2007/07/13 by Sergio L. Cacciatori, Sergio Cacciatori, Francesco Piazza +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1007/s11005-007-0213-8
published as Lett.Math.Phys.83:127-138,2008 · 10 pages, comments and reference added in the conclusions
arxiv created 2007/07/13 · openalex publication_date 2007/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
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 [1]. Our method has the advantage of using only algebraic properties of modular functions and it can be extended to any genus g.