Exact classical solutions of nonlinear sigma models on supermanifolds

doi:10.1016/j.nuclphysb.2007.03.013

	Exact classical solutions of nonlinear sigma models on supermanifolds
	Sasaki, Ryu ; Yang, Wen-Li ; Zhang, Yao-Zhong
刊名	NUCLEAR PHYSICS B
	2007-06-18
卷号	772 页码:371-384
关键词	nonlinear sigma model on supermanifolds Gramm-Schmidt orthonormalisation procedure Super-Grassmannian manifold
ISSN号	0550-3213
DOI	10.1016/j.nuclphysb.2007.03.013
英文摘要	We study two-dimensional nonlinear sigma models with target spaces being the complex super-Grassmannian manifolds, that is, coset supermanifolds G(m, p vertical bar n, q) congruent to U(m vertical bar n)/[U(p vertical bar q) circle times U(m-p vertical bar n-q)] for 0 <= p <= m, 0 <= q <= n and 1 <= p+q. The projective superspace CPm-1 vertical bar 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. (C) 2007 Elsevier B.V. All rights reserved.
WOS关键词	INSTANTONS
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000247183900007
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/27414]
专题	中国科学院近代物理研究所
通讯作者	Yang, Wen-Li
作者单位	1.Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia 2.Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan 3.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China
推荐引用方式 GB/T 7714	Sasaki, Ryu,Yang, Wen-Li,Zhang, Yao-Zhong. Exact classical solutions of nonlinear sigma models on supermanifolds[J]. NUCLEAR PHYSICS B,2007,772:371-384.
APA	Sasaki, Ryu,Yang, Wen-Li,&Zhang, Yao-Zhong.(2007).Exact classical solutions of nonlinear sigma models on supermanifolds.NUCLEAR PHYSICS B,772,371-384.
MLA	Sasaki, Ryu,et al."Exact classical solutions of nonlinear sigma models on supermanifolds".NUCLEAR PHYSICS B 772(2007):371-384.