Generalized complex manifolds and supersymmetry

被引:84
作者
Lindström, U
Minasian, R
Tomasiello, A
Zabzine, M
机构
[1] Uppsala Univ, Dept Theoret Phys, S-75108 Uppsala, Sweden
[2] Univ Helsinki, Helsinki Inst Phys, Suomi 00014, Finland
[3] Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France
[4] Univ Paris 06, LPTHE, F-75252 Paris, France
[5] Inst Mittag Leffler, S-18262 Djursholm, Sweden
关键词
D O I
10.1007/s00220-004-1265-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two-dimensional model we construct is a supersymmetric relative of the Poisson sigma model used in the context of deformation quantization.
引用
收藏
页码:235 / 256
页数:22
相关论文
共 28 条
[1]  
Baulieu L, 2002, J HIGH ENERGY PHYS
[2]  
Berkovits N, 2000, J HIGH ENERGY PHYS
[3]   A path integral approach to the Kontsevich quantization formula [J].
Cattaneo, AS ;
Felder, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 212 (03) :591-611
[4]  
CAVALCANTI G, 2004, GEN COMPLEX STRUCTUR
[5]  
COURANT T, 1988, TRAVAUX COURS, V27, P39
[6]   DIRAC MANIFOLDS [J].
COURANT, TJ .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 319 (02) :631-661
[7]  
FIDANZA S, 2003, MIRROR SYMMETRIC SU
[8]  
FLOURNOY A, 2004, CONSTRUCTING NONGEOM
[9]   TWISTED MULTIPLETS AND NEW SUPERSYMMETRIC NON-LINEAR SIGMA-MODELS [J].
GATES, SJ ;
HULL, CM ;
ROCEK, M .
NUCLEAR PHYSICS B, 1984, 248 (01) :157-186
[10]  
GRANGE P, 2004, JHEP, V410