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arxiv: 0809.1046 · v1 · submitted 2008-09-05 · ✦ hep-th · cond-mat.stat-mech· math-ph· math.MP

Principal Chiral Model on Superspheres

classification ✦ hep-th cond-mat.stat-mechmath-phmath.MP
keywords supersphereschiralfunctionmodelprincipalspectrumarxivboundary
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We investigate the spectrum of the principal chiral model (PCM) on odd-dimensional superspheres as a function of the curvature radius R. For volume-filling branes on S^{3|2}, we compute the exact boundary spectrum as a function of R. The extension to higher dimensional superspheres is discussed, but not carried out in detail. Our results provide very convincing evidence in favor of the strong-weak coupling duality between supersphere PCMs and OSP(2S+2|2S) Gross-Neveu models that was recently conjectured by Candu and Saleur in arXiv:0801.0444.

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