Fermion BMN operators, the dilatation operator of Script N = 4 SYM, and ppwave string interactions
Abstract
The goal of this paper is to study the BMN correspondence in the fermionic sector. On the field theory side, we compute matrix elements of the dilatation operator in Script N = 4 Super YangMills for BMN operators containing two fermion impurities. Our calculations are performed up to and including Script O(lambda') in the 't Hooft coupling and Script O(g_{2}) in the YangMills genus counting parameter. On the string theory side, we compute the corresponding matrix elements of the interacting string hamiltonian in string field theory, using the threestring interaction vertex constructed by Spradlin and Volovich (and subsequently elaborated by Pankiewicz and Stefanski). In string theory we use the natural string basis, and in field theory the basis which is isomorphic to it. We find that the matrix elements computed in field theory and the corresponding string amplitudes derived from the threestring vertex are, in all cases, in perfect agreement.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2004
 DOI:
 10.1088/11266708/2004/04/001
 arXiv:
 arXiv:hepth/0403188
 Bibcode:
 2004JHEP...04..001G
 Keywords:

 Duality in Gauge Field Theories Penrose limit and ppwave background Supersymmetry and Duality;
 High Energy Physics  Theory
 EPrint:
 37 pages, 3 figures