PP-wave/Yang-Mills Correspondence: An Explicit Check

Abstract

We present an explicit evidence that shows the correspondence between the type IIB supergravity in the pp-wave background and its dual supersymmetric Yang-Mills theory at the interaction level. We first construct the cubic term of the light-cone interaction Hamiltonian for the dilaton-axion sector of the supergravity. Our result agrees with the corresponding part of the light-cone string field theory (SFT) and furthermore fixes its previously undetermined $p^{+}$-dependent normalization. Adopting thus fixed light-cone SFT, we compute the matrix elements of light-cone Hamiltonian involving three chiral primary states and find an agreement with a prediction from the dual Yang-Mills theory.

20 pages, LaTeX; v2. an error and typos corrected, presentation improved, references added; v3. a footnote added, minor corrections

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• A Note on Cubic Interactions in PP-Wave Light Cone String Field Theory
• D-branes in PP-wave light cone string field theory
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