ar X iv : h ep - t h / 98 02 20 1 v 1 2 7 Fe b 19 98 On the Classification of Real Forms of Non - Abelian Toda Theories and W - algebras
نویسندگان
چکیده
We consider conformal non-Abelian Toda theories obtained by hamiltonian reduction from Wess-Zumino-Witten models based on general real Lie groups. We study in detail the possible choices of reality conditions which can be imposed on the WZW or Toda fields and prove correspondences with sl(2, R) embeddings into real Lie algebras and with the possible real forms of the associated W-algebras. We devise a a method for finding all real embeddings which can be obtained from a given embedding of sl(2, C) into a complex Lie algebra. We then apply this to give a complete classification of real embeddings which are principal in some simple regular subalgebra of a classical Lie algebra.
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ar X iv : h ep - t h / 98 09 02 0 v 1 2 S ep 1 99 8 On Gauge Invariance and Ward Identities for the Wilsonian
We investigate non-Abelian gauge theories within a Wilsonian Renormalisation Group approach. The cut-off term inherent in this approach leads to a modified Ward identity (mWI). It is shown that this mWI is compatible with the flow and that the full effective action satisfies the usual Ward identity (WI). The universal 1-loop β-function is derived within this approach and the extension to the 2-...
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We investigate non-Abelian gauge theories within a Wilsonian Renormalisation Group approach. The cut-off term inherent in this approach leads to a modified Ward identity (mWI). It is shown that this mWI is compatible with the flow and that the full effective action satisfies the usual Ward identity (WI). The universal 1-loop β-function is derived within this approach and the extension to the 2-...
متن کاملar X iv : h ep - l at / 9 80 20 29 v 1 2 0 Fe b 19 98 DESY 98 - 017 February 2008 ADVANCED LATTICE
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ar X iv : h ep - t h / 96 02 14 9 v 1 2 7 Fe b 19 96 UAHEP - 9603 DSFNA - T - 9606 ESI - 310 February 1996
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