Duality groups, automorphic forms, and higher derivative corrections

Journal Article · Thu Mar 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.066002· OSTI ID:21020214

Lambert, Neil; West, Peter ^[1]

---

1. Department of Mathematics, King's College, London WC2R 2LS (United Kingdom)

We study the higher derivative corrections that occur in type II superstring theories in ten dimensions or less. Assuming invariance under a discrete duality group G(Z) we show that the generic functions of the scalar fields that occur can be identified with automorphic forms. We then give a systematic method to construct automorphic forms from a given group G(Z) together with a chosen subgroup H and a linear representation of G(Z). This construction is based on the theory of nonlinear realizations and we find that the automorphic forms contain the weights of G. We also carry out the dimensional reduction of the generic higher derivative corrections of the IIB theory to three dimensions and find that the weights of E{sub 8} occur generalizing previous results of the authors on M theory. Since the automorphic forms of this theory contain the weights of E{sub 8} we can interpret the occurrence of weights in the dimensional reduction as evidence for an underlying U-duality symmetry.

• OSTI ID: 21020214
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
DUALITY
M-THEORY
MANY-DIMENSIONAL CALCULATIONS
NONLINEAR PROBLEMS
QUANTUM FIELD THEORY
SCALAR FIELDS
SUPERSTRING MODELS
SYMMETRY