High Energy Physics Theory

We study the holographic renormalization group (RG) flow triggered by a classically marginal operator. When a marginal operator deforms a conformal field theory, it does not yield a nontrivial renormalization group flow at the classical level. At the quantum level, however, quantum corrections modify a marginal operator into one of the truly marginal, marginally relevant, and marginally irrelevant operators and can generate a nontrivial RG flow. We investigate the holographic description of a RG flow triggered by a marginal operator with quantum corrections. We look into how the physical quantities of a deformed theory, a coupling constant and the vacuum expectation value, rely on the RG scale. We further discuss the holographic description of the trace anomaly caused by the gluon condensation.

We study anSO(2)?SO(2)?SO(2)?SO(2)truncation of four-dimensionalN=4gauged supergravity coupled to six vector multiplets withSO(4)?SO(4)gauge group and find a new class of holographic RG flows and supersymmetric Janus solutions. In this truncation, there is a uniqueN=4supersymmetricAdS4vacuum dual to anN=4SCFT in three dimensions. In the presence of the axion, the RG flows generally preserveN=2supersymmetry while the supersymmetry is enhanced toN=4for vanishing axion. We find solutions interpolating between theAdS4vacuum and singular geometries with different residual symmetries. We also show that all the singularities are physically acceptable within the framework of four-dimensional gauged supergravity. Accordingly, the solutions are holographically dual to RG flows from theN=4SCFT to a number of non-conformal phases in the IR. We also findN=4andN=2Janus solutions withSO(4)?SO(4)andSO(2)?SO(2)?SO(3)?SO(2)symmetries, respectively. The former is obtained from a truncation of all scalars from vector multiplets and can be regarded as a solution of pureN=4gauged supergravity. On the other hand, the latter is a genuine solution of the full matter-coupled theory. These solutions describe conformal interfaces in theN=4SCFT withN=(4,0)andN=(2,0)supersymmetries.

Using the guage/gravity correspondence, we discuss the holographic Schwinger effect in anisotropic backgrond. First of all, we compute the separating length of the particle-antiparticle pairs at different anisotropic background which is specified by dynamical exponentνwith the isotropic case isν=1. Then it is found that the maximum separating lengthxdecreases with the increasing of dynamical exponentν. This can be regarded as the virtual particles become real ones more easily. Subsequently, we find that the potential barrier is reduced by dynamical exponentν, warp factor coefficientcand chemical potentialμat small distance. Moreover, we also find the critical electric field is reduced by the chemical potential and dynamical exponent, but enhanced by the warp factor coefficient.

The thermodynamic Euler equation for high-energy states of large-Ngauge theories is derived from the dependence of the extensive quantities on the number of colorsN. This Euler equation relates the energy of the state to the temperature, entropy, number of degrees of freedom and its chemical potential, but not to the volume or pressure. In the context of the gauge/gravity duality we show that the Euler equation is dual to the generalized Smarr formula for black holes in the presence of a negative cosmological constant. We also match the fundamental variational equation of thermodynamics to the first law of black hole mechanics, when extended to include variations of the cosmological constant and Newton's constant.

We examine the deSitter entropy in the braneworld model with the Gauss-Bonnet/Lovelock terms. Then, we can see that the deSitter entropy computed through the Euclidean action exactly coincides with the holographic entanglement entropy.

Since the work of Ryu and Takayanagi, deep connections between quantum entanglement and spacetime geometry have been revealed. The negative eigenvalues of the partial transpose of a bipartite density operator is a useful diagnostic of entanglement. In this paper, we discuss the properties of the associated entanglement negativity and its Rényi generalizations in holographic duality. We first review the definition of the Rényi negativities, which contain the familiar logarithmic negativity as a special case. We then study these quantities in the random tensor network model and rigorously derive their large bond dimension asymptotics. Finally, we study entanglement negativity in holographic theories with a gravity dual, where we find that Rényi negativities are often dominated by bulk solutions that break the replica symmetry. From these replica symmetry breaking solutions, we derive general expressions for Rényi negativities and their special limits including the logarithmic negativity. In fixed-area states, these general expressions simplify dramatically and agree precisely with our results in the random tensor network model. This provides a concrete setting for further studying the implications of replica symmetry breaking in holography.

We investigate the application of a holographic entanglement negativity construction to bipartite states of single subsystems inCFTds with a conserved charge dual to bulkAdSd+1geometries. In this context, we obtain the holographic entanglement negativity for single subsystems with long rectangular strip geometry inCFTds dual to bulk extremal and nonextremal Reissner-Nordstr{ö}m (RN)-AdSd+1black holes. Our results demonstrate that for this configuration the holographic entanglement negativity involves subtraction of the thermal entropy from the entanglement entropy confirming earlier results. This conforms to the characterization of entanglement negativity as the upper bound on the distillable entanglement in quantum information theory and constitutes an important consistency check for our higher dimensional construction.

In this work, we have analytically analyzed the insulator/superconductor phase transition in the presence of a 5-dimensionalAdSsoliton background using matching method and thermodynamic geometry approach. We have first employed the matching method to obtain the critical chemical potential. We then move on to investigate the free energy and thermodynamic geometry of this model in 3+1 dimensions. This investigation of the thermodynamic geometry leads to the critical chemical potential of the system from the condition of the divergence of the scalar curvature. We have then compared the value of the critical chemical potentialμcin dimensiond=5obtained from these two different methods, namely, the matching method and the thermodynamic geometry procedure. We have also obtained an expression for the condensation operator using the matching method. Our findings agree very well with the numerical findings in the literature.

Holographic tensor networks associated to tilings of (1+1)-dimensional de Sitter spacetime are introduced. Basic features of these networks are discussed, compared, and contrasted with conjectured properties of quantum gravity in de Sitter spacetime. Notably, we highlight a correspondence between the quantum information capacity of the network and the cosmological constant.

Quantum tasks are quantum computations with inputs and outputs occurring at specified spacetime locations. Considering such tasks in the context of AdS/CFT has led to novel constraints relating bulk geometry and boundary entanglement. In this article we consider tasks where inputs and outputs are encoded into extended spacetime regions, rather than the points previously considered. We show that this leads to stronger constraints than have been derived in the point based setting. In particular we improve the connected wedge theorem, appearing earlier in 1912.05649, by finding a larger bulk region whose existence implies large boundary correlation. As well, we show how considering extended input and output regions leads to non-trivial statements in Poincaré-AdS2+1, a setting where the point-based connected wedge theorem is always trivial.