Four-impurity operators and string field theory vertex in the Berenstein-Maldacena-Nastase correspondence
- Department of Physics, Simon Fraser University (Canada)
In the context of the Penrose/Berenstein-Maldacena-Nastase (BMN) limit of the AdS/CFT correspondence, we consider four-impurity BMN operators in Yang-Mills theory and demonstrate explicitly their correspondence to four-oscillator states in string theory. Using the dilatation operator on the gauge-theory side of the correspondence, we calculate matrix elements between four-impurity states. Since conformal dimensions of gauge-theory operators correspond to light-cone energies of string states, these matrix elements may be compared with the string-theory light-cone Hamiltonian matrix elements calculated in the plane-wave background using the string field theory vertex. We find that the two calculations agree, extending the cases of two- and three-impurity operators considered in the literature using BMN gauge-theory quantum mechanics. The results are also in agreement with calculations in the literature based on perturbative gauge-theory methods.
- OSTI ID:
- 20705881
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 71, Issue 2; Other Information: DOI: 10.1103/PhysRevD.71.026001; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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