Vector operators in the BMN correspondence -: art. no. 048

被引:0
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作者
Gürsoy, U
机构
[1] MIT, Ctr Theoret Phys, Nucl Sci Lab, Cambridge, MA 02139 USA
[2] MIT, Dept Phys, Cambridge, MA 02139 USA
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关键词
Penrose limit and pp-wave background; AdS-CFT and dS-CFT correspondence;
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中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider a BMN operator with one scalar, phi and one vector, D(mu)Z, impurity field and compute the anomalous dimension both at planar and torus levels. This mixed operator corresponds to a string state with two creation operators which belong to different SO (4) sectors of the background. The anomalous dimension at both levels is found to be the same as the scalar impurity BMN operator. At planar level this constitutes a consistency check of BMN conjecture. Agreement at the torus level can be explained by an argument using supersymmetry and supression in the BMN limit. The same argument implies that a class of fermionic BMN operators also have the same planar and torus level anomalous dimensions. Implications of the results for the map from N=4 SYM theory to string theory in the pp-wave background are discussed.
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页数:45
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