Fermion BMN operators, the dilatation operator of N = 4 SYM, and pp-wave string interactions

Georgiou, G.; Travaglini, G.

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 = 4 Super Yang-Mills for BMN operators containing two fermion impurities. Our calculations are performed up to and including (λ') in the 't Hooft coupling and (g2) 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.

Citation

Georgiou, G., & Travaglini, G. (2004). Fermion BMN operators, the dilatation operator of N = 4 SYM, and pp-wave string interactions. Journal of High Energy Physics, 2004(04), https://doi.org/10.1088/1126-6708/2004/04/001

• Journal Article Type: Article
• Publication Date: Apr 7, 2004
• Deposit Date: May 8, 2008
• Publicly Available Date: May 8, 2008
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2004
• Issue: 04
• DOI: https://doi.org/10.1088/1126-6708/2004/04/001
• Keywords: Duality in gauge field theories, Penrose limit and pp-wave background, Supersymmetry, Duality.
• Public URL: https://durham-repository.worktribe.com/output/1588083