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 |
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Format: | Artikel |
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. |
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ISSN: | 1029-8479 1126-6708 1029-8479 |
DOI: | 10.1007/JHEP04(2023)098 |