sector and show that it is always exponential. We also construct the map between Higgs- and Coulomb-branch states, discuss its relation to the Higgs-Coulomb map of one of the authors and Verlinde, and argue that the pure Higgs states live in the kernel of this map. Given that these states have no obvious description on the Coulomb branch or in supergravity, we discuss whether they can correspond to a single-center black hole or can be related to more complicated horizonless configurations.


Black Holes in String Theory Gauge-gravity correspondence M(atrix) Theories Sigma Models 


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Copyright information

© SISSA 2012

Authors and Affiliations

  • Iosif Bena
    • 1
  • Micha Berkooz
    • 2
  • Jan de Boer
    • 3
  • Sheer El-Showk
    • 1
  • Dieter Van den Bleeken
    • 4
  1. 1.Institut de Physique Théorique, CEA Saclay, CNRS URA 2306Gif-sur-YvetteFrance
  2. 2.Department of Particle Physics and AstrophysicsWeizmann Institute of ScienceRehovotIsrael
  3. 3.Institute for Theoretical PhysicsUniversity of AmsterdamAmsterdamThe Netherlands
  4. 4.Boğaziçi University Physics DepartementBebek / IstanbulTurkey

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