Conformal invariance and quantum integrability of sigma models on symmetric superspaces

dc.creatorBabichenko, A.
dc.date2006-11-20
dc.date2006-11-27
dc.date.accessioned2026-07-07T11:23:11Z
dc.date.available2026-07-07T11:23:11Z
dc.descriptionWe consider two dimensional non linear sigma models on few symmetric superspaces, which are supergroup manifolds of coset type. For those spaces where one loop beta function vanishes, two loop beta function is calculated and is shown to be zero. Vanishing of beta function in all orders of perturbation theory is shown for the principal chiral models on group supermanifolds with zero Killing form. Sigma models on symmetric (super) spaces on supergroup manifold $G/H$ are known to be classically integrable. We investigate a possibility to extend an argument of absence of quantum anomalies in non local current conservation from non super case to the case of supergroup manifolds which are asymptotically free in one loop.
dc.descriptionreferences added
dc.identifierhttps://arxiv.org/abs/hep-th/0611214
dc.identifierhttp://arxiv.org/abs/hep-th/0611214
dc.identifierPhys.Lett.B648:254-261,2007
dc.identifierdoi:10.1016/j.physletb.2007.03.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194812
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleConformal invariance and quantum integrability of sigma models on symmetric superspaces
dc.typetext

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