The geometry of the limit of N=2 minimal models

Abstract

We consider the limit of two-dimensional N=(2,2) superconformal minimal models when the central charge approaches c=3. Starting from a geometric description as non-linear sigma models, we show that one can obtain two different limit theories. One is the free theory of two bosons and two fermions, the other one is a continuous orbifold thereof. We substantiate this claim by detailed conformal field theory computations.

35 pages, 3 figures; v2 minor corrections, version to be published in J. Phys. A

References in corpus (4)

• Minimal Model Holography
• Duality in N=2 minimal model holography
• The Large N 't Hooft Limit of Kazama-Suzuki Model
• Boundary conditions in Toda theories and minimal models

Cited by in corpus (14)

• Higher Spins & Strings
• String Theory as a Higher Spin Theory
• N=1 supersymmetric higher spin holography on AdS_3
• String theory at the tip of the cigar
• Three point functions in higher spin AdS_3 supergravity
• Smoothed Transitions in Higher Spin AdS Gravity
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• The Continuous Orbifold of N=2 Minimal Model Holography
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• The symmetric orbifold of N=2 minimal models
• Aspects of Higher-Spin Theory with Fermions
• Limit theories and continuous orbifolds
• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level
• The large level limit of Kazama-Suzuki models