논문KCI 등재
Conformal field theory of dipolar SLE(4) with mixed boundary condition
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초록
We develop a version of dipolar conformal field theory in a simply connected domain with the Dirichlet-Neumann boundary condition and central charge one. We prove that all correlation functions of the fields in the OPE family of Gaussian free field with a certain boundary value are martingale-observables for dipolar SLE(4).
Abstract
We develop a version of dipolar conformal field theory in a simply connected domain with the Dirichlet-Neumann boundary condition and central charge one. We prove that all correlation functions of the fields in the OPE family of Gaussian free field with a certain boundary value are martingale-observables for dipolar SLE(4).
참고문헌 (9)
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- M. Bauer, "CFTs of SLEs: the radial case", Phys. Lett. B, 583(3-4), pp.324~330 (2004)
- J. Cardy, "Calogero-Sutherland model and bulk-boundary correlations in conformal field theory", Phys. Lett. B, 582(1-2), pp.121~126 (2004)
- N.-G. Kang, "Gaussian free field and conformal field theory", ~ (2011)
- N.-G. Kang, "Radial SLE martingale-observables", ~ (2012)
- N.-G. Kang, "Conformal field theory of dipolar SLE with the Dirichlet boundary condition", ~ (2013)
- I. Rushkin, "Critical curves in confor- mally invariant statistical systems", J. Phys. A, 40(9), pp.2165~2195 (2007)
- D. Zhan, "Random Loewner Chains in Riemann Surfaces", 박사, pp.2004
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