Higher-spin Current Multiplets in Operator-product Expansions
نویسنده
چکیده
Various formulas for currents with arbitrary spin are worked out in general space-time dimension, in the free field limit and, at the bare level, in presence of interactions. As the n-dimensional generalization of the (conformal) vector field, the (n/2 − 1)-form is used. The two-point functions and the higher-spin central charges are evaluated at one loop. As an application, the higher-spin hierarchies generated by the stress-tensor operator-product expansion are computed in supersymmetric theories. The results exhibit an interesting universality. CERN-TH/99-183 June, 1999
منابع مشابه
Cern-th/99-183 Higher-spin Current Multiplets in Operator-product Expansions
Various formulas for currents with arbitrary spin are worked out in general space-time dimension, in the free field limit and, at the bare level, in presence of interactions. As the n-dimensional generalization of the (conformal) vector field, the (n/2 − 1)-form is used. The two-point functions and the higher-spin central charges are evaluated at one loop. As an application, the higher-spin hie...
متن کاملThe N=4 Quantum Conformal Algebra
We determine the spectrum of currents generated by the operator product expansion of the energy-momentum tensor in N=4 super-symmetric Yang-Mills theory. Up to the regular terms and in addition to the multiplet of the stress tensor, three current multiplets appear, Σ, Ξ and Υ, starting with spin 0, 2 and 4, respectively. The OPE’s of these new currents generate an infinite tower of current mult...
متن کاملA Cubic Dirac Operator and the Emergence of Euler Number Multiplets of Representations for Equal Rank Subgroups
0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 447 1. A Clifford algebra criterion for (ν,Bg) to be of Lie type . . . . . . . . . . . . . . . . . . 455 2. The cubic Dirac operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 471 3. Tensoring with the spin representat...
متن کاملOn the Current of Chiral Fermions of Higher Rank
The current of the bc-system of higher rank introduced recently is examined. Its one-point function is described geometrically and some local computations for the operator product expansions are made.
متن کاملHigher - twist Effects in Spin Structure Functions
We discuss the QCD effects of the higher-twist operators in the nucleon spin-dependent structure functions measured by the polarized deep inelastic leptoproduction. We particularly study the renormalization of the twist-3 and twist-4 operators within the framework of operator product expansions and renormalization group methods in perturbative QCD. Emphasis will be placed on the role of the ope...
متن کامل