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

Barak Kol | Zendy; J. Rahmfeld | Zendy

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

Author(s) -

Barak Kol,

J. Rahmfeld

Publication year - 1998

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/1998/08/006

Subject(s) - diagrammatic reasoning , lift (data mining) , physics , theoretical physics , spectrum (functional analysis) , moduli space , string (physics) , moduli , string theory , brane , field (mathematics) , supersymmetry , genus , string field theory , field theory (psychology) , mathematical physics , mathematics , quantum mechanics , pure mathematics , computer science , botany , biology , programming language , data mining

We study the BPS spectrum of supersymmetric 5 dimensional field theories andtheir representations as string webs. It is found that a state of given chargesexists when it has a representation as an irreducible string web. Its spin isdetermined by the string web. The number of fermionic zero modes is 8g+4b,where g is the number of internal faces and b is the number of boundaries. Inthe lift to M theory of 4d field theories such states are described bymembranes ending on the 5-brane, breaking SUSY from 8 to 4, and g becomes thegenus of the membrane. Mathematically, we obtain a diagrammatic method to findthe spectrum of curves on a toric complex surface, and the number of theirmoduli.Comment: 20 pages, latex, 9 figures. Changes are described at the end of the introductio

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