A new rational conformal field theory extension of the fully degenerate W_1+∞^(m)

Abstract

A new Rational Conformal Field Theory extension of the fully degenerate W (m) 1+∞Gerardo Cristofano 1 , Vincenzo Marotta 1 , Giuliano Niccoli 2 AbstractWe found new identities among the Dedekind η-function, the characters of the W m algebra and those of the level 1 affine Lie algebra su(m) 1 . They allow to characterize the Z m -orbifold of the m-component free bosons u(1) Km,p (our theory TM) as an extension of the fully degenerate representations of W (m) 1+∞ . In particular, TM is proven to be a Γ θ -RCFT extension of the chiral fully degenerate W (m) 1+∞ .

The orbifolds of permutation type as physical string systems at multiples of c=26V. Cyclic permutation orbifolds

“…Since all the members of the family are formally associated to the same particle-theoretic contributions, it will be important to further test the provisional forms against other string-theoretic and conformal-field-theoretic intuitions. This includes in particular the β-dependent question whether any of these integrands have (or need to have) a consistent interpretation at the level of characters [7,13,35,36]. In this connection, I mention some special cases of Λ(β), starting with the case which is clearly favored by its simplicity:…”