A bstract We analyze various aspects of the recently proposed holographic theories with general dynamical critical exponent z and hyperscaling violation θ . first find basic constraints on , from gravity side, compute stress-energy tensor expectation values scalar two-point functions. Massive correlators exhibit a nontrivial exponential behavior at long distances, controlled by At short distance, functions become power-law, universal form for > 0. Next, calculation entanglement entropy...

We study modular Hamiltonians corresponding to the vacuum state for deformed half-spaces in relativistic quantum field theories on $$ {\mathrm{\mathbb{R}}}^{1,d-1} . show that addition usual boost generator, there is a contribution Hamiltonian at first order shape deformation, proportional integral of null components stress tensor along Rindler horizon. use this fact with monotonicity relative entropy prove averaged energy condition Minkowski space-time. This subsequently gives new proof...

A bstract We prove a conjectured lower bound on 〈 T__ ( x )〉 ψ in any state of CFT Minkowski space, dubbed the Quantum Null Energy Condition (QNEC). The is given by second order shape deformation, null direction, geometric entanglement entropy an entangling cut passing through . Our proof involves combination two independent methods that were used recently to weaker Averaged (ANEC). In particular properties modular Hamiltonians under deformations for play important role, as do causality...

We study bosonization in 2+1 dimensions using mirror symmetry, a duality that relates pairs of supersymmetric theories. Upon breaking supersymmetry controlled way, we dynamically obtain the equates theory free Dirac fermion to QED3 with single scalar boson. This may be used demonstrate relating an $O(2)$-symmetric Wilson-Fisher fixed point fermion, Peskin-Dasgupta-Halperin duality, and recently conjectured fermionic flavor. Chern-Simons BF couplings for both dynamical background gauge fields...

Accurate harmonic state estimation (HSE) is necessary to mitigate issues in power distribution networks. However, existing HSE methods face difficulties solution of equation that the measured data insufficient with limited monitors. Therefore, this study proposes a algorithm for networks based on multi-measurement data. Firstly, source location method mutual information and network partition proposed reduce number variables solve equation. Thus, low resolution (15 min) realized. Secondly,...

There are many instances where superconductivity seems to emerge from the condensation of a non-Fermi liquid metal in vicinity quantum critical point. The authors this paper address problem by studying Fermi surface coupled bosonic order parameter within large-N approach. ensuing competition between tendency for pairing and destruction Landau quasiparticles is found result novel fixed point with finite scale invariant BCS coupling.

We study supersymmetry breaking perturbations of the simplest dual pair ($2+1$)-dimensional $\mathcal{N}=2$ supersymmetric field theories---the free chiral multiplet and super QED with a single flavor. find descriptions phase diagram containing four distinct massive phases. The equivalence intervening critical theories gives rise to several nonsupersymmetric avatars mirror symmetry: we dualities relating scalar fermion Wilson-Fisher both fermionic QED. Thus, symmetry can be viewed as...

Tumor-infiltrating lymphocytes (TILs) are clinically significant in triple-negative breast cancer (TNBC). Although a standardized methodology for visual TILs assessment (VTA) exists, it has several inherent limitations. We established deep learning-based computational TIL (CTA) method broadly following VTA guideline and compared with TNBC to determine the prognostic value of CTA reasonable workflow clinical practice.We trained three neural networks nuclei segmentation, classification...

We study the dynamics of half-filled zeroth Landau level Dirac fermions using mirror symmetry, a supersymmetric duality between certain pairs $2+1$-dimensional theories. show that pair is dual to Fermi surfaces electrically neutral composite fermions, coupled an emergent gauge field. Thus, we use supersymmetry provide derivation flux attachment and Fermi-liquid-like state for lowest fermions. find in theory Coulomb interaction induces dynamical exponent $z=2$ field, making interactions...

A bstract Classifying the zero-temperature ground states of quantum field theories with finite charge density is a very interesting problem. Via holography, this problem mapped to classification extremal charged black brane geometries anti-de Sitter asymptotics. In recent paper [1], we proposed Bianchi near-horizon in five dimensions, case where they are homogeneous but, general, anisotropic. Here, extend our study two directions: show that attractors can lead new phases, and generalize...

A bstract Recent work found an enhanced correction to the entanglement entropy of a subsystem in chaotic energy eigenstate. The appears near phase transition that happens when size is half entire system size. Here we study appearance such corrections holo-graphically. We show explicitly how find these example eigenstates by summing over contributions all bulk saddle point solutions, including those break replica symmetry. With help emergent rotational symmetry, sum points written terms...

