Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-01-10
Nucl.Phys. B435 (1995) 703-734
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, LaTeX, to appear in Nuclear Physics B.
Scientific paper
10.1016/0550-3213(94)00560-2
The space of local operators in massive deformations of conformal field theories is analysed. For several model systems it is shown that one can define chiral sectors in the theory, such that the chiral field content is in a one-to-one correspondence with that of the underlying conformal field theory. The full space of operators consists of the descendent spaces of all scalar fields. If the theory contains asymptotic states which satisfy generalised statistics, the form factor equations admit in addition also solutions corresponding to the descendent spaces of the para-fermionic operators of the same spin as the asymptotic states. The derivation of these results uses $q$-sum expressions for the characters and $q$-difference equations used in proving Rogers-Ramanujan type identities.
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