Duality and Weyl symmetry of 7-brane configurations
Author(s) -
Tamás Hauer,
Amer Iqbal,
Barton Zwiebach
Publication year - 2000
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 - 10.1088/1126-6708/2000/09/042
Subject(s) - brane , duality (order theory) , invariant (physics) , homogeneous space , physics , symmetry group , brane cosmology , symmetry (geometry) , theoretical physics , group (periodic table) , affine transformation , seiberg duality , pure mathematics , mathematical physics , mathematics , quantum mechanics , geometry , gauge theory , supersymmetric gauge theory , gauge anomaly
Extending earlier results on the duality symmetries of three-brane probetheories we define the duality subgroup of SL(2,Z) as the symmetry group of thebackground 7-branes configurations. We establish that the action of Weylreflections is implemented on junctions by brane transpositions that amount toexchanging branes that can be connected by open strings. This enables us tocharacterize duality groups of brane configurations by a map to the symmetrygroup of the Dynkin diagram. We compute the duality groups and their actionsfor all localizable 7-brane configurations. Surprisingly, for the case ofaffine configurations there are brane transpositions leaving them invariant butacting nontrivially on the charges of junctions.Comment: 35 pages, LaTex, 11 figure
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