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Conformal anomaly of Wilson surface observables - a field theoretical computation
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We make an exact field theoretical computation of the conformal anomaly for two-dimensional submanifold observables. By including a scalar field in the definition for the Wilson surface, as appropriate for a spontaneously broken A_1 theory, we get a conformal anomaly which is such that N times it is equal to the anomaly that was computed in hep-th/9901021 in the large N limit and which relied on the AdS-CFT correspondence. We also show how the spherical surface observable can be expressed as a conformal anomaly.
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Wilson surface correlator in AdS/CFT
A membrane-minimal-surface calculation in AdS7 predicts a first-order Gross-Ooguri phase transition between two fundamental spherical Wilson surfaces at separation L*/R_b ≈ 0.5843.
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