We introduce new tools for studying modular flow in AdS/CFT. These allow us to efficiently extract bulk information related causality and locality. For example, we discuss the relation between analyticity time entanglement wedge nesting which can then be used location of Ryu-Takayanagi (RT) surface directly from boundary theory. Probing RT close our results reduce recent proof Quantum Null Energy Condition. focus on heavy probe operators whose correlation functions are determined by...

Modular flows probe important aspects of the entanglement structures, especially those QFTs, in a dynamical framework. Despite expected non-local nature general cases, majority explicitly understood examples feature local space-time trajectories under modular flows. In this work, we study particular class They are associated with relativistic vacuum state and sub-regions whose boundaries lie on planar null-surface. satisfy remarkable algebraic property known as half-sided inclusion, result...

A bstract The eigenstate thermalization hypothesis (ETH) in chaotic two dimensional CFTs is subtle due to infinitely many conserved KdV charges. Previous works have demonstrated that primary CFT eigenstates flat entanglement spectrum, which very different from the microcanonical ensemble. This result an apparent contradiction conventional ETH, does not take charges into account. In a companion paper [1], we resolve this discrepancy by studying subsystem entropy of KdV-generalized Gibbs and...

We study the quantum theory of a Fermi surface coupled to gapless boson scalar in $D=4\ensuremath{-}\ensuremath{\epsilon}$ space-time dimensions as simple model for non-Fermi liquids (NFL) near phase transition. Our analysis takes into account full backreaction from Landau damping boson, and obtains an RG flow that proceeds through three distinct stages. Above scale damping, velocity flows zero, while coupling evolves according its classical dimension. Once becomes important, leads crossover...

We study probe corrections to the Eigenstate Thermalization Hypothesis (ETH) in context of 2D CFTs with large central charge and a sparse spectrum low dimension operators. In particular, we focus on observables form non-local composite operators $\mathcal{O}_{obs}(x)=\mathcal{O}_L(x)\mathcal{O}_L(0)$ $h_L\ll c$. As light probe, $\mathcal{O}_{obs}(x)$ is constrained by ETH satisfies $\langle \mathcal{O}_{obs}(x)\rangle_{h_H}\approx \langle \mathcal{O}_{obs}(x)\rangle_{\text{micro}}$ for high...

Motivated by symmetry-protected topological phases (SPTs) with both spatial symmetry (e.g., lattice rotation) and internal spin rotation), we propose a class of exotic terms, which generalize the well-known Wen-Zee terms quantum Hall systems [X.-G. Wen A. Zee, Phys. Rev. Lett. 69, 953 (1992)]. These generalized are expressed as wedge product connection usual gauge fields (1-form or higher) in various dimensions. In order to probe SPT orders, externally insert twists such domain walls...

A bstract It is believed that thermalization drives the reduced density matrix of a sub- system to approach short-range entangled operator. If initial state also entangled, it possible remains low-entangled throughout thermalization; or there could exist barrier with high operator entanglement between and thermalized matrix. In this paper, we study such dynamics in three classes models: rational CFTs, random unitary circuit, holographic representing systems increasing quantum chaoticity. We...

Via the AdS/CFT correspondence, ground states of field theories at finite charge density are mapped to extremal black brane solutions. Studies simple gravity + matter systems in this context have uncovered wide new classes geometries. The Lifshitz metrics characterising with non-trivial dynamical critical exponent z ≠ 1 emerge as one common endpoint doped holographic toy models. However, horizon exhibits mildly singular behaviour - while curvature invariants finite, there diverging tidal...

We address the problem of superconductivity for non-Fermi liquids using two commonly adopted, yet apparently distinct, methods: (1) renormalization group (RG) and (2) Eliashberg theory. The extent to which both methods yield consistent solutions low-energy behavior quantum metals has remained unclear. show that perturbative RG beta function 4-Fermi coupling can be explicitly derived from linearized equations, under assumption corrections are approximately local across energy scales. apply...

We study the renormalization of Fermi surface coupled to a massless boson near three spatial dimensions. For this, we set up Wilsonian RG with independent decimation procedures for bosons and fermions, where four-fermion interaction ``Landau parameters'' run already at tree level. Our explicit one-loop analysis resolves previously found obstacles in finite-density field theory, including logarithmic divergences nonlocal interactions appearance multilogarithms. The key aspects are above...

We study the dynamics of a quantum critical boson coupled to Fermi surface in intermediate energy regimes where Landau damping can be parametrically controlled, either via large velocity or by large-$N$ techniques. develop systematic approach BCS instability such systems, including careful treatment enhanced ${\text{log}}^{2}$ and ${\text{log}}^{3}$ singularities which appear already at 1-loop. These arise due exchange Cooper channel are absent liquid theory. also treat possible...