The limit of N = (2, 2) superconformal minimal models

Abstract

The limit of families of two-dimensional conformal field theories has recently attracted attention in the context of AdS/CFT dualities. In our work we analyse the limit of N = (2, 2) superconformal minimal models when the central charge approaches c = 3. The limiting theory is a non-rational N = (2, 2) superconformal theory, in which there is a continuum of chiral primary fields. We determine the spectrum of the theory, the three-point functions on the sphere, and the disc one-point functions.

The large level limit of Kazama-Suzuki models

“…(5.12). Note also that the leading exponent of the character χ {α,N } (see (5.12)), 26) confirms the conformal weight for the representation (Λ(α, N ); λ(α)), µ(α) that we determined in (4.8). This gives another evidence that our prescription for the shifts of the conformal weights that we used in section 4.2 is correct.…”

“…If on the other hand one looks at the complete spectrum of conformal weights of primaries, there are many fractional weights, and in the limit the conformal weights that appear even become dense on the positive real line, so that one expects a continuous spectrum. This behaviour is well-known from other limit theories [17,26,[30][31][32][33]. To obtain the spectrum in the limit theory one has to study which fields contribute to some given conformal weight (or better to a small neighbourhood of this conformal weight).…”

Extended higher spin holography and Grassmannian models

“…7 A similar relation between a free boson theory and the λ = N/(N + k) → 0 limit of the coset (1.4) is obtained in [44]. See also [54,55]. 8 For more proper treatment, see appendix C.…”

String theory at the tip of the cigar

“…However, for near extremal k NS5-branes we do. With a different motivation in mind this was already done in [24,25]. In this case, the region between the horizon and the singularity is described by an N = 2 minimal model with c = 3 − 6/k, an SU (2) k /U (1) SCFT (see e.g.…”