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Secondary fields and partial wave expansion. Self consistency conditions in a conformal model

Autor: Zaikin, V. N.

A nontrivial conformally invariant model is obtained via generalization the method of obtaining conformally invariant models in $2D$ Euclidean space to the Euclidean space with dimension $D>2$. This method was previously developed by E.S. Fradkin and

Externí odkaz: http://arxiv.org/abs/1711.00272

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Secondary Fields in D>2 Conformal Theories

Autor: Zaikin, V. N., Palchik, M. Ya.

We consider the secondary fields in $D$-dimensional space, $D\ge3$, generated by the non-abelian current and energy-momentum tensor. These fields appear in the operator product expansions $j^{a}_\mu(x)\phi(0)$ and $T_{\mu\nu}(x)\phi(0)$. The secondar

Externí odkaz: http://arxiv.org/abs/hep-th/0509103

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On Sp(2M) Invariant Green Functions

Autor: Vasiliev, M. A., Zaikin, V. N.

Publikováno v: Phys.Lett. B587 (2004) 225-229

Explicit form of two-point and three-point Sp(2M) invariant Green functions is found.
Comment: 7 pages

Externí odkaz: http://arxiv.org/abs/hep-th/0312244

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Conformal Higher Spin Currents in Any Dimension and AdS/CFT Correspondence

Autor: Konstein, S. E., Vasiliev, M. A., Zaikin, V. N.

Publikováno v: JHEP 0012 (2000) 018

The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented. It is shown that, analogously to the relationship between usual conformal and AdS symmetries, the set of the conformal higher spin sy

Externí odkaz: http://arxiv.org/abs/hep-th/0010239

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