Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-18
AnnalsPhys.321:2849-2875,2006
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, 1 figure, references added, typos corrected
Scientific paper
10.1016/j.aop.2006.02.006
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.[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.
Hasselfield Matthew
Lee Taejin
Semenoff Gordon W.
Stamp Philip C. E.
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