## 17 Citations

### Note on stochastic Löwner evolutions and logarithmic conformal field theory

- Mathematics
- 2004

It is discussed how stochastic evolutions may be linked to logarithmic conformal field theory. This introduces an extension of the stochastic Lowner evolutions. Based on the existence of a…

### Note on stochastic Löwner evolutions and logarithmic conformal field theory

- Mathematics
- 2004

It is discussed how stochastic evolutions may be linked to logarithmic conformal field theory. This introduces an extension of the stochastic Löwner evolutions. Based on the existence of a…

### Note on SLE and logarithmic CFT

- Mathematics
- 2004

It is discussed how stochastic evolutions may be linked to logarithmic conformal field theory. This introduces an extension of the stochastic Loewner evolutions. Based on the existence of a…

### Aspects of logarithmic conformal field theory

- Mathematics
- 2005

In this thesis we consider various aspects of logarithmic conformal field theories (LCFTs). After recalling some important definitions and relations of (logarithmic) conformal field theories we study…

### Schramm–Loewner evolution with Lie superalgebra symmetry

- MathematicsInternational Journal of Modern Physics A
- 2018

We propose a generalization of Schramm–Loewner evolution (SLE) that has internal degrees of freedom described by an affine Lie superalgebra. We give a general formulation of SLE corresponding to…

### SLE-type growth processes corresponding to Wess-Zumino-Witten theories

- Mathematics
- 2017

We develop a group theoretical formulation of SLE-type growth processes corresponding to Wess-Zumino-Witten theories, which makes it possible to construct stochastic differential equations associated…

### Stochastic Löwner evolution as an approach to conformal field theory

- Mathematics
- 2016

The main focus on this work lies on the relationship between two-dimensional boundary Conformal Field Theories (bCFTs) and Schramm-Löwner Evolutions (SLEs) as motivated by their connection to the…

### SLE local martingales in logarithmic representations

- Mathematics
- 2009

A space of local martingales of SLE-type growth processes forms a representation of Virasoro algebra, but apart from a few simplest cases, not much is known about this representation. The purpose of…

### On SU(2) Wess-Zumino-Witten models and stochastic evolutions

- Mathematics
- 2004

It is discussed how stochastic evolutions may be connected to SU(2) Wess-Zumino-Witten models. Transformations of primary fields are generated by the Virasoro group and an affine extension of the Lie…

### q-Deformed Loewner Evolution

- Mathematics
- 2013

The Loewner equation, in its stochastic incarnation introduced by Schramm, is an insightful method for the description of critical random curves and interfaces in two-dimensional statistical…

## References

SHOWING 1-10 OF 29 REFERENCES

### Conformal Restriction, Highest-Weight Representations and SLE

- Mathematics
- 2003

AbstractWe show how to relate Schramm-Loewner Evolutions (SLE) to highest-weight representations of infinite-dimensional Lie algebras that are singular at level two, using the conformal restriction…

### Use of Nilpotent weights in Logarithmic Conformal Field Theories

- Mathematics
- 2002

We show that logarithmic conformal field theories may be derived using nilpotent scale transformation. Using such nilpotent weights we derive properties of LCFT's, such as two and three point…