Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-12-16
Nucl.Phys. B576 (2000) 347-374
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, version to appear in Nucl. Phys. B, no figures, uses PHYZZX
Scientific paper
10.1016/S0550-3213(00)00167-X
We carefully re-examine the issues of solving the modified Bianchi identity, anomaly cancellations and flux quantization in the S^1/Z_2 orbifold of M-theory using the boundary-free "upstairs" formalism, avoiding several misconceptions present in earlier literature. While the solution for the four-form G to the modified Bianchi identity appears to depend on an arbitrary parameter b, we show that requiring G to be globally well-defined, i.e. invariant under small and large gauge and local Lorentz transformations, fixes b=1. This value also is necessary for a consistent reduction to the heterotic string in the small-radius limit. Insisting on properly defining all fields on the circle, we find that there is a previously unnoticed additional contribution to the anomaly inflow from the eleven-dimensional topological term. Anomaly cancellation then requires a quadratic relation between b and the combination lambda^6/kappa^4 of the gauge and gravitational coupling constants lambda and kappa. This contrasts with previous beliefs that anomaly cancellation would give a cubic equation for b. We observe that our solution for G automatically satisfies integer or half-integer flux quantization for the appropriate cycles. We explicitly write out the anomaly cancelling terms of the heterotic string as inherited from the M-theory approach. They differ from the usual ones by the addition of a well-defined local counterterm. We also show how five-branes enter our analysis.
Bilal Adel
Derendinger Jean-Pierre
Sauser Roger
No associations
LandOfFree
M-Theory on S^1/Z_2 : New Facts from a Careful Analysis 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 M-Theory on S^1/Z_2 : New Facts from a Careful Analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and M-Theory on S^1/Z_2 : New Facts from a Careful Analysis will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-245049