Journal ArticleDOI
Positive energy and the scalar potential in higher dimensional (super) gravity theories
TLDR
In this paper, for spacetimes of arbitrary dimension, the general two-derivative gravity plus scalar field theory allowing anti-de Sitter space as a solution was considered.About:
This article is published in Physics Letters B.The article was published on 1984-11-22. It has received 243 citations till now. The article focuses on the topics: Scalar field & Anti-de Sitter space.read more
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Large N Field Theories, String Theory and Gravity
TL;DR: In this paper, the holographic correspondence between field theories and string/M theory is discussed, focusing on the relation between compactifications of string theory on anti-de Sitter spaces and conformal field theories.
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Lecture notes on holographic renormalization
TL;DR: In this article, the authors review the formalism of holographic renormalization and apply it to holographic RG flows, including the derivation of the on-shell renormalized action, holographic Ward identities, anomalies and renormalisation group (RG) equations.
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Modeling the fifth dimension with scalars and gravity
TL;DR: In this article, a method for obtaining solutions to the classical equations for scalars plus gravity in five dimensions is applied to some recent suggestions for brane-world phenomenology, which involves only first order differential equations.
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Massive N=2a Supergravity in Ten-Dimensions
TL;DR: In this paper, a new version of the non-chiral N = 2a supergravity in ten dimensions is obtained, in which the two-index tensor field of the theory "eats" the single vector field and acquires a mass in a Higgs-type mechanism.
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Supersymmetric Gauge Theories and the AdS/CFT Correspondence
Eric D'Hoker,Daniel Z. Freedman +1 more
TL;DR: In this paper, the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory are assembled, and Brane solutions are surveyed.
References
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Stability in Gauged Extended Supergravity
TL;DR: In this paper, it was shown that supergravity theories with gauged SO(N) internal symmetry have ground states with anti-de Sitter background geometry which are stable against fluctuations which vanish sufficiently fast at spatial infinity.
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A new proof of the positive energy theorem
TL;DR: In this article, a new proof of the positive energy theorem of classical general relativity was given and it was shown that there are no asymptotically Euclidean gravitational instantons.
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On the proof of the positive mass conjecture in general relativity
Richard Schoen,Shing-Tung Yau +1 more
TL;DR: In this paper, it was shown that the total mass associated with each asymptotic regime is non-negative with equality only if the space-time is flat, which is the assumption of the existence of a maximal spacelike hypersurface.
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Positivity of the Total Mass of a General Space-Time
Richard Schoen,Shing-Tung Yau +1 more
TL;DR: In this article, the positive mass conjecture was shown to be true for all possible asymptotically flat space-times satisfying the local energy condition and the topology of all possible flat space times satisfying this condition was determined.
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The positivity of gravitational energy and global supersymmetry
TL;DR: The relationship between Witten's proof of the positivity of mass and supergravity is explained with reference to the group of global supersymmetries of a spacetime.