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We study a general class of functionals providing an analytic handle on the conformal bootstrap equations in one dimension. We explicitly identify the extremal functionals, corresponding to theories saturating conformal bootstrap bounds, in…

High Energy Physics - Theory · Physics 2019-03-27 Dalimil Mazac , Miguel F. Paulos

We consider the bulk $\phi^3$ deformation of the free boundary conformal field theory in the $\epsilon$ expansion. We determine the leading corrections to the scaling dimensions of boundary fundamental operators and some boundary operator…

High Energy Physics - Theory · Physics 2026-05-18 Yongwei Guo , Wenliang Li

We introduce a new approach to the study of the crossing equation for CFTs in the presence of a boundary. We argue that there is a basis for this equation related to the generalized free field solution. The dual basis is a set of linear…

High Energy Physics - Theory · Physics 2019-11-25 Apratim Kaviraj , Miguel F. Paulos

We propose an intrinsic CFT definition of local bulk operators in AdS3/CFT2 in terms of twisted Ishibashi boundary states. The bulk field Phi(X) creates a cross cap, a circular hole with opposite edge points identified, in the CFT…

High Energy Physics - Theory · Physics 2015-07-20 Herman Verlinde

We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

Using the numerical modular bootstrap, we constrain the space of 1+1d CFTs with a finite non-invertible global symmetry described by a fusion category $\mathcal{C}$. We derive universal and rigorous upper bounds on the lightest…

High Energy Physics - Theory · Physics 2023-07-12 Ying-Hsuan Lin , Shu-Heng Shao

In this paper, we introduce the Freelance Holography Program, an extension of the AdS/CFT correspondence within the saddle-point approximation that opens several novel directions. This framework generalizes holography beyond the asymptotic…

High Energy Physics - Theory · Physics 2025-09-26 Vahid Taghiloo

We utilize the DHM integral representation for the BES dressing factor of the world-sheet S-matrix of the AdS_5xS^5 light-cone string theory, and the crossing equations to fix the principal branch of the dressing factor on the rapidity…

High Energy Physics - Theory · Physics 2015-05-13 Gleb Arutyunov , Sergey Frolov

In this work, we develop a systematic formalism to evaluate the upper bound of a large family of holographic entanglement entropy combinations when fixing $n$ subsystems and fine-tuning one other subsystem. The upper bound configurations…

High Energy Physics - Theory · Physics 2025-09-12 Xin-Xiang Ju , Ya-Wen Sun , Yang Zhao

We show that suitably regulated multi-trace primary states in large N CFTs behave like `in' and `out' scattering states in the flat-space limit of AdS. Their transition matrix elements approach the exact scattering amplitudes for the bulk…

High Energy Physics - Theory · Physics 2015-03-19 A. Liam Fitzpatrick , Jared Kaplan

The overlaps between integrable matrix product states (MPS) and Bethe states are important in both the non-equilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a…

High Energy Physics - Theory · Physics 2024-12-02 Tamas Gombor

We study the $2\rightarrow2$ $S$-matrix element of a generic, gapped and Lorentz invariant QFT in $d=1+1$ space time dimensions. We derive an analytical bound on the coupling of the asymptotic states to unstable particles (a.k.a.…

High Energy Physics - Theory · Physics 2018-09-26 N. Doroud , J. Elias Miró

We show that the recently proposed free boundary conditions for AdS$_3$ are dual to two-dimensional quantum gravity in certain fixed gauges. In particular, we note that an appropriate identification of the generator of Virasoro…

High Energy Physics - Theory · Physics 2014-04-02 Luis Apolo , Massimo Porrati

For a boundary CFT to give a good approximation to the bulk flat-space S-matrix, a number of conditions need to be satisfied: some of those are investigated here. In particular, one would like to identify an appropriate set of approximate…

High Energy Physics - Theory · Physics 2016-09-21 Mirah Gary , Steven B. Giddings

We take the first step in extending the integrability approach to one-point functions in AdS/dCFT to higher loop orders. More precisely, we argue that the formula encoding all tree-level one-point functions of SU(2) operators in the defect…

High Energy Physics - Theory · Physics 2018-01-03 Isak Buhl-Mortensen , Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Matthias Wilhelm

Recently it was proposed that microscopic models of braneworld cosmology could be realized in the context of AdS/CFT using black hole microstates containing an end-of-the-world brane. Motivated by a desire to establish the microscopic…

High Energy Physics - Theory · Physics 2021-09-01 Stefano Antonini , Brian Swingle

The open string spectra of the B-type D-branes of the N=2 E-models are calculated. Using these results we match the boundary states to the matrix factorisations of the corresponding Landau-Ginzburg models. The identification allows us to…

High Energy Physics - Theory · Physics 2010-02-03 Christoph A. Keller , Sebastiano Rossi

We investigate the exact overlaps between eigenstates of integrable spin chains and a special class of states called "integrable initial/final states". These states satisfy a special integrability constraint, and they are closely related to…

Statistical Mechanics · Physics 2021-05-05 Tamás Gombor , Balázs Pozsgay

We introduce an efficient method to calculate the ground state of one-dimensional lattice models with periodic boundary conditions. The method works in the representation of Matrix Product States (MPS), related to the Density Matrix…

Strongly Correlated Electrons · Physics 2010-02-16 Peter Pippan , Steven R. White , Hans Gerd Evertz

We first analyse the integrable scattering theory describing the massless excitations of $AdS_2 \times S^2 \times T^6$ superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Fontanella , Alessandro Torrielli