The D^6 R^4 term in type IIB string theory on T^2 and U-duality

Details The D^6 R^4 term in type IIB string theory on T^2 and U-duality The D^6 R^4 term in type IIB string theory on T^2 and U-duality

2007-12-08

arxiv.org/abs/0712.1252v1

Phys.Rev.D77:106004,2008

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, LaTeX

Scientific paper

10.1103/PhysRevD.77.106004

We propose a manifestly U-duality invariant modular form for the D^6 R^4 interaction in the effective action of type IIB string theory compactified on T^2. It receives perturbative contributions upto genus three, as well as non-perturbative contributions from D-instantons and (p,q) string instantons wrapping T^2. Our construction is based on constraints coming from string perturbation theory, U-duality, the decompactification limit to ten dimensions, and the equality of the perturbative part of the amplitude in type IIA and type IIB string theories. Using duality, parts of the perturbative amplitude are also shown to match exactly the results obtained from eleven dimensional supergravity compactified on T^3 at one loop. We also obtain parts of the genus one and genus k amplitudes for the D^{2k} R^4 interaction for arbitrary k > 3. We enhance a part of this amplitude to a U-duality invariant modular form.

Affiliated with

Also associated with

No associations

Rating

The D^6 R^4 term in type IIB string theory on T^2 and U-duality 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 The D^6 R^4 term in type IIB string theory on T^2 and U-duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The D^6 R^4 term in type IIB string theory on T^2 and U-duality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-325002