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Conformal invariance in quantum field theory, exactly solvable models
of conformal field theory, second order phase transitions.
Main results:
Critical indices in conformally invariant field theory, Green functions
of the conserved operators, exact solutions of conformal models in space-time
dimensions D>4, Ward identities for Green functions of the current
and energy-momentum tensor, closed differential equations for Green
functions.
Current interests:
Exact solutions of D=4 conformal invariant field models, operator extension
of central charge for D>2, generalized Ward identities for Green function
with two energy-momentum tensors.
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