List Of Footnotes

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 The embedding coordinates $Xm(t, s)$ and $Y m(t,s)$ in (4 ) 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 [73 ]. 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 ].