Boundaries in free higher derivative conformal field theories

A bstract We consider free higher derivative theories of scalars and Dirac fermions in the presence of a boundary in general dimension. We establish a method for finding consistent conformal boundary conditions in these theories by removing certain boundary primaries from the spectrum. A rich set of...

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Veröffentlicht in:The journal of high energy physics 2023-04, Vol.2023 (4), p.98-54, Article 98
Hauptverfasser: Chalabi, Adam, Herzog, Christopher P., Ray, Krishnendu, Robinson, Brandon, Sisti, Jacopo, Stergiou, Andreas
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Sprache:eng
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Zusammenfassung:A bstract We consider free higher derivative theories of scalars and Dirac fermions in the presence of a boundary in general dimension. We establish a method for finding consistent conformal boundary conditions in these theories by removing certain boundary primaries from the spectrum. A rich set of renormalization group flows between various conformal boundary conditions is revealed, triggered by deformations quadratic in the boundary primaries. We compute the free energy of these theories on a hemisphere, and show that the boundary a -theorem is generally violated along boundary flows as a consequence of bulk non-unitarity. We further characterize the boundary theory by computing the two-point function of the displacement operator.
ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP04(2023)098