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We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories. We constrain the spectrum of CFTs in the presence of holomorphic and anti-holomorphic currents using the…

High Energy Physics - Theory · Physics 2018-11-05 Jin-Beom Bae , Sungjay Lee , Jaewon Song

Global existence for the nonisentropic compressible Euler equations with vacuum boundary for all adiabatic constants $\gamma > 1$ is shown through perturbations around a rich class of background nonisentropic affine motions. The notable…

Analysis of PDEs · Mathematics 2021-06-03 Calum Rickard , Mahir Hadzic , Juhi Jang

We investigate the structure of equations of motion and lagrangian constraints in a general theory of massive spin 2 field interacting with external gravity. We demonstrate how consistency with the flat limit can be achieved in a number of…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , D. M. Gitman , V. D. Pershin

We investigate the influence of local decoherence on a symmetry-protected topological (SPT) phase of the two-dimensional (2D) cluster state. Mapping the 2D cluster state under decoherence to a classical spin model, we show a topological…

Quantum Physics · Physics 2024-05-06 Yuxuan Guo , Yuto Ashida

We reconsider the derivation of Ward identities for spin stiffnesses, which determine the non-linear sigma model of magnetic degrees of freedom of interacting electrons in the presence of antiferromagnetic or incommensurate correlations. We…

Strongly Correlated Electrons · Physics 2024-09-13 I. A. Goremykin , A. A. Katanin

We present the universal theory of arbitrary, localized impurities in a confining paramagnetic state of two-dimensional antiferromagnets with global SU(2) spin symmetry. The energy gap of the host antiferromagnet to spin-1 excitations,…

Strongly Correlated Electrons · Physics 2007-05-23 Matthias Vojta , Chiranjeeb Buragohain , Subir Sachdev

We develop an asymptotical control theory for one of the simplest distributed (infinite dimensional) oscillating systems, namely, for a closed string under a bounded load applied to a single distinguished point. We find exact classes of…

Optimization and Control · Mathematics 2022-02-21 Lev Lokutsievskiy , Alexander Ovseevich

We give a prescription to perform the continuum limit of the $d$-dimensional Hubbard model in the presence of a harmonic trap at zero temperature. We perform the continuum limit at fixed number of particles. In $d\geq3$ the lattice system…

Quantum Gases · Physics 2017-09-13 Davide Nigro

Weak first-order pseudocriticality with approximate scale invariance has been observed in a variety of settings, including the intriguing case of deconfined criticality in 2+1 dimensions. Recently, this has been interpreted as extremely…

Strongly Correlated Electrons · Physics 2026-02-20 Sankalp Kumar , Sumiran Pujari , Jonathan D'Emidio

We consider the twistor description of conformal higher spin theories and give twistor space actions for the self-dual sector of theories with spin greater than two that produce the correct flat space-time spectrum. We identify a ghost-free…

High Energy Physics - Theory · Physics 2017-11-22 Philipp Haehnel , Tristan McLoughlin

We study the chaotic behavior of the Gibbs state of spin-glasses under the application of an external magnetic field, in the crossover region where the field intensity scales proportional to $1/\sqrt{N}$, being $N$ the system size. We show…

We show that that four dimensional conformal gravity plus a simple Neumann boundary condition can be used to get the semiclassical (or tree level) wavefunction of the universe of four dimensional asymptotically de-Sitter or Euclidean…

High Energy Physics - Theory · Physics 2011-06-10 Juan Maldacena

According to the Hohenberg-Kohn theorem of density-functional theory (DFT), all observable quantities of systems of interacting electrons can be expressed as functionals of the ground-state density. This includes, in principle, the spin…

Strongly Correlated Electrons · Physics 2019-09-04 Carsten A. Ullrich

We determine the universal part of pseudoentropy for small shape deformations of spherical entangling surfaces in the context of de Sitter/conformal field theory (dS/CFT) correspondence. The leading correction at quadratic order in the…

High Energy Physics - Theory · Physics 2025-12-03 Giorgos Anastasiou , Ignacio J. Araya , Avijit Das , Javier Moreno

This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the $OSp(3|2)$ superalgebra. The finite-size properties of the eigenspectra are computed by solving…

Statistical Mechanics · Physics 2019-07-25 Holger Frahm , Konstantin Hobuß , Márcio J. Martins

We study a one-dimensional electron liquid embedded in a 2D antiferromagnetic insulator, and coupled to it via a weak antiferromagnetic spin exchange interaction. We argue that this model may qualitatively capture the physics of a single…

Strongly Correlated Electrons · Physics 2009-11-10 H. Johannesson , G. I. Japaridze

The spin-wave theory and the coherent potential approximation are applied to a spin S Heisenberg antiferromagnet with nonmagnetic impurities on square lattice. The impurity effects are taken into account by substituting S(1-x) for S and…

Disordered Systems and Neural Networks · Physics 2009-10-31 Chitoshi Yasuda , Akihide Oguchi

Gade [R. Gade, Nucl. Phys. B \textbf{398}, 499 (1993)] has shown that the local density of states for a particle hopping on a two-dimensional bipartite lattice in the presence of weak disorder and in the absence of time-reversal…

Condensed Matter · Physics 2009-11-07 C. Mudry , S. Ryu , A. Furusaki

We analyze the finite size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finite size contributions to a general measure of ground state…

Quantum Physics · Physics 2009-11-13 F. C. Alcaraz , M. S. Sarandy

We investigate universal thermodynamics and quantum criticality of spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions in a one-dimensional harmonic trap. From the equation of state, we…

Quantum Gases · Physics 2012-07-19 C. C. N. Kuhn , X. W. Guan , A. Foerster , M. T. Batchelor