# Z2 x Z2 graded superconformal algebra of parafermionic type

@article{Noyvert2006Z2XZ, title={Z2 x Z2 graded superconformal algebra of parafermionic type}, author={Boris Noyvert}, journal={arXiv: High Energy Physics - Theory}, year={2006} }

We present a new conformal algebra. It is Z2 x Z2 graded and generated by three N=1 superconformal algebras coupled to each other by nontrivial relations of parafermionic type. The representation theory and unitary models of the algebra are briefly discussed. We also conjecture the existence of infinite series of parafermionic algebras containing many N=1 or N=2 superconformal subalgebras.

## References

SHOWING 1-10 OF 12 REFERENCES

### Algebraic approach to parafermionic conformal field theories

- Physics
- 2007

Parafermionic conformal field theories are considered on a purely algebraic basis. The generalized Jacobi type identity is presented. Systems of free fermions coupled to each other by nontrivial…

### New conformal field theories associated with lie algebras and their partition functions

- Mathematics
- 1987

### Representations of the algebra of “parafermion currents” of spin 4/3 in two-dimensional conformal field theory. Minimal models and the tricritical potts Z3 model

- Mathematics
- 1987

One of the main tasks of the theory of phase transitions of the second kind is the classification of all possible types of critical behavior together with calculation of the corresponding critical…

### Generalized Vertex Algebras

- Mathematics
- 2006

We give a short introduction to generalized vertex algebras, using the notion of polylocal fields. We construct a generalized vertex algebra associated to a vector space h with a symmetric bilinear…

### Generalized vertex algebras and relative vertex operators

- Mathematics
- 1993

1. Introduction. 2. The setting. 3. Relative untwisted vertex operators. 4. Quotient vertex operators. 5. A Jacobi identity for relative untwisted vertex operators. 6. Generalized vertex operator…

### Disorder Fields in Two-Dimensional Conformal Quantum Field Theory and N=2 Extended Supersymmetry

- Physics
- 1986

### Dual Theory for Free Fermions

- Physics
- 1971

A wave equation for free fermions is proposed based on the structure of the dual theory for bosons. Its formal properties preserve the role played by the Virasoro algebra. Additional Ward-like…