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We study three-dimensional conformal field theories with a large-$N$ limit. Leveraging the framework of slightly broken higher-spin symmetry, we bootstrap correlation functions between the single-trace, local operators and straight,…

High Energy Physics - Theory · Physics 2025-05-16 Gwenaël Ferrando , Amit Sever , Elior Urisman

The normalization of the boundary superstring field theory action is determined by computing the near on-shell amplitude involving three gauge fields.

High Energy Physics - Theory · Physics 2007-05-23 Debashis Ghoshal

We consider fluctuations in the distribution of critical points - saddle points, minima and maxima - of random gaussian fields. We calculate the asymptotic limits of the two point correlation function for various critical point densities,…

Disordered Systems and Neural Networks · Physics 2011-12-12 Avraham Klein , Oded Agam

We study relevant deformations of conformal field theory on a cylinder using conformal perturbation theory, and in particular the one point function of the deformation operator and the energy in a system after a quench. We do the one point…

High Energy Physics - Theory · Physics 2014-11-05 David Berenstein , Alexandra Miller

We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out of the scalar fields acquire expectation values, and…

High Energy Physics - Theory · Physics 2010-04-07 Igor R. Klebanov , Edward Witten

The four point function of Conformal Field Theories (CFT's) with global symmetry gives rise to multiple crossing symmetry constraints. We explicitly study the correlator of four scalar operators transforming in the fundamental…

High Energy Physics - Theory · Physics 2015-05-28 Alessandro Vichi

Based on bulk reconstruction from the finite boundary of the Bruhat-Tits tree, the boundary effective theory is obtained after integrating out fields outside this boundary. According to the $~p$-adic version of Anti-de Sitter/Conformal…

High Energy Physics - Theory · Physics 2021-04-26 Feng Qu

We present a conformal field theory calculation of four-point and three-point correlation functions for the bosonic twist fields arising at the intersections of D-branes wrapping (supersymmetric) homology cycles of Type II orientifold…

High Energy Physics - Theory · Physics 2014-11-18 Mirjam Cvetic , Ioannis Papadimitriou

We consider 1+1 D theories which are free everywhere except for cosine and magnetic interactions on the boundary. These theories arise in dissipative quantum systems, open string theory, and, in special cases, tunneling in quantum Hall…

High Energy Physics - Theory · Physics 2016-09-06 Denise E. Freed

Topological phases of matter in (2+1) dimensions are commonly equipped with global symmetries, such as electric-magnetic duality in gauge theories and bilayer symmetry in fractional quantum Hall states. Gauging these symmetries into local…

Strongly Correlated Electrons · Physics 2017-10-04 Xiao Chen , Abhishek Roy , Jeffrey C. Y. Teo , Shinsei Ryu

We extend the work of [4] to support the conjecture that any conformal field theory with a large N expansion and a large gap in the spectrum of anomalous dimensions has a local bulk dual. We count to O(1/N^2) the solutions to the crossing…

High Energy Physics - Theory · Physics 2014-11-21 Idse Heemskerk , James Sully

The four point functions of chiral primary BPS operators in ${\cal N}=4$ superconformal Yang Mills are expressed in a form manifestly satisfying the superconformal Ward identities. They are subsequently expanded in terms of conformal…

High Energy Physics - Theory · Physics 2017-06-15 Christopher Rayson

The methods of conformal field theory are used to compute the crossing probabilities between segments of the boundary of a compact two-dimensional region at the percolation threshold. These probabilities are shown to be invariant not only…

High Energy Physics - Theory · Physics 2009-10-22 John Cardy

Six dimensional supergravities on $ADS_3 \times S^3$ present interest due to the role they play in the $AdS/CFT$ correspondence. The correspondence in this case states the equivalence between supergravity on the given background and a still…

High Energy Physics - Theory · Physics 2009-10-31 Mihail Mihailescu

In the context of the bulk-boundary correspondence we study the correlation functions arising on a boundary for different types of boundary conditions. The most general condition is the mixed one interpolating between the Neumann and…

High Energy Physics - Theory · Physics 2009-10-31 Sergey N. Solodukhin

In this paper (second in the series) we study the properties of tree-level binary amplitudes of the infinite-component effective field theory of strong interaction obeying the requirements of quark-hadron duality and maximal analyticity. In…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alexander V. Vereshagin , Vladimir V. Vereshagin

We prove convergence of renormalized correlations of primary fields, i. e., spins, disorders, fermions and energy densities, in the scaling limit of the critical Ising model in arbitrary finitely connected domains, with fixed (plus or…

Mathematical Physics · Physics 2022-02-24 Dmitry Chelkak , Clément Hongler , Konstantin Izyurov

It is established that if a harmonic function $u$ on the unit disk $\mathbb D$ in $\mathbb C$ has angular limits on a measurable set $E$ of the unit circle $\partial\mathbb D$, then its conjugate harmonic function $v$ in $\mathbb D$ also…

Complex Variables · Mathematics 2018-03-06 Vladimir Ryazanov

We provide numerical evidence that the low-lying part of the entanglement spectrum of a real-space block (i.e. a single interval) of a one-dimensional quantum many body system at a conformal critical point corresponds to the energy spectrum…

Statistical Mechanics · Physics 2013-03-05 Andreas M. Läuchli

We extend the work of Hellerman (arxiv:0902.2790) to derive an upper bound on the conformal dimension $\Delta_2$ of the next-to-lowest nontrival primary operator in unitary two-dimensional conformal field theories without chiral primary…

High Energy Physics - Theory · Physics 2015-06-18 Joshua D. Qualls , Alfred D. Shapere