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

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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.

We extend the T-duality for gauge theory to that on curved space described as a nontrivial fiber bundle. We also present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory and discuss the relation between the vacua on the total space and on the base space. As examples, we consider S 3 (/Z k ), S 5 (/Z k ) and the Heisenberg Emergence of space-time is one of the key concepts in nonperturbative definition of superstring or M-theory by matrix models [1,2]. This phenomenon in field theory was found over two decades ago in the large N reduction of gauge theories [3][4][5][6][7], which states equivalence under some conditions between a large N gauge theory and the matrix model that is its dimensional reduction to a point. This equivalence originates from the fact that the eigenvalues of matrices can be interpreted as momenta. This interpretation reappeared in the T-duality between the low-energy effective theories for Dp-branes and for D(p − 1)-branes [8,9]. More concretely, this T-duality tells that a U(N) gauge theory on R p × S 1 is equivalent to the U(N × ∞) gauge theory that is its dimensional reduction to R p if a periodicity condition is imposed to the theory on R p .The main purpose of this paper is to extend the T-duality for gauge theory to that on curved space described as a nontrivial fiber bundle. The above mentioned T-duality is concerning a trivial S 1 bundle, R p × S 1 . We restrict ourselves to principal S 1 bundles and show the T-duality between the gauge theories on the total space and on the base space.We also present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory. Furthermore, we discuss the properties of the vacua 1 on the total space and the base space. In our previous publication [10] on the gauge/gravity correspondence for the SU(2|4) symmetric theories [11] (see also [12][13][14][15][16][17]), we showed the T-duality between N = 4 super Yang Mills (SYM) on R × S 3 (/Z k ) and 2 + 1 SYM on R × S 2 , which is suggested from the gravity side. This is regarded as the T-duality on S 3 (/Z k ), which is a nontrivial S 1 fibration over S 2 . In this paper, we generalize this result. Our findings would be useful for the study of describing curved space-time in matrix models [18][19][20] as well as the study of curved D-branes. This paper is organized as follows. In section 2, we review the T-duality for gauge theory in a standard way. In section 3, we present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory. Although this viewpoint is not necessarily needed for the proof of the T-duality on fiber bundle, it is interesting itself and indeed 1 Throughout this paper, we consider gauge theories on Riemannian manifolds with a positive-definite metric. In the following arguments, we can easily add the time direction as direct product. To be precise, the 'vacua' in this paper mean the classical vacua of the corresponding gauge theories on this direct product space.

We discuss mesons in thermalizing gluon backgrounds in the N = 2 supersymmetric QCD using the gravity dual. We numerically compute the dynamics of a probe D7-brane in the Vaidya-AdS geometry that corresponds to a D3-brane background thermalizing from zero to finite temperatures by energy injection. In static backgrounds, it has been known that there are two kinds of brane embeddings where the brane intersects the black hole or not. They correspond to the phases with melted or stable mesons. In our dynamical setup, we obtain three cases depending on final temperatures and injection time scales. The brane stays outside of the black hole horizon when the final temperature is low, while it intersects the horizon and settles down to the static equilibrium state when the final temperature is high. Between these two cases, we find the overeager case where the brane dynamically intersects the horizon although the final temperature is not high enough for a static brane to intersect the horizon. The interpretation of this phenomenon in the dual field theory is meson melting due to non-thermal effects caused by rapid energy injection. In addition, we comment on the late time evolution of the brane and a possibility of its reconnection.

Abstract:We reconsider the realization of baryons in the Sakai-Sugimoto model. In this theory, which is the gravity dual of a QCD-like theory, baryons appear as soliton solutions. These solitons were approximated as flat-space instantons in previous studies. However, with this approximation, it has been shown that one does not reproduce some modelindependent predictions for the behavior of baryon electromagnetic form factors which are connected with long-range pion physics. This made it appear that the long-range pion physics of baryons may be hidden in (intractable) α corrections in the gravity dual. In this paper, we study the long-range properties of baryons in the Sakai-Sugimoto model without relying on the flat-space instanton approximation. The solution we obtain gives the correct result for the model-independent ratio of form factors, implying that the model captures the expected infrared properties of baryons without the need to go beyond the leading order in the α expansion.arXiv:1109.4665v2 [hep-th]