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Journal Article

Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets


Arutyunov,  Gleb
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Arutyunov, G., & Sokatchev, E. (2002). Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets. Nuclear Physics B, 635, 3-32.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-550B-1
We study the structure of the four-point correlation function of the lowest-dimension 1/2 BPS operators (stress-tensor multiplets) in the (2,0) six-dimensional theory. We first discuss the superconformal Ward identities and the group-theoretical restrictions on the corresponding OPE. We show that the general solution of the Ward identities is expressed in terms of a single function of the two conformal cross-ratios ("prepotential"). Using the maximally extended gauged seven-dimensional supergravity, we then compute the four-point amplitude in the supergravity approximation and identify the corresponding prepotential. We analyze the leading terms in the OPE by performing a conformal partial wave expansion and show that they are in agreement with the non-renormalization theorems following from representation theory. The investigation of the (2,0) theory is carried out in close parallel with the familiar four-dimensional [View Image] super-Yang?Mills theory