Schramm--Loewner-evolution-type growth processes corresponding to Wess--Zumino--Witten theories

Abstract

A group theoretical formulation of Schramm--Loewner-evolution-type growth processes corresponding to Wess--Zumino--Witten theories is developed that makes it possible to construct stochastic differential equations associated with more general null vectors than the ones considered in the most fundamental example in [Alekseev et al., Lett. Math. Phys. 97, 243-261 (2011)]. Also given are examples of Schramm--Loewner-evolution-type growth processes associated with null vectors of conformal weight $4$ in the basic representations of ${\widehat{\mathfrak{sl}}}_2$ and ${\widehat{\mathfrak{sl}}}_3$.

15pages, to appear in Lett. Math. Phys

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Cited by in corpus (2)

• Note on Schramm-Loewner evolution for superconformal algebras
• Coset construction of Virasoro minimal models and coupling of Wess-Zumino-Witten theory with Schramm-Loewner evolution