Numerical determination of the boundary condition changing operators

M.N. Najafi

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 20, 5179-5185

Abstract: A new numerical method to determine the boundary condition changing (bcc) operators in the boundary conformal field theory (BCFT) is introduced. This method is based on a variant of Schramm–Loewner Evolution (SLE), namely SLE(κ,ρ). As a prototype, the Abelian Sandpile Model (ASM) with a sink point on the boundary is considered. Using this method we study the bcc operator corresponding to the sink in the boundary of c=−2 BCFT. It is numerically shown that the conformal dimension of this operator is nearly 0. The most appropriate candidate for this operator is the logarithmic partner of the unity operator, i. e. Ĩ≡:θθ̄: as it has been conjectured theoretically.

Keywords: Bcc operators; Schramm–Loewner Evolution; Conformal field theory (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:20:p:5179-5185

DOI: 10.1016/j.physa.2013.06.020

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