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

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

1994-10-28

arxiv.org/abs/hep-th/9410226v2

Lett.Math.Phys. 34 (1995) 407-413

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, DAMTP-R/94/29

Scientific paper

10.1007/BF00750072

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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