Lie algebraic noncommutative gravity

被引:57
作者
Banerjee, Rabin
Mukherjee, Pradip
Samanta, Saurav
机构
[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, W Bengal, India
[2] Presidency Coll, Kolkata 700073, W Bengal, India
来源
PHYSICAL REVIEW D | 2007年 / 75卷 / 12期
关键词
D O I
10.1103/PhysRevD.75.125020
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We exploit the Seiberg-Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space-time. Detailed expressions of the Seiberg-Witten maps for the gauge parameters, gauge potentials, and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.
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页数:7
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