Results 51 to 60 of about 100,306 (158)

Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT

Journal of High Energy Physics, 2017
In this paper we consider ϕ 4 theory in 4 − ϵ dimensions at the Wilson-Fisher fixed point where the theory becomes conformal. We extend the method in [1] for calculating the leading order term in the anomalous dimensions of some operators with spin. This
Konstantinos Roumpedakis
doaj   +1 more source

On the Explicit Asymptotic $\mathcal{W}_5$ Symmetry of 3D Chern-Simons Higher Spin $AdS_3$ Gravity

, 2018
In this paper, we explicitly construct an asymptotic $\mathcal{W}_5$ symmetry algebra of the three-dimensional anti-de Sitter $(AdS_3)$ higher spin gravity.
Filiz, Aytül, Özer, H. T.
core   +1 more source

Perturbative four-point functions from the analytic conformal bootstrap

Journal of High Energy Physics, 2018
We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar ...
Johan Henriksson, Tomasz Lukowski
doaj   +1 more source

Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory

, 2014
The classical Kepler problem, as well as its quantum mechanical version, the Hydrogen atom, enjoy a well-known hidden symmetry, the conservation of the Laplace-Runge-Lenz vector, which makes these problems superintegrable. Is there a relativistic quantum
Caron-Huot, Simon, Henn, Johannes M.
core   +1 more source

Harmonic analysis and mean field theory

Journal of High Energy Physics, 2019
We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform.
Denis Karateev, Petr Kravchuk, David Simmons-Duffin   +2 more
doaj   +1 more source

Modular differential equations with movable poles and admissible RCFT characters

Journal of High Energy Physics, 2023
Studies of modular linear differential equations (MLDE) for the classification of rational CFT characters have been limited to the case where the coefficient functions (in monic form) have no poles, or poles at special points of moduli space.
Arpit Das, Chethan N. Gowdigere, Sunil Mukhi, Jagannath Santara   +3 more
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Galilean contractions of $W$-algebras

, 2017
Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as $W$-algebras.
Rasmussen, Jorgen, Raymond, Christopher
core   +2 more sources

New Realisations of Minimal Models and the Structure of W-Strings

, 1993
The quantization of a free boson whose momentum satisfies a cubic constraint leads to a $c=\ha$ conformal field theory with a BRST symmetry. The theory also has a $W_\infty $ symmetry in which all the generators except the stress-tensor are BRST-exact ...
Batalin, Batalin, Bergshoeff, Bilal, C.M. Hull, Das, Das, Dotsenko, Dotsenko, Felder, Hull, Hull, Hull, Hull, Hull, Hull, Lu, Lu, Lu, Pope, Pope, Pope, Pope, Rama, Romans, Schoutens, Schoutens, Schoutens, Thierry-Mieg, Thorn, Thorn, Thorn, Witten, Zamolodchikov   +33 more
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Logarithmic extensions of minimal models: characters and modular transformations [PDF]

, 2006
We study logarithmic conformal field models that extend the (p,q) Virasoro minimal models. For coprime positive integers $p$ and $q$, the model is defined as the kernel of the two minimal-model screening operators.
A.M. Gainutdinov, A.M. Semikhatov, B.L. Feigin, Bouwknegt, Cardy, Cardy, Cardy, Carqueville, Chari, Dong, Dotsenko, Eberle, Essler, Feigin, Feigin, Feigin, Feigin, Feigin, Felder, Fjelstad, Flohr, Flohr, Flohr, Frenkel, Fuchs, Fuchs, Gaberdiel, Gaberdiel, Gaberdiel, Gurarie, Gurarie, Gurarie, Huang, I.Yu. Tipunin, Jeng, Kac, Kassel, Kausch, Kausch, Kerler, Kogan, Kogan, Lepowsky, Miyamoto, Miyamoto, Nichols, Nienhuis, Piroux, Rocha-Caridi, Saleur, Saleur, Watts, Zamolodchikov   +52 more
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Hecke relations among 2d fermionic RCFTs

Journal of High Energy Physics, 2023
Recently, Harvey and Wu proposed a suitable Hecke operator for vector-valued SL(2, ℤ) modular forms to connect the characters of different 2d rational conformal field theories (RCFTs).
Kimyeong Lee, Kaiwen Sun
doaj   +1 more source