BPS spectrum of 5 dimensional field theories, (p,q) webs and curve counting

Barak Kol*, Joachim Rahmfeld

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


We study the BPS spectrum of supersymmetric 5 dimensional field theories and their representations as string webs. It is found that a state of given charges exists when it has a representation as an irreducible string web. Its spin is determined by the string web. The number of fermionic zero modes is 8g + 46, where g is the number of internal faces and b is the number of boundaries. In the lift to M theory of 4d field theories such states are described by membranes ending on the 5-brane, breaking SUSY from 8 to 4, and g becomes the genus of the membrane. Mathematically, we obtain a diagrammatic method to find the spectrum of curves on a toric complex surface, and the number of their moduli.

Original languageAmerican English
Pages (from-to)XVI-14
JournalJournal of High Energy Physics
Issue number8
StatePublished - 1998
Externally publishedYes


  • Brane Dynamics in Gauge Theories
  • Field Theories in Higher Dimensions
  • M-Theory
  • Solitons Monopoles and Instantons


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