1  For simplicity we take 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 [69], quantum corrections are not suppressed by inverse powers of the spin on [60].  
3  This metric arises from a parameterization of the five sphere and antideSitter space through The embedding coordinates and in (4) are hence given by and .  
4  The case is discussed in Section 3.1.  
5  Our conventions are ()


6  For a nice and detailed review on this topic see [73]. The technology of the algebraic Bethe ansatz is reviewed in [55].  
7  denotes the principle part prescription.  
8  Our convention is .  
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 may be found in [15]. 
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