Commuting Conformal and Dual Conformal Symmetries in the Regge limit

Abstract

In this paper we continue our study of the dual SL(2,C) symmetry of the BFKL equation, analogous to the dual conformal symmetry of N=4 Super Yang Mills. We find that the ordinary and dual SL(2,C) symmetries do not generate a Yangian, in contrast to the ordinary and dual conformal symmetries in the four-dimensional gauge theory. The algebraic structure is still reminiscent of that of N=4 SYM, however, and one can extract a generator from the dual SL(2,C) close to the bi-local form associated with Yangian algebras. We also discuss the issue of whether the dual SL(2,C) symmetry, which in its original form is broken by IR effects, is broken in a controlled way, similar to the way the dual conformal symmetry of N=4 satisfies an anomalous Ward identity. At least for the lowest orders it seems possible to recover the dual SL(2,C) by deforming its representation, keeping open the possibility that it is an exact symmetry of BFKL.

arXiv comment24 pages

References in corpus (45)

• Operator expansion for high-energy scattering
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Gluon scattering amplitudes at strong coupling
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Magic identities for conformal four-point integrals
• High energy QCD as a completely integrable model
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• On planar gluon amplitudes/Wilson loops duality
• The Factorized S-Matrix of CFT/AdS
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• A Duality For The S Matrix
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Scattering into the fifth dimension of N=4 super Yang-Mills
• Dressing and Wrapping
• Four loop twist two, BFKL, wrapping and strings
• Wrapping at four loops in N=4 SYM
• High Energy Asymptotics of Multi--Colour QCD and Exactly Solvable Lattice Models
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Complete Spectrum of Long Operators in N=4 SYM at One Loop
• The Yangian origin of the Grassmannian integral
• Yangians, Grassmannians and T-duality
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• NLO evolution of color dipoles in N=4 SYM
• Integrability of scattering amplitudes in N=4 SUSY
• Superconformal invariants for scattering amplitudes in N=4 SYM theory
• The Four-Loop Dressing Phase of N=4 SYM
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Effective Action for Multi-Regge Processes in QCD
• Conformal Invariance of the Transition Vertex $2\to 4$ gluons
• Symmetries of the N=4 SYM S-matrix
• Matching of the low-x evolution kernels
• NLO Evolution of Color Dipoles in N = 4 SYM
• Dual conformal invariance in the Regge limit

Cited by in corpus (1)

• Dual conformal invariance in the Regge limit