# Coset construction and character sum rules for the doubly extended N=4 superconformal algebras

@article{Petersen1993CosetCA, title={Coset construction and character sum rules for the doubly extended N=4 superconformal algebras}, author={Jens Lyng Petersen and Anne Taormina}, journal={Nuclear Physics}, year={1993}, volume={398}, pages={459-495} }

## 6 Citations

Towards a classification of modular invariant partition functions for theories based onN=4 superconformal algebras

- Mathematics
- 1993

The representation theory of the doubly extended N=4 superconformal algebra is reviewed. The modular properties of the corresponding characters can be derived, using characters sumrules for coset…

Resolutions and characters of irreducible representations of the N = 2 superconformal algebra

- Physics, Mathematics
- 1998

Supersymmetric sigma models and their indices

- Physics
- 2018

Supersymmetric indices for sigma models are known to compute topological invariants of the target space on which the sigma model is built. In the case where the target space is a K3 surface, the…

sℓ(2)−4 WZW MODEL AS AN (N=4)-SUPERSYMMETRIC BOSONIC STRING WITH c=−2 MATTER

- Physics
- 1996

We consider the sl(2) current algebra at level k=−4 when the sl(2) BRST operator is nilpotent. We formulate a spectral sequence converging to the cohomology of this BRST operator. At the second term…

New identities between unitary minimal Virasoro characters

- Mathematics, Physics
- 1994

AbstractTwo sets of identities between unitary minimal Virasoro characters at levelsm=3, 4, 5 are presented and proven. The first identity suggests a connection between the Ising and the tricritical…

Higher level appell functions, modular transformations and non-unitary characters

- Mathematics
- 2003

In this thesis, we firstly extend elements and periodicity properties of the theta function theory to functions that represent a wider domain of symmetries and properties, graded with different…

## References

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Modular invariant partition functions for the doubly extended N = 4 superconformal algebras

- Physics
- 1992

CHARACTER FORMULAS FOR COSET N=2 SUPERCONFORMAL THEORIES

- Mathematics
- 1992

Given a hermitian symmetric space G/H×U(1) (HSS) one can interpret the coset model G×G/G with central charge c=0 as the twisted version of N=2 HSS superconformal models. The states with zero…

Characters of the N = 4 superconformal algebra with two central extensions (II). Massless representations

- Physics
- 1990

Abstract We complete our programme of deriving characters of the N = 4 algebra A γ , containing two SU(2) Kac-Moody subalgebras, by treating the complications arising for massless representations. We…

Free-field representations and screening operators for the N = 4 doubly extended superconformal algebras

- Physics
- 1992

A new class of superconformal sigma models with the Wess-Zumino action

- Physics
- 1988

Abstract We construct nonlinear sigma models for infinite-dimensional N -extended D = 2 superconformal symmetries (of the type ( N , N )). These are classically integrable and naturally incorporate…