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arXiv · hep-th/9410226

The Bosonic String Measure at Two and Three Loops and Symplectic Transformations of the Volume Form

Simon Davis
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Abstract

Symplectic modular invariance of the bosonic string partition function has been verified at genus 2 and 3 using the period matrix coordinatization of moduli space. A calculation of the transformation of the holomorphic part of the differential volume element shows that an extra phase arises together with the factor associated with a specific modular weight; the phase is cancelled in the transformation of the entire volume element including the complex conjugate. An argument is given for modular invariance of the reggeon measure at genus twelve.

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Simon Davis. 1994-10-29. The Bosonic String Measure at Two and Three Loops and Symplectic Transformations of the Volume Form. https://doi.org/10.1007/bf00750072

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