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Renormalization group flows from holography  Supersymmetry and a ctheorem
 ADV THEOR. MATH. PHYS
, 1999
"... We obtain first order equations that determine a supersymmetric kink solution in fivedimensional N = 8 gauged supergravity. The kink interpolates between an exterior antide Sitter region with maximal supersymmetry and an interior antide Sitter region with one quarter of the maximal supersymmetry. ..."
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Cited by 294 (25 self)
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sector of N = 2 gauge theories based on quiver diagrams. We consider more general kink geometries and construct a cfunction that is positive and monotonic if a weak energy condition holds in the bulk gravity theory. For evendimensional boundaries, the cfunction coincides with the trace anomaly
Note on the holographic cfunction
, 2003
"... We discuss the holographic cfunction and describe an algorithm for the practical computation of the changing central charge in arbitrary RGflows. The conclusions are drawn from studying a particular example, which is worked out in detail. The renormalisation procedure of hepth/0112150 necessary t ..."
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We discuss the holographic cfunction and describe an algorithm for the practical computation of the changing central charge in arbitrary RGflows. The conclusions are drawn from studying a particular example, which is worked out in detail. The renormalisation procedure of hepth/0112150 necessary
CFunctions in Lovelock Gravity
, 802
"... We present Cfunctions for static and spherically symmetric spacetimes in Lovelock gravity theories. These functions are monotonically increasing functions of the outward radial coordinate and acquire their minima when evaluated on the horizon. Unlike the case of Einstein gravity, where there is a s ..."
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We present Cfunctions for static and spherically symmetric spacetimes in Lovelock gravity theories. These functions are monotonically increasing functions of the outward radial coordinate and acquire their minima when evaluated on the horizon. Unlike the case of Einstein gravity, where there is a
hepth/yymmnn Note on the holographic cfunction
, 2003
"... We discuss the holographic cfunction and describe an algorithm for the practical computation of the changing central charge in arbitrary RGflows. One example is worked out in detail. The renormalisation procedure of hepth/0112150 necessary to obtain the central charge is reviewed. Since the work ..."
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We discuss the holographic cfunction and describe an algorithm for the practical computation of the changing central charge in arbitrary RGflows. One example is worked out in detail. The renormalisation procedure of hepth/0112150 necessary to obtain the central charge is reviewed. Since the work
On the Canonical cFunction in 4d Field Theories
, 2000
"... We study monotonicity and other properties of the canonical cfunction (defined through the correlator of the energymomentum tensor) in some holographic duals of 4d quantum field theories. The canonical cfunction and its derivatives are related to the 5d Green’s function of the dual supergravity ..."
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We study monotonicity and other properties of the canonical cfunction (defined through the correlator of the energymomentum tensor) in some holographic duals of 4d quantum field theories. The canonical cfunction and its derivatives are related to the 5d Green’s function of the dual supergravity
Universality and a Generalized CFunction in CFT’s with AdS Duals
, 2001
"... We argue that the thermodynamics of conformal field theories with AdS duals exhibits a remarkable universality. At strong coupling, a CardyVerlinde entropy formula holds even when Rcharges or bulk supergravity scalars are turned on. In such a setting, the Casimir entropy can be identified with a g ..."
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Cited by 14 (0 self)
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generalized Cfunction that changes monotonically with temperature as well as when nontrivial bulk scalar fields are introduced. We generalize the CardyVerlinde formula to cases where no subextensive part of the energy is present and further observe that such a formula is valid for the N = 4 super Yang
Exact CFunction and CTheorem on AffineVirasoro Space ∗
, 1990
"... An exact Cfunction, which is an action for the Virasoro master equation, is obtained on affineVirasoro space. The solutions of the master equation are fixed points of an associated flow, which obeys a Ctheorem. The closed subflow SO(n)diag is a flow on the space of graphs, and the associated Mor ..."
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An exact Cfunction, which is an action for the Virasoro master equation, is obtained on affineVirasoro space. The solutions of the master equation are fixed points of an associated flow, which obeys a Ctheorem. The closed subflow SO(n)diag is a flow on the space of graphs, and the associated
dSHolographic CFunctions with a Topological, Dilatonic Twist
, 2002
"... Recently, the holographic aspects of asymptotically de Sitter spacetimes have generated substantial literary interest. The plot continues in this paper, as we investigate a certain class of dilatonically deformed “topological ” de Sitter solutions (which were introduced in hepth/0110234). Although ..."
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Cited by 4 (2 self)
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such solutions possess a detrimental cosmological singularity, their interpretation from a holographic perspective remains somewhat unclear. The current focus is on the associated generalized Cfunctions, which are shown to maintain their usual monotonicity properties in spite of this exotic framework
Holography, the second law and a Cfunction in higher curvature gravity
 JHEP
, 2007
"... We analyze the Second Law of black hole mechanics and the generalization of the holographic bound for general theories of gravity. We argue that both the possibility of defining a holographic bound and the existence of a Second Law seem to imply each other via the existence of a certain “cfunction ..."
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We analyze the Second Law of black hole mechanics and the generalization of the holographic bound for general theories of gravity. We argue that both the possibility of defining a holographic bound and the existence of a Second Law seem to imply each other via the existence of a certain “cfunction
Results 1  10
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724,986