Abstract
We identify classical string solutions which directly give the classical part of the strong coupling pomeron intercept. The relevant solution is a close cousin of the GKP folded string, which is not surprising given the known relation with twist-2 operators. Our methods are applicable, however, also for nonzero conformal spin where we do not have a clear link with anomalous dimensions of a concrete class of operators. We analyze the BFKL folded string from the algebraic curve perspective and investigate its possible particle content.
Highlights
The BFKL pomeron intercept is known at leading and next-to-leading order both in QCD and in N = 4 SYM [4]
We identify classical string solutions which directly give the classical part of the strong coupling pomeron intercept
Even more so, using the methods of integrability in the AdS/CFT correspondence, we may hope to obtain an exact expression for the intercept valid at any coupling which interpolates between the known LO and NLO BFKL and the strong coupling behaviour
Summary
As stated in the introduction, the BFKL intercept is expressed as a function of the sl(2, C) representations. We know the first two terms in the expression for the intercept:. It was argued in [7], thatjn(ν2) should be a polynomial of order at most n/2 This observation is a direct consequence of the existence of an underlying classical string√solution. In the two sections we will show how to reproduce this formula directly from classical string solutions and how to generate many more terms beyond those following from (2.7). A crucial step in identifying solutions relevant to the BFKL Hamiltonian is the identification of an sl(2, C) subalgebra of the (complexified) conformal group [15, 16]: J0. By (2.1), this gives the following values for the charges: Another crucial identification, following from the relation between the BFKL Hamiltonian and the boost operator in the longitudinal plane, reads [15].
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