## Abstract

We investigate some aspects of the relationship between matrix string theory and light-cone string field theory by analysing the correspondence between the two-loop thermal partition function of DLCQ strings in flat space and the integrated two-point correlator of twist fields in a symmetric product orbifold conformal field theory at one-loop order. This is carried out by deriving combinatorial expressions for generic twist field correlation functions in permutation orbifolds using the covering surface method, by deriving the one-loop modification of the twist field interaction vertex, and by relating the two-loop finite temperature DLCQ string theory to the theory of Prym varieties for genus two covers of an elliptic curve. The case of bosonic Z_{2} orbifolds is worked out explicitly and precise agreement between both amplitudes is found. We use these techniques to derive explicit expressions for Z_{2} orbifold spin twist field correlation functions in the type II and heterotic string theories. © 2007 Elsevier B.V. All rights reserved.

Original language | English |
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Pages (from-to) | 260-306 |

Number of pages | 47 |

Journal | Nuclear Physics B |

Volume | 793 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 11 Apr 2008 |

## Keywords

- Conformal field theory
- Discrete light-cone quantization
- Finite-temperature string theory
- Matrix string theory
- Permutation orbifolds