Moebius invariant BFKL equation for the adjoint representation in N=4 SUSY

Abstract

It is shown that in the next-to-leading approximation of N=4 SUSY the BFKL equation for two-gluon composite states in the adjoint representation of the gauge group can be reduced to a form which is invariant under Moebius transformation in the momentum space. The corresponding similarity transformation of its integral kernel is constructed in an explicit way.

14 pages

References in corpus (7)

• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA
• Integrability of scattering amplitudes in N=4 SUSY
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• Mandelstam cuts and light-like Wilson loops in N=4 SUSY
• NLO Corrections to the kernel of the BKP-equations
• The dipole form of the BFKL kernel in supersymmetric Yang--Mills theories

Cited by in corpus (6)

• Gluon Reggeization in Yang-Mills Theories
• On a residual freedom of the next-to-leading BFKL eigenvalue in color adjoint representation in planar $\mathcal{N}=4$ SYM
• Impact factors for Reggeon-gluon transition in N = 4 SYM with large number of colours
• On Hermitian separability of the next-to-leading order BFKL kernel for the adjoint representation of the gauge group in the planar N = 4 SYM
• Discontinuites of BFKL amplitudes and the BDS ansatz
• Universal transcendentality limit of BFKL eigenvalue