## Abstract

In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge worldsheet action for a type IIB superstring on AdS_{5}×S^{5} reduces to that of a free field theory. It has been conjectured by Berenstein, Maldacena, and Nastase that the energy spectrum of this string theory matches the dimensions of operators in the appropriately defined large R-charge large-N_{c} sector of N=4 supersymmetric Yang-Mills theory in four dimensions. This holographic equivalence is thought to be exact, independent of any simplifying kinematic limits. As a step toward verifying this larger conjecture, we have computed the complete set of first curvature corrections to the spectrum of light-cone gauge string theory that arises in the expansion of AdS_{5}×S^{5} about the plane-wave limit. The resulting spectrum has the complete dependence on λ=g_{YM}^{2}N_{c}; corresponding results in the gauge theory are known only to second order in λ. We find precise agreement to this order, including the N=4 extended supermultiplet structure. In the process, we demonstrate that the complicated schemes put forward in recent years for defining the Green-Schwarz superstring action in background Ramond-Ramond fields can be reduced to a practical (and correct) method for quantizing the string.

Original language | English (US) |
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Pages (from-to) | 3-40 |

Number of pages | 38 |

Journal | Nuclear Physics B |

Volume | 673 |

Issue number | 1-2 |

DOIs | |

State | Published - Nov 24 2003 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics