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Related papers: Wrapping corrections for long range spin chains

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We propose a duality between the complex Liouville string and a two-matrix integral. The complex Liouville string is defined by coupling two Liouville theories with complex central charges $c = 13 \pm i \lambda$ on the worldsheet. The…

High Energy Physics - Theory · Physics 2025-05-14 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

We consider the $ su(n) $ spin chains with long range interactions and the spin generalization of the Calogero-Sutherland models. We show that their properties derive from a transfer matrix obeying the Yang-Baxter equation. We obtain the…

High Energy Physics - Theory · Physics 2023-04-10 D. Bernard , M. Gaudin , F. D. M. Haldane , V. Pasquier

Strong interactions between electrons in two dimensions can realize phases where their spins and charges separate. We capture this phenomenon within a dual formulation. Focusing on square lattices, we analyze the long-wavelength structure…

Strongly Correlated Electrons · Physics 2022-11-28 Eyal Leviatan , David F. Mross

Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher spin operators. These arguments rely only on analiticity,…

High Energy Physics - Theory · Physics 2016-01-27 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

For gauge theories which admit a dual string description, we analyze deep inelastic scattering at strong 't Hooft coupling and high energy, in the vicinity of the unitarity limit. We discuss the onset of unitarity corrections and determine…

High Energy Physics - Theory · Physics 2010-02-03 Y. Hatta , E. Iancu , A. H. Mueller

We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. The anomalous dimensions computed in the gauge theory are in complete quantitative agreement with…

High Energy Physics - Theory · Physics 2016-04-20 Robert de Mello Koch , Nirina Hasina Tahiridimbisoa , Christopher Mathwin

We are able to perform the duality transformation of the spin system which was found before as a lattice realization of the string with linear action. In four and higher dimensions this spin system can be described in terms of a…

High Energy Physics - Theory · Physics 2009-10-28 G. K. Savvidy , K. G. Savvidy , F. J. Wegner

In quantum spin chains at criticality, two types of scaling for the entanglement entropy exist: one comes from conformal field theory (CFT), and the other is for entanglement support of matrix product state (MPS) approximation. They…

Statistical Mechanics · Physics 2011-09-02 Hiroaki Matsueda

Supersymmetry operators that change a spin chain's length have appeared in numerous contexts, ranging from the AdS/CFT correspondence to statistical mechanics models. In this article, we present, via an analysis of the Bethe equations, all…

Mathematical Physics · Physics 2015-06-18 David Meidinger , Vladimir Mitev

The long-range, spin-dependent forces between D0-branes are related to long-range fundamental string interactions using duality. These interactions can then be computed by taking the long distance non-relativistic expansion of string…

High Energy Physics - Theory · Physics 2009-10-30 Jeffrey A. Harvey

The equations of motion that must be satisfied by fields that constitute realizations of the Poincare group algebra, for integral spin, and mass m, are obtained. For the case of massive spin 2 these equations are satisfied by the selfdual,…

High Energy Physics - Theory · Physics 2010-01-02 Pio J. Arias

Inspired by the cuprate stripes, the problem of a one dimensional metal living on a delocalized trajectory in two dimensional space is considered. Under the assumption that a localized and charge incompressible reference string state…

Strongly Correlated Electrons · Physics 2009-10-31 J. Zaanen , O. Y. Osman , W. van Saarloos

A previously introduced real space renormalization-group treatment of the random transverse-field Ising spin chain is extended to provide detailed information on the distribution of the energy gap and the end-to-end correlation function for…

Condensed Matter · Physics 2009-10-31 Daniel S. Fisher , A. P. Young

The study of critical properties of systems with long-range interactions has attracted in the last decades a continuing interest and motivated the development of several analytical and numerical techniques, in particular in connection with…

Statistical Mechanics · Physics 2020-03-24 Nicolò Defenu , Alessandro Codello , Stefano Ruffo , Andrea Trombettoni

We conjecture a formula which expresses charges of infinitely long states of the Heisenberg spin-1/2 chain model. Several arguments are provided which support the proposal.

Mathematical Physics · Physics 2017-11-15 Jacek Pawelczyk

Quantum spin networks overcome the challenges of traditional charge-based electronics by encoding the information into spin degrees of freedom. Although beneficial for transmitting information with minimal losses when compared to their…

Quantum Physics · Physics 2017-08-03 Paul Bogdan , Edmond Jonckheere , Sophie Schirmer

Similarly to their purely electric counterparts, spintronic circuits may be presented as networks of lumped elements. Due to interplay between spin and charge currents, each element is described by a matrix conductance. We establish…

Mesoscale and Nanoscale Physics · Physics 2019-06-04 Ya. B. Bazaliy , R. R. Ramazashvili

We study the symmetry resolved entanglement entropies in gapped integrable lattice models. We use the corner transfer matrix to investigate two prototypical gapped systems with a U(1) symmetry: the complex harmonic chain and the XXZ…

Statistical Mechanics · Physics 2020-03-27 Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese

We study the spectrum of hadronic states made up of very massive complex scalar fields in a confining gauge theory admitting a supergravity dual background. We show that for a sub-sector of operators dual to certain spinning strings, the…

High Energy Physics - Theory · Physics 2010-10-27 A. L. Cotrone , L. Martucci , J. M. Pons , P. Talavera

The concept of spin-base invariance is extended to arbitrary integer dimension $d \geq 2$. Explicit formulas for the spin connection as a function of the Dirac matrices are found. We disclose the hidden spin-base invariance of the vielbein…

High Energy Physics - Theory · Physics 2015-05-13 Stefan Lippoldt