Superconformal Invariants or How to Relate Four - point AdS Amplitudes
نویسندگان
چکیده
Using the form of N = 2 superconformal invariants we derive the explicit relation between the bottom and top components of the correlator of four stress-tensor multiplets in N = 4 Super Yang-Mills. The result is given in terms of an eighth order differential operator acting on the function of two variables which characterises these correlators. It allows us to show a non-trivial consistency relation between the known results for the corresponding supergravity amplitudes on AdS 5 .
منابع مشابه
Superconformal Symmetry and Correlation Functions
Four-dimensional N -extended superconformal symmetry and correlation functions of quasi-primary superfields are studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms of supertranslations, dilations, Lorentz transformations, R-symmetry transformations and special superconformal transformations. In general, due to the invar...
متن کاملFour-Manifold Geography and Superconformal Symmetry
A compact oriented 4-manifold is defined to be of “superconformal simple type” if certain polynomials in the basic classes (constructed using the Seiberg-Witten invariants) vanish identically. We show that all known 4-manifolds of b+2 > 1 are of superconformal simple type, and that the numerical invariants of 4-manifolds of superconformal simple type satisfy a generalization of the Noether ineq...
متن کاملSuperconformal Ward Identities and Their Solution
Superconformal Ward identities are derived for the the four point functions of chiral primary BPS operators for N = 2, 4 superconformal symmetry in four dimensions. Manipulations of arbitrary tensorial fields are simplified by introducing a null vector so that the four point functions depend on two internal R-symmetry invariants as well as two conformal invariants. The solutions of these identi...
متن کاملAll tree - level amplitudes in N = 4 SYM
We give an explicit formula for all tree amplitudes in N = 4 SYM, derived by solving the recently presented supersymmetric tree-level recursion relations. The result is given in a compact, manifestly supersymmetric form and we show how to extract from it all possible component amplitudes for an arbitrary number of external particles and any arrangement of external particles and helicities. We f...
متن کاملSuperconformal Symmetry in Four Dimensional Quantum Field Theory
The implications of N = 1 superconformal symmetry for four dimensional quantum field theories are studied. Superconformal covariant expressions for two and three point functions of quasi-primary superfields of arbitrary spin are found and connected with the operator product expansion. The general formulae are specialised to cases involving a scalar superfield L, which contains global symmetry c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006