## Abstract

We review the spectral curve for the classical string in AdS(5) x S-5. Classical integrability of the AdS(5) x S-5 string implies the existence of a flat connection, whose monodromies generate an infinite set of conserved charges. The spectral curve is constructed out of the quasi-momenta, which are eigenvalues of the monodromy matrix, and each finite-gap classical solution can be characterized in terms of such a curve. This provides a concise and powerful description of the classical solution space. In addition, semi-classical quantization of the string can be performed in terms of the quasi-momenta. We review the general frame-work of the semi-classical quantization in this context and exemplify it with the circular string solution which is supported on R x S-3 subset of AdS(5) x S-5.

Original language | English |
---|---|

Pages (from-to) | 169-190 |

Number of pages | 22 |

Journal | LETTERS IN MATHEMATICAL PHYSICS |

Volume | 99 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - Jan 2012 |