Remarks on the string dual to N = 1 supersymmetric QCD

We present a detailed study of the Entanglement Entropy for the confining Klebanov-Strassler background coupled to a large number of dynamical flavors in the Veneziano limit. As we vary the number of the massless flavors the behavior of the entropy strongly depends on the way we fix the integration constant of the warp factor, that is related to the glueball scale. In the case of massive flavors, the mass of the flavor branes introduces another scale in the background and the entropy undergoes two first order phase transitions. The competition between the glueball and the quark scales will lead to a critical point where one of the phase transitions degenerates to a second order one. We have calculated the critical exponents and have found that they are independent of the number of flavors and different from the mean field theory expectations.

Section: Jhep07(2015)003 4 Entanglement Entropy and Massless Flavorsmentioning

confidence: 86%

Entanglement entropy of the Klebanov-Strassler model with dynamical flavors

Georgiou

Zoakos

2015

“…The functions Q and P are obtained by solving the first-order (BPS) equations of type-IIB supergravity [25]. The function Q is given by…”

Section: Jhep06(2017)003mentioning

confidence: 99%

“…where we have fixed an integration constant so as to avoid a bad IR singularity, while the function P obeys the following non-linear second-order master equation [25]:…”

Section: Jhep06(2017)003mentioning

confidence: 99%

“…We fix κ 2 = 1 in the following, unless explicitly stated otherwise, and in this way the UV asymptotics of the background functions reproduces the KS ones. We consider solutions of the master equation (2.25) that in the IR take the form [25]: 28) where κ 1 ≥ 2 is an integration constant. By varying κ 1 one obtains for example the solutions in pink, red and green in figure 1.…”

Section: Jhep06(2017)003mentioning

confidence: 99%

“…Special attention has been devoted in the literature to models in which the supergravity dual is related to the conifold and its deformations [16][17][18][19][20][21][22][23][24][25][26][27]. Among these, two classes stand out, in which a dimension-2 operator [28][29][30][31] and/or a dimension-6 operator [32][33][34][35][36][37][38][39][40] develop a vacuum expectation value (VEV) (see also [41,42]).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Glueballs on the baryonic branch of Klebanov-Strassler: dimensional deconstruction and a light scalar particle

Elander

Piai

2017

Within gauge/gravity duality, we compute the scalar and tensor mass spectrum in the boundary theory defined by the five-dimensional sigma-model coupled to gravity obtained by constraining to eight scalars the truncation on T 1,1 that corresponds to the Papadopoulos-Tseytlin (PT) ansatz. We study fluctuations around the 1-parameter family of backgrounds that lift to the baryonic branch of the Klebanov-Strassler (KS) system, and interpolates between the KS background and the Maldacena-Nunez one (CVMN). We adopt a gauge invariant formalism in the treatment of the fluctuations that we interpret as states of the dual theory. The tensor spectrum interpolates between the discrete spectrum of the KS background and the continuum spectrum of the CVMN background, in particular showing the emergence of a finite energy range containing a dense set of states, as expected from dimensional deconstruction. The scalar spectrum shows analogous features, and in addition it contains one state that becomes parametrically light far from the origin along the baryonic branch.

Holography with a Landau pole

Faedo

Matéos

Pantelidou

et al. 2017

Holography for UV-incomplete gauge theories is important but poorly understood. A paradigmatic example is d = 4, N = 4 super Yang-Mills coupled to N f quark flavors, which possesses a Landau pole at a UV scale Λ LP . The dual gravity solution exhibits a UV singularity at a finite proper distance along the holographic direction. Despite this, holographic renormalization can be fully implemented via analytic continuation to an AdS solution. The presence of a UV cut-off manifests itself in several interesting ways. At energies E Λ LP no pathologies appear, as expected from effective field theory. In contrast, at scales E Λ LP the gravitational potential becomes repulsive, and at temperatures T Λ LP the specific heat becomes negative. Although we focus on N = 4 super Yang-Mills with flavor, our qualitative results apply to a much more general class of theories, since they only depend on the fact that the metric near the UV singularity is a hyper-scaling violating metric with exponent θ > d − 1.