Constraints on automorphic forms of higher derivative terms from compactification

TY - JOUR

T1 - Constraints on automorphic forms of higher derivative terms from compactification

AU - Gubay, Finn

AU - Lambert, Neil

AU - West, Peter

PY - 2010

Y1 - 2010

N2 - By dimensionally reducing the higher derivative corrections of ten-dimensional IIB theory on a torus we deduce constraints on the En+1 automorphic forms that occur in d = 10 - n dimensions. In particular we argue that these automorphic forms involve the representation of En+1 with fundamental weight (lambda) over right arrow (n+1), which is also the representation to which the string charges in d dimensions belong. We also consider a similar calculation for the reduction of higher derivative terms in eleven-dimensional M-theory.

AB - By dimensionally reducing the higher derivative corrections of ten-dimensional IIB theory on a torus we deduce constraints on the En+1 automorphic forms that occur in d = 10 - n dimensions. In particular we argue that these automorphic forms involve the representation of En+1 with fundamental weight (lambda) over right arrow (n+1), which is also the representation to which the string charges in d dimensions belong. We also consider a similar calculation for the reduction of higher derivative terms in eleven-dimensional M-theory.

M3 - Article

SN - 1029-8479

VL - 2010

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 028

ER -