Conformal field theory of dipolar SLE with the Dirichlet boundary condition

DOI10.1007/s13324-013-0061-xzbMath1288.60097arXiv1307.4424OpenAlexW1965071768MaRDI QIDQ390268

Nam-Gyu Kang, Hee-Joon Tak

Publication date: 23 January 2014

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4424

zbMATH Keywords

Dirichlet boundary conditionNeumann boundary conditionWard identitiescentral charge modificationconformal Fock space fieldsdipolar conformal field theory (CFT)dipolar Schramm-Loewner evolution (SLE)martingale observablesoperator product expansions (OPE)rooted multi-vertex fieldsvertex fieldsvertex observablesVirasoro fieldWard functionals

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) General theory of conformal mappings (30C35) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (3)

Coupling of Gaussian Free Field with General Slit SLE ⋮ Slit holomorphic stochastic flows and Gaussian free field ⋮ Scaling limits of random normal matrix processes at singular boundary points

Cites Work

• Calogero-Sutherland model and bulk-boundary correlations in conformal field theory
• CFTs of SLEs: the radial case
• Duality of chordal SLE
• Conformal field theories of stochastic Loewner evolutions
• Conformal restriction, highest-weight representations and SLE
• Dominos and the Gaussian free field.
• SLE coordinate changes
• CONFORMAL FIELD THEORY OF DIPOLAR SLE(4) WITH MIXED BOUNDARY CONDITION
• Critical curves in conformally invariant statistical systems
• Conformal restriction: The chordal case

This page was built for publication: Conformal field theory of dipolar SLE with the Dirichlet boundary condition