Poisson reduction and branes in Poisson-Sigma models

被引:13
作者
Calvo, I [1 ]
Falceto, F [1 ]
机构
[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain
关键词
topological field theory; boundary conditions; Poisson geometry;
D O I
10.1007/s11005-004-4302-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyse the problem of boundary conditions for the Poisson - Sigma model and extend previous results showing that non-coisotropic branes are allowed. We discuss the canonical reduction of a Poisson structure to a submanifold, leading to a Poisson algebra that generalizes Dirac's construction. The phase space of the model on the strip is related to the ( generalized) Dirac bracket on the branes through a dual pair structure.
引用
收藏
页码:231 / 247
页数:17
相关论文
共 16 条
[1]  
BOJOWALD M, HEPTH0304252
[2]  
BONECHI F, HEPTH0311213
[3]  
Calvo I, 2003, J HIGH ENERGY PHYS
[4]   A path integral approach to the Kontsevich quantization formula [J].
Cattaneo, AS ;
Felder, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 212 (03) :591-611
[5]   Poisson sigma models and deformation quantization [J].
Cattaneo, AS ;
Felder, G .
MODERN PHYSICS LETTERS A, 2001, 16 (4-6) :179-189
[6]  
CATTANEO AS, MATHQA0309180
[7]  
CRAINIC M, MATHDG0210152
[8]   Boundary G/G theory and topological Poisson-Lie sigma model [J].
Falceto, F ;
Gawedzki, K .
LETTERS IN MATHEMATICAL PHYSICS, 2002, 59 (01) :61-79
[9]  
HENNAUX M, 1992, QUANTIZATION GAUGE S
[10]   2-DIMENSIONAL GRAVITY AND NONLINEAR GAUGE-THEORY [J].
IKEDA, N .
ANNALS OF PHYSICS, 1994, 235 (02) :435-464