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On holography in general background and the boundary effective action from AdS to dS

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Autor(es):
Fichet, Sylvain
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 7, p. 80-pg., 2022-07-19.
Resumo

We study quantum fields on an arbitrary, rigid background with boundary. We derive the action for a scalar in the holographic basis that separates the boundary and bulk degrees of freedom. A relation between Dirichlet and Neumann propagators valid for any background is obtained from this holographic action. As a simple application, we derive an exact formula for the flux of bulk modes emitted from the boundary in a warped background. We also derive a formula for the Casimir pressure on a (d - 1)-brane depending only on the boundary-to-bulk propagators, and apply it in AdS. Turning on couplings and using the holographic basis, we evaluate the one-loop boundary effective action in AdS by means of the heat kernel expansion. We extract anomalous dimensions of single and double trace CFT operators generated by loops of heavy scalars and nonabelian vectors, up to third order in the large squared mass expansion. From the boundary heat kernel coefficients we identify CFT operator mixing and corrections to OPE data, in addition to the radiative generation of local operators. We integrate out nonabelian vector fluctuations in AdS(4,5,6) and obtain the associated holographic Yang-Mills beta functions. Turning to the expanding patch of dS, following recent proposals, we provide a boundary effective action generating the perturbative cosmological correlators using analytical continuation from dS to EAdS. We obtain the "cosmological" heat kernel coefficients in the scalar case and work out the divergent part of the dS(4) effective action which renormalizes the cosmological correlators. We find that bulk masses and wavefunction can logarithmically run as a result of the dS(4) curvature, and that operators on the late time boundary are radiatively generated. More developments are needed to extract all one-loop information from the cosmological effective action. (AU)

Processo FAPESP: 18/11721-4 - Física das Partículas Além do Modelo Padrão: Estruturas curvadas, Camaleões e Holografia
Beneficiário:Sylvain Pierre Joseph Fichet
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
Processo FAPESP: 14/21477-2 - Física de partículas na escala electro-fraca: modelos e interpretações
Beneficiário:Sylvain Pierre Joseph Fichet
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado