Critical boundary sine-Gordon revisited |
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Authors: | M Hasselfield Taejin Lee GW Semenoff PCE Stamp |
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Institution: | aPacific Institute for Theoretical Physics, Department of Physics and Astronomy, University of British Columbia, 6224 Agricultural Road, Vancouver, BC, Canada V6T 1Z1;bDepartment of Physics, Kangwon University, Chuncheon 200-701, Republic of Korea;cAsia Pacific Center for Theoretical Physics, Pohang 790-784, Republic of Korea;dInstitute des Hautes Études Scientifiques, Le Bois-Marie 35, F-91440 Bures-sur-Yvette, France |
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Abstract: | We revisit the exact solution of the two space-time dimensional quantum field theory of a free massless boson with a periodic boundary interaction and self-dual period. We analyze the model by using a mapping to free fermions with a boundary mass term originally suggested in Ref. J. Polchinski, L. Thorlacius, Phys. Rev. D 50 (1994) 622]. We find that the entire SL (2, C) family of boundary states of a single boson are boundary sine-Gordon states and we derive a simple explicit expression for the boundary state in fermion variables and as a function of sine-Gordon coupling constants. We use this expression to compute the partition function. We observe that the solution of the model has a strong–weak coupling generalization of T-duality. We then examine a class of recently discovered conformal boundary states for compact bosons with radii which are rational numbers times the self-dual radius. These have simple expression in fermion variables. We postulate sine-Gordon-like field theories with discrete gauge symmetries for which they are the appropriate boundary states. |
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