Coupling of Gaussian free field with general slit SLE

التفاصيل البيبلوغرافية
العنوان: Coupling of Gaussian free field with general slit SLE
المؤلفون: Tochin, Alexey, Vasil'ev, Alexander
سنة النشر: 2015
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Probability, Mathematical Physics, 30C35, 34M99, 60D05, 60G57, 60J67
الوصف: We consider a coupling of the Gaussian free field with slit holomorphic stochastic flows, called ($\delta,\sigma$)-SLE, which contains known SLE processes (chordal, radial, and dipolar) as particular cases. In physical terms, we study a free boundary conformal field theory with one scalar bosonic field, where Green's function is assumed to have some general regular harmonic part. We establish which of these models allow coupling with ($\delta,\sigma$)-SLE, or equivalently, when the correlation functions induce local ($\delta,\sigma$)-SLE martingales (martingale observables).
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1506.06861
رقم الانضمام: edsarx.1506.06861
قاعدة البيانات: arXiv