List of Footnotes

1 For simplicity we take OA(x) to be a scalar operator here.
2 This suppression only occurs if at least one angular momentum on the five sphere becomes large. If this is not the case, e.g. for a spinning string purely on the AdS5 [69], quantum corrections are not suppressed by inverse powers of the spin on AdS5 [60].
3 This metric arises from a parameterization of the five sphere x21 + x22 + x23 +...+ x26 = 1 and anti-de-Sitter space - y2-1- y20 +y21 + y22 + ...y24 = -1 through
if if if x1 + ix2 = sing cosy e 1, x3 + ix4 = sing siny e 2, x5 +ix6 = cosg e 3; y1 + iy2 = sinhr cosyeif1, y3 + iy4 = sinh r siny eif2, y-1 + iy0 = coshr eit.
The embedding coordinates Xm(t, s) and Y m(t,s) in (4View Equation) are hence given by Xm = (r,y,f1,f2,t) and Y m = (g,y,f1,f2,f3).
4 The case w21 = 0 is discussed in Section 3.1.
5 Our conventions are (x < 1)
integral p/2 V~ -------2-- integral p/2 1 E(x) := dy 1 -x sin y K(x) := dy V~ -------2--. 0 0 1- x sin y
6 For a nice and detailed review on this topic see [73Jump To The Next Citation Point]. The technology of the algebraic Bethe ansatz is reviewed in [55].
7 integral (...) - dv v-u denotes the principle part prescription.
8 Our convention is integral TT(m2,q) := p0/2----2--2-df V~ -----2-- (1-m sinf) 1- q sin f .
9 We are actually using a slightly modified definition of these functions (compared to the one presented in [109]) which was considered in [58].
10 The full conjecture for all the higher charge densities qk may be found in [15].