We establish a holographic bottom-up model which covers both the baryonic and quark matter phases in cold and dense QCD. This is obtained by including the baryons using simple approximation schemes in the V-QCD model, which also includes the backreaction of the quark matter to the dynamics of pure Yang-Mills. We examine two approaches for homogeneous baryon matter: baryons as a thin layer of noninteracting matter in the holographic bulk, and baryons with a homogeneous bulk gauge field. We find that the second approach exhibits phenomenologically reasonable features. At zero temperature, the vacuum, baryon, and quark matter phases are separated by strongly first order transitions as the chemical potential varies. The equation of state in the baryonic phase is found to be stiff, i.e., the speed of sound clearly exceeds the value c 2 s = 1/3 of conformal plasmas at high baryon densities.

We investigate relationship between a gauge theory on a principal bundle and that on its base space. In the case where the principal bundle is itself a group manifold, we also study relations of those gauge theories with a matrix model obtained by dimensionally reducing them to zero dimensions. First, we develop the dimensional reduction of YangMills (YM) on the total space to YM-higgs on the base space for a general principal bundle. Second, we show a relationship that YM on an SU (2) bundle is equivalent to the theory around a certain background of YM-higgs on its base space. This is an extension of our previous work [29], in which the same relationship concerning a U (1) bundle is shown. We apply these results to the case of SU (n + 1) as the total space. By dimensionally reducing YM on SU (n + 1), we obtain YM-higgs on SU (n + 1)/SU (n) ≃ S 2n+1 and on SU (n + 1)/(SU (n) × U (1)) ≃ CP n and a matrix model. We show that the theory around each monopole vacuum of YM-higgs on CP n is equivalent to the theory around a certain vacuum of the matrix model in the commutative limit. By combining this with the relationship concerning a U (1) bundle, we realize YM-higgs on SU (n + 1)/SU (n) ≃ S 2n+1 in the matrix model. We see that the relationship concerning a U (1) bundle can be interpreted as Buscher's

No abstract

We construct dynamical black hole solutions with a helical symmetry in AdS 5 , called black resonators, as well as their horizonless limits, called geons. We introduce a cohomogeneity-1 metric describing a class of black resonators and geons whose isometry group is R × SU(2). This allows us to study them in a wide range of parameters. We obtain the phase diagram for the black resonators, geons, and Myers-Perry-AdS 5 , where the black resonators emerge from the onset of a superradiant instability of the Myers-Perry-AdS 5 with equal angular momenta and are connected to the geons in the small horizon limit. The angular velocities of the black resonators always satisfy Ω > 1 in units of the AdS radius. A black resonator is shown to have higher entropy than a Myers-Perry-AdS 5 black hole with the same asymptotic charges. This implies that the Myers-Perry-AdS 5 can dynamically evolve into the black resonator under the exact SU(2)-symmetry although its endpoint will be further unstable to SU(2)-violating perturbations.

Molecular diagnosis of peritoneal lavage fluid with the TRC reaction could be a useful prognostic indicator for peritoneal recurrence and survival. Because the TRC reaction is more rapid and simpler than reverse transcriptase-polymerase chain reaction as a format for detecting RNA sequences, it may enhance the genetic diagnosis of cancer micrometastasis and may improve cancer therapy.