Points, Lines, and Surfaces at Criticality by Edoardo Lauria

Author:Edoardo Lauria
Language: eng
Format: epub, pdf
ISBN: 9783030257309
Publisher: Springer International Publishing

(3.152)

The displacement operator is (up to a sign)

(3.153)

Since there are four operators of dimension 2 and one gluing condition, there are other two dimension 2 operators on the interface. One of them might be taken to be , the boundary stress-tensor for the folded theory, which is also, up to a factor 2, the displacement for the folded theory. Notice that, unless , this operator is not orthogonal to . The coefficient of the displacement two-point function is

(3.154)

where the inequality holds in a unitary theory. We can actually obtain a stronger lower bound and an upper bound for by considering the matrix of two-point functions of all the dimension 2 fields at our disposal. We go to the folded picture and denote:

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