Exact classical solutions of nonlinear sigma models on supermanifolds

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dc.creatorSasaki, Ryu
dc.creatorYang, Wen-Li
dc.creatorZhang, Yao-Zhong
dc.date2006-12-15
dc.date2007-03-15
dc.date.accessioned2026-07-07T11:23:25Z
dc.date.available2026-07-07T11:23:25Z
dc.descriptionWe study two-dimensional nonlinear sigma models with target spaces being the complex super Grassmannian manifolds, that is, coset supermanifolds $G(m,p|n,q)\cong U(m|n)/[U(p|q)\otimes U(m-p|n-q)]$ for $0\leq p \leq m$, $0\leq q \leq n$ and $1\leq p+q$. The projective superspace ${\bf CP}^{m-1|n}$ is a special case of $p=1$, $q=0$. For the two-dimensional Euclidean base space, a wide class of exact classical solutions (or harmonic maps) are constructed explicitly and elementarily in terms of Gramm-Schmidt orthonormalisation procedure starting from holomorphic bosonic and fermionic supervector input functions. The construction is a generalisation of the non-super case published more than twenty years ago by one of the present authors.
dc.descriptionLatex file, 17 pages; V2, typos corrected, this version will appear in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/hep-th/0612154
dc.identifierhttp://arxiv.org/abs/hep-th/0612154
dc.identifierNucl.Phys.B772:371-384,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.03.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194882
dc.subjectHigh Energy Physics - Theory
dc.subjectDisordered Systems and Neural Networks
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleExact classical solutions of nonlinear sigma models on supermanifolds
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