Enhanced symmetries of gauge theory and resolving the spectrum of local operators

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dc.creatorKimura, Yusuke
dc.creatorRamgoolam, Sanjaye
dc.date2008-07-23
dc.date2008-08-26
dc.date.accessioned2026-07-07T12:22:26Z
dc.date.available2026-07-07T12:22:26Z
dc.descriptionEnhanced global non-abelian symmetries at zero coupling in Yang Mills theory play an important role in diagonalising the two-point functions of multi-matrix operators. Generalised Casimirs constructed from the iterated commutator action of these enhanced symmetries resolve all the multiplicity labels of the bases of matrix operators which diagonalise the two-point function. For the case of U (N) gauge theory with a single complex matrix in the adjoint of the gauge group we have a U(N)^{\times 4} global symmetry of the scaling operator at zero coupling. Different choices of commuting sets of Casimirs, for the case of a complex matrix, lead to the restricted Schur basis previously studied in connection with string excitations of giant gravitons and the Brauer basis studied in connection with brane-anti-brane systems. More generally these remarks can be extended to the diagonalisation for any global symmetry group G. Schur-Weyl duality plays a central role in connecting the enhanced symmetries and the diagonal bases.
dc.description45 pages, no figures. Revised version : added refs, corrected typos
dc.identifierhttps://arxiv.org/abs/0807.3696
dc.identifierhttp://arxiv.org/abs/0807.3696
dc.identifierPhys.Rev.D78:126003,2008
dc.identifierdoi:10.1103/PhysRevD.78.126003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213648
dc.subjectHigh Energy Physics - Theory
dc.titleEnhanced symmetries of gauge theory and resolving the spectrum of local operators
dc.typetext

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