Conformal anomaly of Wilson surface observables - a field theoretical computation
Author(s) -
Andreas Gustavsson
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/07/074
Subject(s) - conformal anomaly , observable , anomaly (physics) , submanifold , conformal map , scalar field , physics , computation , conformal field theory , surface (topology) , scalar (mathematics) , mathematical physics , field (mathematics) , mathematics , quantum mechanics , geometry , mathematical analysis , pure mathematics , algorithm
We make an exact field theoretical computation of the conformal anomaly fortwo-dimensional submanifold observables. By including a scalar field in thedefinition for the Wilson surface, as appropriate for a spontaneously brokenA_1 theory, we get a conformal anomaly which is such that N times it is equalto the anomaly that was computed in hep-th/9901021 in the large N limit andwhich relied on the AdS-CFT correspondence. We also show how the sphericalsurface observable can be expressed as a conformal anomaly.Comment: 18 pages, V3: an `i' dropped in the Wilson surface, overall normalization and misprints corrected, V4: overall normalization factor corrected, references adde
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