Emergence of -duality in seven dimensions involves some nontrivial phenomena which are interpreted in -theory [8]. Also, study of black holes in 7 dimensions is important in the context of the AdS/CFT correspondence [9–11]. There has been much progress in the study of various properties ...
Although typically non-unitary, LCFTs have found applications in condensed matter physics, where they are used in the study of e.g. critical phenomena, turbulence and percolation. As such, critical gravities might represent gravitational duals of certain strongly coupled condensed matter systems. –1...
As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling of the black hole mass, and scale echoing have given rise to the term “critical phenomena”. Th...
the long-range Ising model [3]; they typically lead to one-parameter families of universality classes (as found for example by two-loop [4, 5] and three-loop computations [6, 7]) and tuning –1– such parameter one can study, at fixed dimension, phenomena such as the crossover from ...
A concrete example of holographic duality is the AdS/CFT correspondence that suggests the information of a conformal field theory (CFT) living on the boundary of Anti-de Sitter (AdS) space is encoded in the bulk gravitational theory of AdS [16,17]. Although general proof of the conjecture is...
ArticleADSMATHGoogle Scholar Landau, L. D., Lifshitz, E. M. & Pitaevskii, L. P.Statistical Physics. chap. XIV, P446 (Butterworth-Heinemann, 1980). Wilson, K. G. The renormalization group and critical phenomena.Rev. Mod. Phys.55, 583–600 (1983). ...
The original AdS/CFT correspondence establishes a duality between an N = 4 super Yang-Mills theory (SYM) in 3 + 1 dimensions, which is a conformal field theory, and su- perstring theory on an AdS5 × S5 space-time. There is no known quantum critical point described by N = 4 SYM. ...
Since the plasma is strongly coupled, the perturbation theory is not applicable and we need to use a non-perturbative approach. Anti de-Sitter/Conformal Field Theory (AdS/CFT) corre- spondence or more generally gauge/gravity duality is a non- perturbative approach. According to this duality, ...
This duality enables us to describe and study various phenom- ena in the field theories utilizing their corresponding grav- ity duals. Although these phenomena may not seem simple from a field theory point of view, their gravitational descrip- tions hopefully have a simpler explanation. As an ...
the chemical potential increases depending on whether one is far or close enough to the critical point, respectively. On the other hand, the thermalization time associated with the equilibration of the scalar condensate, which happens only after the system has relaxed to a (nearly) isotropic ...