Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-18
JHEP0404:001,2004
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, 3 figures; references added, typos corrected
Scientific paper
10.1088/1126-6708/2004/04/001
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 N=4 Super Yang-Mills for BMN operators containing two fermion impurities. Our calculations are performed up to and including O(lambda') in the 't Hooft coupling and O(g_2) in the Yang-Mills 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 three-string 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 three-string vertex are, in all cases, in perfect agreement.
Georgiou George
Travaglini Gabriele
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