12 déc 2017 · Now we want to study the spectrum of primary fields of the free boson conformal field theory (a) Show that the normal ordered operators Vα(z,z)
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namely the “AdS/CFT-correspondence”, where also higher dimensional target space this action is nothing but the action of a free boson in two dimensions
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c is called the central charge For the free boson, as we have seen, c = 1 Example II: The Free Fermion CFT We take the Euclidean action of a real ( Majorana)
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So in essence, all 'particles' in a CFT are massless For free theories example of such a theory: the free field massless boson in two dimensions The idea is to
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In the following we discuss them briefly in this order Free bosons The CFT of a free massless boson is realised by the action S = 1 8π
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In the last section, we have described the boundaries for the free boson CFT implicitly via the boundary conditions for the fields However, in an abstract CFT
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A conformal field theory (CFT) is a field theory which is invariant under these transfor- mations Firstly, let's just check that this free scalar field is actually conformal In particular, 4 3 2 An Aside: No Goldstone Bosons in Two Dimensions
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will focus on: whenever I say CFT, I mean those in two or 1+1 dimension However, A free massless scalar boson φ(x, y) in two dimensions has partition
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12 déc 2017 · Now we want to study the spectrum of primary fields of the free boson conformal field theory (a) Show that the normal ordered operators Vα(z,z)
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