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

37 pages, 3 figures; references added, typos corrected

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• Vector operators in the BMN correspondence
• PP-wave/Yang-Mills Correspondence: An Explicit Check
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• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• On the plane-wave cubic vertex
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• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• An alternative formulation of light-cone string field theory on the plane wave
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• Open+Closed String Field Theory From Gauge Fields
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• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• On two fermion BMN operators
• PP-wave string interactions from n-point correlators of BMN operators
• BMN operators with vector impurities, Z_2 symmetry and pp-waves
• New tests of the pp-wave correspondence
• String interactions and discrete symmetries of the pp-wave background
• On the Uniqueness of Plane-wave String Field Theory
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Cited by in corpus (20)

• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Three-Point Functions and su(1|1) Spin Chains
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations
• Holographic cubic vertex in the pp-wave
• Operator Mixing and the AdS/CFT correspondence
• Non-perturbative contributions to the plane-wave string mass matrix
• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• BMN Operators from Wilson Loop
• New aspects of the BMN correspondence beyond the planar limit
• Comments on Supersymmetry Algebra and Contact Term in Matrix String Theory
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• String theory on the Schrodinger pp-wave background
• Mixing of the RR and NSNS sectors in the BMN limit
• Giant Gravitons on the Schrodinger pp-wave geometry
• Four-Impurity Operators and String Field Theory Vertex in the BMN Correspondence
• A Note on Mirror Symmetry for Manifolds with Spin(7) Holonomy
• Entanglement Entropy of the N=4 SYM spin chain
• BMN operators with a scalar fermion pair and operator mixing in N=4 Super Yang-Mills Theory