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Integrability is believed to underlie the AdS3/CFT2 correspondence with sixteen supercharges. We elucidate the role of massless modes within this integrable framework. Firstly, we find the dressing factors that enter the massless and…

High Energy Physics - Theory · Physics 2017-01-04 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski , Alessandro Torrielli

Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We…

High Energy Physics - Theory · Physics 2020-12-02 Andrea L Guerrieri , Alexandre Homrich , Pedro Vieira

The notion of a crosscap state, a special conformal boundary state first defined in 2d CFT, was recently generalized to 2d massive integrable quantum field theories and integrable spin chains. It has been shown that the crosscap states…

High Energy Physics - Theory · Physics 2024-01-19 Miao He , Yunfeng Jiang

We present the `Heisenberg picture' of the reflection algebra by explicitly constructing the boundary Yangian symmetry of an AdS/CFT superstring which ends on a boundary with non-trivial degrees of freedom and which preserves the full bulk…

High Energy Physics - Theory · Physics 2014-01-10 Niall MacKay , Vidas Regelskis

We develop a form factor bootstrap program to determine the matrix elements of local, boundary condition changing operators. We propose axioms for these form factors and determine their solutions in the free boson and Lee-Yang models. The…

High Energy Physics - Theory · Physics 2016-06-15 Zoltan Bajnok , Laszlo Hollo

We show that the complex saddle points of the no-boundary wave function with a positive cosmological constant and a positive scalar potential have a representation in which the geometry consists of a regular Euclidean AdS domain wall that…

High Energy Physics - Theory · Physics 2015-06-03 Thomas Hertog , James Hartle

We study the D-brane spectrum of N=2 string orbifold theories using the boundary state formalism. The construction is carried out for orbifolds with isolated singularities, non-isolated singularities and orbifolds with discrete torsion. Our…

High Energy Physics - Theory · Physics 2009-10-31 Duiliu-Emanuel Diaconescu , Jaume Gomis

We introduce the notion of higher Berry connection and curvature in the space of conformal boundary conditions in (1+1)d conformal field theories (CFT), related to each other by exactly marginal boundary deformations, forming a "boundary…

High Energy Physics - Theory · Physics 2025-07-18 Yichul Choi , Hyunsoo Ha , Dongyeob Kim , Yuya Kusuki , Shuhei Ohyama , Shinsei Ryu

We solve, by means of a nested coordinate Bethe ansatz, the open-boundaries scattering theory describing the excitations of a free open string propagating in $AdS_5\times S^5$, carrying large angular momentum $J=J_{56}$, and ending on a…

High Energy Physics - Theory · Physics 2010-05-12 D. H. Correa , C. A. S. Young

Boundary critical phenomena are studied in the 3- State Potts model in 2 dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary conditions is obtained using both fusion and…

Condensed Matter · Physics 2009-10-31 Ian Affleck , Masaki Oshikawa , Hubert Saleur

We consider the quantum integrable spin chain models associated with the Jimbo R-matrix based on the quantum affine algebra $D^{(2)}_{n+1}$, subject to quantum-group-invariant boundary conditions parameterized by two discrete variables…

High Energy Physics - Theory · Physics 2025-12-19 Holger Frahm , Sascha Gehrmann , Rafael I. Nepomechie , Ana L. Retore

In this paper, we study the Aggrawal, Ciambelli, Detournay, and Somerhausen (ACDS) boundary conditions ref[42] for Warped AdS$_3$ (WAdS$_3$) in the framework of General Massive Gravity (GMG) in the quadratic ensemble. We construct the phase…

High Energy Physics - Theory · Physics 2022-10-04 Seyed Naseh Sajadi , Ali Hajilou

We study the boundary states of the archetypal three-dimensional topological order, i.e. the three-dimensional $\mathbb{Z}_2$ toric code. There are three distinct elementary types of boundary states that we will consider in this work. In…

Strongly Correlated Electrons · Physics 2023-12-13 Wenjie Ji , Nathanan Tantivasadakarn , Cenke Xu

We analyze the 1+1 CFT states dual to hot (time-symmetric) 2+1 multiboundary AdS wormholes. These are black hole geometries with high local temperature, $n \ge 1$ asymptotically-AdS$_3$ regions, and arbitrary internal topology. The dual…

High Energy Physics - Theory · Physics 2015-10-21 Donald Marolf , Henry Maxfield , Alex Peach , Simon F. Ross

We discuss variationally optimized matrix-product states for the transverse-field Ising chain, using D*D matrices with small D=2-10. For finite system size N there are energy minimums for symmetric as well as symmetry-broken states, which…

Strongly Correlated Electrons · Physics 2010-10-13 Chen Liu , Ling Wang , Anders W. Sandvik , Yu-Cheng Su , Ying-Jer Kao

We introduce analytic functionals which act on the crossing equation for CFTs in arbitrary spacetime dimension. The functionals fully probe the constraints of crossing symmetry on the first sheet, and are in particular sensitive to the OPE,…

High Energy Physics - Theory · Physics 2020-05-20 Miguel F. Paulos

We show that the recently found S-matrices describing the scattering of two-particle bound states of the light-cone string sigma model on AdS5 x S5 are compatible with Yangian symmetry. In case the invariance with respect to the centrally…

High Energy Physics - Theory · Physics 2009-10-13 M de Leeuw

We show that the conformally invariant boundary conditions for the three-state Potts model are exhausted by the eight known solutions. Their structure is seen to be similar to the one in a free field theory that leads to the existence of…

High Energy Physics - Theory · Physics 2009-10-31 J. Fuchs , C. Schweigert

It is known that certain AdS boundary conditions allow smooth initial data to evolve into a big crunch. To study this type of cosmological singularity, one can use the dual quantum field theory, where the non-standard boundary conditions…

High Energy Physics - Theory · Physics 2010-03-29 Alice Bernamonti , Ben Craps

Many observables in 4d $\mathcal N=4$ SYM with Gaiotto-Witten boundary conditions can be described exactly by matrix models via supersymmetric localization. The boundaries typically introduce new degrees of freedom, through a reduction of…

High Energy Physics - Theory · Physics 2025-10-06 Dongming He , Christoph F. Uhlemann