A(2) Toda theory in reduced WZNW framework and the representations of the W algebra

Bajnok, Z.; Palla, L.; Takacs, G.

doi:10.1016/0550-3213(92)90104-J

A(2) Toda theory in reduced WZNW framework and the representations of the W algebra

Feb, 1992

32 pages

Published in:

Nucl.Phys.B 385 (1992) 329-360

Published: 1992

e-Print:

hep-th/9206075 [hep-th]

DOI:

10.1016/0550-3213(92)90104-J

Report number:

ITP-491-BUDAPEST,
ELTE-92081

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Abstract: (Elsevier)

Using the reduced WZNW formulation we analyse the classical W-orbit content of the space of classical solutions of the A 2 Toda theory. We define the quantized Toda field as a periodic primary field of the W-algebra satifying the quantized equations of motion. We show that this local operator can be constructed consistently only in Hilbert space consisting of the representations corresponding to the minimal models of the W-algebra.

Note:

38 pages

field theory: conformal
dimension: 2
Wess-Zumino-Witten model
field theory: Toda
quantization
Hamiltonian formalism
field equations
algebra: W(N)
algebra: representation
linear space: Hilbert space

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