Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-22
Nucl.Phys.B793:260-306,2008
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, 1 figure; v2: typos corrected
Scientific paper
10.1016/j.nuclphysb.2007.10.014
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.
Cove Henry C. D.
Kadar Zoltan
Szabo Richard J.
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