Heriot-Watt Mathematics Report Series
HWM06-4, 5 Jan 2006
Two-Loop String Theory on Null Compactifications
H Cove and R J Szabo
Abstract
We compute the two-loop contributions to the free energy in the null
compactification of string perturbation theory at finite
temperature. The cases of bosonic, Type II and heterotic strings are
all treated. The calculation exploits an explicit parametrization of the moduli
space of infinite-momentum frame string worldsheets in terms of
branched cover instantons. Various arithmetic and physical properties
of the instanton sum are described. Applications to symmetric product
orbifold conformal field theories and to the matrix string theory
conjecture are also briefly discussed.
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