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We study Swendsen--Wang dynamics for the critical $q$-state Potts model on the square lattice. For $q=2,3,4$, where the phase transition is continuous, the mixing time $t_{\textrm{mix}}$ is expected to obey a universal power-law independent…

Probability · Mathematics 2018-06-06 Reza Gheissari , Eyal Lubetzky

In the AdS/CFT correspondence, the entanglement entropy of subregions in the boundary CFT is conjectured to be dual to the area of a bulk extremal surface at leading order in $G_N$ in the holographic limit. Under this dictionary, distantly…

High Energy Physics - Theory · Physics 2020-05-05 Sean Colin-Ellerin , Veronika E. Hubeny , Benjamin E. Niehoff , Jonathan Sorce

We derive the general formula, at a finite cutoff, for the change in the boundary condition of a scalar field in AdS under a Multiple-trace deformation of the dual CFT. Our analysis suggests that fluctuations around the classical solution…

High Energy Physics - Theory · Physics 2009-11-07 Amit Sever , Assaf Shomer

We propose a general method that allows to detect the existence of normalizable ground states in supersymmetric quantum mechanical systems with non-Fredholm spectrum. We apply our method to show the existence of bound states at threshold in…

High Energy Physics - Theory · Physics 2009-10-30 M. Porrati , A. Rozenberg

We investigate the boundary critical phenomena of the one-dimensional quantum Ashkin-Teller model using boundary conformal field theory and density matrix renormalization group (DMRG) simulations. Based on the $\mathbb{Z}_2$-orbifold of the…

Strongly Correlated Electrons · Physics 2026-05-13 Yifan Liu , Natalia Chepiga , Yoshiki Fukusumi , Masaki Oshikawa

We discuss a formulation of the fusion procedure for integrable models which is suitable for application to non-standard R-matrices. It allows for construction of bound state R-matrices for AdS/CFT worldsheet scattering or equivalently for…

Mathematical Physics · Physics 2015-08-13 Niklas Beisert , Marius de Leeuw , Panchali Nag

We describe the volume dependence of matrix elements of local boundary fields to all orders in inverse powers of the volume. Using the scaling boundary Lee-Yang model as testing ground, we compare the matrix elements extracted from boundary…

High Energy Physics - Theory · Physics 2008-11-26 M. Kormos , G. Takacs

The bound states of the D1D5 brane system have a known gravitational description: flat asymptotics, an anti-de Sitter region, and a 'cap' ending the AdS region. We construct perturbations that correspond to the action of chiral algebra…

High Energy Physics - Theory · Physics 2012-05-10 Samir D. Mathur , David Turton

We present a generic and systematic approach for constructing D-dimensional lattice models with exactly solvable d-dimensional boundary states localized to corners, edges, hinges and surfaces. These solvable models represent a class of…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Flore K. Kunst , Guido van Miert , Emil J. Bergholtz

We analyze the ground state structure of the supersymmetric sine-Gordon model via the lattice regularization. The nonlinear integral equations are derived for any values of the boundary parameters by the analytic continuation and showed…

High Energy Physics - Theory · Physics 2012-05-07 Chihiro Matsui

We consider gauge theories with multitrace deformations in the context of certain AdS/CFT models with explicit breaking of conformal symmetry and supersymmetry. In particular, we study the standard four-dimensional confining model based on…

High Energy Physics - Theory · Physics 2015-06-26 J. L. F. Barbon

In three and two dimensions the asymptotic symmetry groups of $AdS$ spaces are infinite dimensional. This can be explained easily by noting the relations $AdS_3 \simeq SL(2)$ and $AdS_2 \simeq SL(2)/SO(2)$, i.e. that the asymptotic…

High Energy Physics - Theory · Physics 2012-12-11 Heikki Arponen

We provide examples of gravitational collapse and black hole formation in AdS, either from collapsing matter shells or in analogy to the Oppenheimer-Sneider solution. We then investigate boundary properties of the corresponding states. In…

High Energy Physics - Theory · Physics 2009-11-07 Steven B. Giddings , Aleksey Nudelman

We consider the CFT of a free boson compactified on a circle, such that the compactification radius $R$ is an irrational multiple of $R_{selfdual}$. Apart from the standard Dirichlet and Neumann boundary states, Friedan suggested [1] that…

High Energy Physics - Theory · Physics 2010-11-19 Romuald A. Janik

N-fold tensor products of a rational CFT carry an action of the permutation group S_N. These automorphisms can be used as gluing conditions in the study of boundary conditions for tensor product theories. We present an ansatz for such…

High Energy Physics - Theory · Physics 2009-11-07 Andreas Recknagel

We investigate D-branes in the Nappi-Witten model. Classically symmetric D-branes are classified by the (twisted) conjugacy classes of the Nappi-Witten group, which specify the geometry of the corresponding D-branes. Quantum description of…

High Energy Physics - Theory · Physics 2009-11-10 Yasuaki Hikida

We investigate finite number effects in collisions between two states of an initially well defined number of identical bosons with attractive contact interactions, oscillating in the presence of harmonic confinement in one dimension. We…

Quantum Gases · Physics 2014-01-17 David I. H. Holdaway , Christoph Weiss , Simon A. Gardiner

In this work, we systematically study the $D\bar{D}^*$/$B\bar{B}^*$ and $DD^*$/$\bar{B}\bar{B}^*$ systems with the Bethe-Salpeter equation in the ladder and instantaneous approximations for the kernel. By solving the Bethe-Salpeter equation…

High Energy Physics - Phenomenology · Physics 2022-06-01 Meng-Jie Zhao , Zhen-Yang Wang , Chao Wang , Xin-Heng Guo

We develop the derivation we proposed in hep-th/0703177 of the dressing phase of the S-matrix in the AdS/CFT correspondence in the framework of the underlying bare integrable model. We elaborate the configuration of the Bethe roots…

High Energy Physics - Theory · Physics 2009-06-10 Kazuhiro Sakai , Yuji Satoh

We analyse the possible D-brane configurations in an AdS_3xS^3xS^3xS^1 background with a NS-NS B field, by using the boundary state formalism. We study their geometry and we determine the fraction of spacetime supersymmetry preserved by…

High Energy Physics - Theory · Physics 2009-10-31 JM Figueroa-O'Farrill , S Stanciu
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