New meromorphic CFTs from cosets

@article{Das2022NewMC,
  title={New meromorphic CFTs from cosets},
  author={Arpit Das and Chethan N. Gowdigere and Sunil Mukhi},
  journal={Journal of High Energy Physics},
  year={2022},
  volume={2022}
}
In recent years it has been understood that new rational CFTs can be discovered by applying the coset construction to meromorphic CFTs. Here we turn this approach around and show that the coset construction, together with the classification of meromorphic CFT with c ≤ 24, can be used to predict the existence of new meromorphic CFTs with c ≥ 32 whose Kac-Moody algebras are non-simply-laced and/or at levels greater than 1. This implies they are non-lattice theories. Using three-character coset… 

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References

SHOWING 1-10 OF 39 REFERENCES

Curiosities above c = 24

Two-dimensional rational CFT are characterised by an integer \ellℓ, related to the number of zeroes of the Wronskian of the characters. For two-character RCFT’s with \ell<6ℓ<6 there is a finite

Cosets of meromorphic CFTs and modular differential equations

A bstractSome relations between families of two-character CFTs are explained using a slightly generalised coset construction, and the underlying theories (whose existence was only conjectured based

Monstrous moonshine and monstrous Lie superalgebras

We prove Conway and Norton's moonshine conjectures for the infinite dimensional representation of the monster simple group constructed by Frenkel, Lepowsky and Meurman. To do this we use the no-ghost

Bootstrapping fermionic rational CFTs with three characters

Recently, the modular linear differential equation (MLDE) for level-two congruence subgroups Γ θ , Γ 0 (2) and Γ 0 (2) of SL 2 (ℤ) was developed and used to classify the fermionic rational conformal

Towards a classification of two-character rational conformal field theories

A bstractWe provide a simple and complete construction of infinite families of consistent, modular-covariant pairs of characters satisfying the basic requirements to describe twocharacter RCFT. These

Hecke relations in rational conformal field theory

A bstractWe define Hecke operators on vector-valued modular forms of the type that appear as characters of rational conformal field theories (RCFTs). These operators extend the previously studied

Holomorphic modular bootstrap revisited

In this work we revisit the “holomorphic modular bootstrap”, i.e. the classification of rational conformal field theories via an analysis of the modular differential equations satisfied by their

Meromorphic c = 24 Conformal Field Theories

. Modular invariant conformal field theories with just one primary field and central charge c = 24 are considered. It has been shown previously that if the chiral algebra of such a theory contains

Rational CFT with three characters: the quasi-character approach

Quasi-characters are vector-valued modular functions having an integral, but not necessarily positive, q-expansion. Using modular differential equations, a complete classification has been provided