Boundary States for a Free Boson Defined on Finite Geometries
نویسندگان
چکیده
Langlands recently constructed a map φ → |x(φ)〉 that factorizes the partition function of a free boson on a cylinder with boundary condition given by two arbitrary functions φB1 and φB2 in the form 〈x(φB1)|q00|x(φB2)〉. We rewrite |x(φ)〉 in a compact form, getting rid of technical assumptions necessary in his construction. This simpler form allows us to show explicitly that the map φ → |x(φ)〉 commutes with conformal transformations preserving the boundary and the reality condition on the field φ. Short Title: Boundary States for a Free Boson PACS numbers: 11.25.Hf, 11.30.-j, 05.30.Jp . Keyworks: Boundary states, free boson, free boson on a cylinder, conformal field theory, conformal invariance. Email: [email protected] Email: [email protected]
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