Abstract
In this paper we describe how representation theory of groups can be used to shorten the derivation of two loop partition functions in string theory, giving an intrinsic description of modular forms appearing in the results of D’Hoker and Phong (Nucl Phys B639:129–181, 2002). Our method has the advantage of using only algebraic properties of modular functions and it can be extended to any genus g.
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This work was partially supported by INFN.
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Cacciatori, S.L., Dalla Piazza, F. Two Loop Superstring Amplitudes and S 6 Representations. Lett Math Phys 83, 127–138 (2008). https://doi.org/10.1007/s11005-007-0213-8
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DOI: https://doi.org/10.1007/s11005-007-0213-8