Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP02(2011)041
Keywords
Brane Dynamics in Gauge Theories; Supersymmetric gauge theory; Duality in Gauge Field Theories; AdS-CFT Correspondence
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Funding
- Israel-U.S. Binational Science Foundation
- Israel Science Foundation [1665/10]
- German Israel Project Cooperation [DIP H52]
- Minerva foundation
- Federal German Ministry for Education and Research
- US National Science Foundation [PHY05-55669, PHY08-55415]
- University of California
- STFC
- Direct For Mathematical & Physical Scien
- Division Of Physics [855415] Funding Source: National Science Foundation
- Science and Technology Facilities Council [ST/J000426/1, ST/G000433/1] Funding Source: researchfish
- STFC [ST/G000433/1, ST/J000426/1] Funding Source: UKRI
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In this paper we discuss the dynamics of conformal field theories on anti-de Sitter space, focussing on the special case of the N = 4 supersymmetric Yang-Mills theory on AdS(4). We argue that the choice of boundary conditions, in particular for the gauge field, has a large effect on the dynamics. For example, for weak coupling, one of two natural choices of boundary conditions for the gauge field leads to a large N deconfinement phase transition as a function of the temperature, while the other does not. For boundary conditions that preserve supersymmetry, the strong coupling dynamics can be analyzed using S-duality (relevant for gYM >> 1), utilizing results of Gaiotto and Witten, as well as by using the AdS/CFT correspondence (relevant for large N and large 't Hooft coupling). We argue that some very specific choices of boundary conditions lead to a simple dual gravitational description for this theory, while for most choices the gravitational dual is not known. In the cases where the gravitational dual is known, we discuss the phase structure at large 't Hooft coupling.
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