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...ost of these works are best understood on the CFT side as explorations of exotic thermal phenomena in finite-temperature gauge theories. Connections with Higgsed states in gauge theory are clearer in =-=[322, 323]-=-. The relevance to confinement is explored in [320]. See also [324, 325, 326, 285] for other interesting contributions to the finite temperature literature. Deconfinement at high temperature can be ch...

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...of curvature of the asymptotically AdS5 region. Geometries of the form (1) arise in the gauged supergravity description of certain vacuum states on the Coulomb branch of N = 4 super-Yang-Mills theory =-=[6, 7, 8, 9, 10]-=-, and are also suspected to be the supergravity duals of most renormalization group flows arising from relevant deformations of the lagrangian of the CFT [11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 2...

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...e geometries describe the renormalisation group flows of the corresponding dual field theories. However, they are very different from those associated with continuous distributed brane configurations =-=[30, 31, 32, 33, 34, 35, 36]-=-. Notably, there are fewer supersymmetries 9 Similarly, the resolved dyonic string using the Eguchi-Hanson metric, which was constructed in [6], has H ∼ c0 + Q ρ −2 − c ρ −6 + · · ·, in terms of large...

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...he shell, the geometry is AdS5 × S5, exactly the same as if the shell were collapsed to a point. Inside the shell the geometry is ten-dimensional flat space. This configuration has been considered in =-=[16, 22, 23]-=-. It was pointed out already in [16] and emphasized in [23] that the background outside the shell is insensitive to what spherical distribution of branes one puts inside the shell: only the total numb...

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...ding to the angular velocities in supergravity and the R-voltages in the dual field theory, and {Ji} which are the angular momenta in supergravity and the R-charges in the dual field theory (see e.g. =-=[21, 22, 23, 24, 16]-=-). The thermodynamics with non-zero li will be considered in Section 4. 14The effective field theory parameters geff and aeff k , k = 1 . . .m, are as before in (3.8), (3.9) since r is still the Higg...

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... on CP 3 . Finally we note that the subjects of sphere compactification and semi-localised intersecting p-brane solutions were extensively discussed in the literature, see additional references, e.g. =-=[29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62]-=- 1 Non-singular embedding of AdS5 in M-theory and AdS3 in type IIB were recently constructed in [21, 22] and [22] respectively. 32 D = 7 SU(2)-gauged N = 2 supergravity from type IIA The embedding of...

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...way from the conformal point. Although it has long been recognized that there is a one to one correspondence between (the near-horizon limit of) multicenter D3 brane solutions and the CB of N = 4 SYM =-=[6]-=- a precise gravitational computation of the vevs was never done (apart from in the specific cases reviewed below). These solutions are determined by a harmonic function and Klebanov and Witten propose...

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...ese solutions can be consistently reduced on the internal transverse 15spheres to give rise to multi-scalar domain walls, generalising the results of the Coulomb branch of the AdS/CFT correspondence =-=[56, 57, 35, 58, 59, 60]-=-. Here we shall investigate the Domain-wall/QFT correspondence in the context of the relation between the gravitydecoupling limit of a D-brane, the trapping of gravity on the associated lower-dimensio...