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Holographic renormalization group flows: the view from ten dimensions

Nicholas P Warner

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The holographic description of supersymmetric renormalization group flows in supergravity is considered from both the five-dimensional and ten-dimensional perspectives. An Script N = 1* flow of Script N = 4 super-Yang-Mills is considered in detail, and the infrared limit is studied in terms of IIB supergravity in ten dimensions. Depending on the vevs and the direction of approach to the core, the supergravity solution can be interpreted in terms of either 5- or 7-branes. Generally, it is shown that it is essential to use the ten-dimensional description in order to study the infrared asymptotics in supergravity.


PACS

04.65.+e Supergravity

04.50.-h Higher-dimensional gravity and other theories of gravity

11.15.-q Gauge field theories

11.30.Pb Supersymmetry

MSC

81T17 Renormalization group methods

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

83E50 Supergravity

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 16 (21 August 2001)

Received 14 November 2000

Published 1 August 2001



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