Vector operators in the BMN correspondence | Zendy

Umut Gürsoy | Zendy

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Vector operators in the BMN correspondence

Author(s) -

Umut Gürsoy

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/07/048

Subject(s) - scalar (mathematics) , operator (biology) , torus , mathematical physics , physics , conjecture , dimension (graph theory) , planar , vector operator , scalar field , mathematics , pure mathematics , quantum mechanics , vector potential , magnetic field , geometry , biochemistry , chemistry , repressor , transcription factor , gene , computer graphics (images) , computer science

We consider a BMN operator with one scalar, phi, and one vector, D_{m}Z,impurity field and compute the anomalous dimension both at planar and toruslevels. This "mixed" operator corresponds to a string state with two creationoperators which belong to different SO(4) sectors of the background. Theanomalous dimension at both levels is found to be the same as the scalarimpurity BMN operator. At planar level this constitutes a consistency check ofBMN conjecture. Agreement at the torus level can be explained by an argumentusing supersymmetry and supression in the BMN limit. The same argument impliesthat a class of fermionic BMN operators also have the same planar and toruslevel anomalous dimensions. Implications of the results for the map from N=4SYM theory to string theory in the pp-wave background are discussed.Comment: 46 pages with 24 figure

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