An alternative formulation of light-cone string field theory on the plane wave

Abstract

We construct a manifestly SO(4) x SO(4) invariant, supersymmetric extension of the closed string cubic interaction vertex and dynamical supercharges in light-cone string field theory on the plane wave space-time. We find that the effective vertex for states built out of bosonic creation oscillators coincides with the one previously constructed in the SO(8) formalism and conjecture that in general the two formulations are physically equivalent. Further evidence for this claim is obtained from the discrete Z_2-symmetry of the plane wave and by computing the mass-shift of the simplest stringy state using perturbation theory. We verify that the leading non-planar correction to the anomalous dimension of the dual gauge theory operators is correctly recovered.

28 pages; v2: minor changes

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Cited by in corpus (24)

• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Lectures on the Plane-Wave String/Gauge Theory Duality
• TASI 2003 Lectures on AdS/CFT
• String interactions in gravitational wave backgrounds
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• The 3-string vertex and the AdS/CFT duality in the PP-wave limit
• Strings in plane wave backgrounds
• A light-cone approach to three-point functions in AdS_5 x S^5
• Derivation of String Field Theory from the Large N BMN Limit
• Open+Closed String Field Theory From Gauge Fields
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
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• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Holographic cubic vertex in the pp-wave
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations
• New tests of the pp-wave correspondence
• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
• AdS/CFT v.s. String Loops
• New aspects of the BMN correspondence beyond the planar limit
• On the Uniqueness of Plane-wave String Field Theory
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Loop Equation in D=4, N=4 SYM and String Field Equation on AdS_5 \times S^5
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• An Algebraic Model for the su(2|2) Light-Cone String Field Theory