On the boundary Ising model with disorder operators

TY - JOUR

T1 - On the boundary Ising model with disorder operators

AU - Watts, G M T

PY - 2001/3/5

Y1 - 2001/3/5

N2 - We extend the well-known method of calculating hulk correlation functions of the conformal Ising model via bosonisation to situations with boundaries. Oshikawa and Affleck have found the boundary states of two decoupled Ising models in terms of the orbifold of a single free boson compactified on a circle of radius r = 1; we adapt their results to include disorder operators. Using these boundary states we calculate the expectation value of a single disorder field on a cylinder with free boundary conditions and show that in the appropriate limits we recover the standard and frustrated partition functions. We also show how to calculate Ising correlation functions on the upper half plane. (C) 2001 Elsevier Science B.V. All rights reserved.

AB - We extend the well-known method of calculating hulk correlation functions of the conformal Ising model via bosonisation to situations with boundaries. Oshikawa and Affleck have found the boundary states of two decoupled Ising models in terms of the orbifold of a single free boson compactified on a circle of radius r = 1; we adapt their results to include disorder operators. Using these boundary states we calculate the expectation value of a single disorder field on a cylinder with free boundary conditions and show that in the appropriate limits we recover the standard and frustrated partition functions. We also show how to calculate Ising correlation functions on the upper half plane. (C) 2001 Elsevier Science B.V. All rights reserved.

UR - http://www.scopus.com/inward/record.url?scp=0346657491&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(00)00720-3

DO - 10.1016/S0550-3213(00)00720-3

M3 - Article

VL - 596

SP - 513

EP - 524

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -