Two-Loop Superstrings IV, The Cosmological Constant and Modular Forms

Details Two-Loop Superstrings IV, The Cosmological Constant and Modular Forms Two-Loop Superstrings IV, The Cosmological Constant and Modular Forms

2001-11-05

arxiv.org/abs/hep-th/0111040v1

Nucl.Phys.B639:129-181,2002

Physics

High Energy Physics

High Energy Physics - Theory

58 pages, no figures

Scientific paper

10.1016/S0550-3213(02)00516-3

The slice-independent gauge-fixed superstring chiral measure in genus 2 derived in the earlier papers of this series for each spin structure is evaluated explicitly in terms of theta-constants. The slice-independence allows an arbitrary choice of superghost insertion points q_1, q_2 in the explicit evaluation, and the most effective one turns out to be the split gauge defined by S_{\delta}(q_1,q_2)=0. This results in expressions involving bilinear theta-constants M. The final formula in terms of only theta-constants follows from new identities between M and theta-constants which may be interesting in their own right. The action of the modular group Sp(4,Z) is worked out explicitly for the contribution of each spin structure to the superstring chiral measure. It is found that there is a unique choice of relative phases which insures the modular invariance of the full chiral superstring measure, and hence a unique way of implementing the GSO projection for even spin structure. The resulting cosmological constant vanishes, not by a Riemann identity, but rather by the genus 2 identity expressing any modular form of weight 8 as the square of a modular form of weight 4. The degeneration limits for the contribution of each spin structure are determined, and the divergences, before the GSO projection, are found to be the ones expected on physical grounds.

Affiliated with

Also associated with

No associations

Rating

Two-Loop Superstrings IV, The Cosmological Constant and Modular Forms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two-Loop Superstrings IV, The Cosmological Constant and Modular Forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-Loop Superstrings IV, The Cosmological Constant and Modular Forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-434062