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Gravitational Correspondence of Two Types of Superconformal Anomaly

2006/04/23 by W.F. Chen, Chen, W. F.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.hep-th/0604159

openalex publication_date 2006/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a classical conformal invariant supersymmetric gauge theory, the chiral R-symmetry current, the supersymmetry current and the energy-momentum tensor constitute a supercurrent multiplet. There are two different superconformal anoamly multiplets in four-dimensional supersymmetric gauge theories, one originating from the supersymmetric gauge dynamics and the consequent nonvanishing β-function, and the other one coming from the coupling of the supercurrent multiplet to the external supergravity multiplet with non-trivial topology. We emphasize that in the gauge/gravity dual correspondence these two types of superconformal anomaly multiplets have distinct reflections in the classical supergravity: the anomaly multiplet due to the supersymmetry gauge dynamics is dual to the spontaneous symmetry breaking and the consequent super-Higgs effect in AdS5 bulk supergravity, while the anomaly multiplet originating from the non-trivial topology of external conformal supergravity mutiplet is a boundary effects of the AdS5 space.

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