Open AccessDuality, phases, spinors and monopoles in SO(N) and spin(N) gauge theories
Author(s) -
Matthew J. Strassler
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 - 10.1088/1126-6708/1998/09/017
Subject(s) - spinor , magnetic monopole , physics , gauge theory , supersymmetric gauge theory , duality (order theory) , seiberg duality , mathematical physics , s duality , theoretical physics , gauge group , introduction to gauge theory , spin (aerodynamics) , dual representation , gauge anomaly , quantum electrodynamics , quantum mechanics , dual (grammatical number) , mathematics , quantum , pure mathematics , quantum gravity , relationship between string theory and quantum field theory , art , literature , thermodynamics
Four-dimensional N=1 supersymmetric Spin(N) gauge theories with matter in thevector and spinor representations are considered. Dual descriptions are knownfor some of these theories. It is noted that when masses are given to allfields in the spinor representation, the dual gauge group G breaks to a group Hsuch that \pi_2(G/H)=Z_2. The quantum numbers of the associated Z_2 monopoleand those of the massive spinors are shown to agree, suggesting that themonopole is the image of the massive spinors under duality. It follows thatelectric sources in the spinor representation, needed as test charges todetermine the phase of an SO(N) gauge theory, can be introduced as Z_2-valuedmagnetic sources in the dual nonabelian gauge theory. This fact is used tostudy the phases of SO(N) gauge theories with matter in the vectorrepresentation.Comment: 25 page
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