6d holographic anomaly match as a continuum limit View Full Text


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Article Info

DATE

2016-05

AUTHORS

Stefano Cremonesi, Alessandro Tomasiello

ABSTRACT

An infinite class of analytic AdS7 × S3 solutions has recently been found. The S3 is distorted into a “crescent roll” shape by the presence of D8-branes. These solutions are conjectured to be dual to a class of “linear quivers”, with a large number of gauge groups coupled to (bi-)fundamental matter and tensor fields. In this paper we perform a precise quantitative check of this correspondence, showing that the a Weyl anomalies computed in field theory and gravity agree. In the holographic limit, where the number of gauge groups is large, the field theory result is a quadratic form in the gauge group ranks involving the inverse of the AN Cartan matrix C. The agreement can be understood as a continuum limit, using the fact that C is a lattice analogue of a second derivative. The discrete data of the field theory, summarized by two partitions, become in this limit the continuous functions in the geometry. Conversely, the geometry of the internal space gets discretized at the quantum level to the discrete data of the two partitions. More... »

PAGES

31

References to SciGraph publications

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    DOI

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