Critical Boundary Sine-Gordon Revisited

dc.creatorHasselfield, M.
dc.creatorLee, Taejin
dc.creatorSemenoff, G. W.
dc.creatorStamp, P. C. E.
dc.date2005-12-18
dc.date2006-01-15
dc.date.accessioned2026-07-07T10:45:31Z
dc.date.available2026-07-07T10:45:31Z
dc.descriptionWe 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.[22]. 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 symmmetries for which they are the appropriate boundary states.
dc.description33 pages, 1 figure, references added, typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0512219
dc.identifierhttp://arxiv.org/abs/hep-th/0512219
dc.identifierAnnalsPhys.321:2849-2875,2006
dc.identifierdoi:10.1016/j.aop.2006.02.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182938
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.titleCritical Boundary Sine-Gordon Revisited
dc.typetext

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