D{sup 6}R{sup 4} term in type IIB string theory on T{sup 2} and U-duality
- Institute for Advanced Study, Princeton, New Jersey 08540 (United States)
We propose a manifestly U-duality invariant modular form for the D{sup 6}R{sup 4} interaction in the effective action of type IIB string theory compactified on T{sup 2}. It receives perturbative contributions up to genus three, as well as nonperturbative contributions from D-instantons and (p,q) string instantons wrapping T{sup 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 11 dimensional supergravity compactified on T{sup 3} at one loop. We also obtain parts of the genus one and genus k amplitudes for the D{sup 2k}R{sup 4} interaction for arbitrary k{>=}4. We enhance a part of this amplitude to a U-duality invariant modular form.
- OSTI ID:
- 21205026
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 10; Other Information: DOI: 10.1103/PhysRevD.77.106004; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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