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

dc.creatorBasu, Anirban
dc.date2007-08-22
dc.date2008-08-14
dc.date.accessioned2026-07-07T11:41:58Z
dc.date.available2026-07-07T11:41:58Z
dc.descriptionWe propose a manifestly U-duality invariant modular form for the D^4 R^4 interaction in type IIB string theory compactified on T^2. It receives perturbative contributions upto two loops, and non-perturbative contributions from D-instantons and (p,q) string instantons wrapping T^2. We provide evidence for this modular form by showing that the coefficients at tree level and at one loop precisely match those obtained using string perturbation theory. 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. Decompactifying the theory to nine dimensions, we obtain a U-duality invariant modular form, whose coefficients at tree level and at one loop agree with string perturbation theory.
dc.description25 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/0708.2950
dc.identifierhttp://arxiv.org/abs/0708.2950
dc.identifierPhys.Rev.D77:106003,2008
dc.identifierdoi:10.1103/PhysRevD.77.106003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200721
dc.subjectHigh Energy Physics - Theory
dc.titleThe D^4 R^4 term in type IIB string theory on T^2 and U-duality
dc.typetext

Files

Collections