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The tricritical Ising CFT is the IR fixed-point of $\lambda\phi^6$ theory. It can be seen as a one-parameter family of CFTs connecting between an $\varepsilon$-expansion near the upper critical dimension 3 and the exactly solved minimal…

High Energy Physics - Theory · Physics 2025-12-11 Johan Henriksson

We study the positivity properties of the leading Regge trajectory in higher-dimensional, unitary, conformal field theories (CFTs). These conditions correspond to higher spin generalizations of the averaged null energy condition (ANEC). By…

High Energy Physics - Theory · Physics 2020-01-08 David Meltzer

A conformal field theory can be recovered, via the Kontsevich-Miwa transform, as a solution to the Virasoro constraints on the KP tau function. That theory, which we call KM CFT, consists of d \leq 1 matter plus a scalar and a dressing…

High Energy Physics - Theory · Physics 2007-05-23 Beatriz Gato-Rivera , Jose Ignacio Rosado

ADS/CFT models have achieved considerable success in describing hadronic properties such as masses and Regge trajectories. Even if the minimal vertex that couples photons to structureless spin-zero fields is used, one still ends up with…

High Energy Physics - Phenomenology · Physics 2018-10-24 Pervez Hoodbhoy

We classify the possible discrete (finite) symmetries of two--dimensional critical models described by unitary minimal conformally invariant theories. We find that all but six models have the group Z_2 as maximal symmetry. Among the six…

High Energy Physics - Theory · Physics 2009-10-31 P. Ruelle , O. Verhoeven

We consider unitary CFTs with continuous global symmetries in $d>2$. We consider a state created by the lightest operator of large charge $Q \gg 1$ and analyze the correlator of two light charged operators in this state. We assume that the…

High Energy Physics - Theory · Physics 2018-06-13 Daniel Jafferis , Baur Mukhametzhanov , Alexander Zhiboedov

A tensorial representation of $\phi^4$ field theory introduced in Phys. Rev. D. 93, 085005 (2016) is studied close to six dimensions, with an eye towards a possible realization of an interacting conformal field theory in five dimensions. We…

High Energy Physics - Theory · Physics 2018-07-04 Dietrich Roscher , Igor F. Herbut

Irrational conformal field theory (ICFT) includes rational conformal field theory as a small subspace, and the affine-Virasoro Ward identities describe the biconformal correlators of ICFT. We reformulate the Ward identities as an equivalent…

High Energy Physics - Theory · Physics 2009-10-22 M. B. Halpern , N. A. Obers

We show how the low-energy properties of the 2-leg XXZ spin-1/2 ladders with general anisotropy parameter $\Delta $ on closed geometries can be accounted for in the framework of the m-reduction procedure developed in [1]. In the limit of…

High Energy Physics - Theory · Physics 2009-06-10 Gerardo Cristofano , Vincenzo Marotta , Adele Naddeo , Giuliano Niccoli

We deform conformal field theories with classical gravity duals by marginally relevant random disorder. We show that the disorder generates a flow to IR fixed points with a finite amount of disorder. The randomly disordered fixed points are…

High Energy Physics - Theory · Physics 2014-06-18 Sean A. Hartnoll , Jorge E. Santos

We study the conformal field theory data (CFT-data) of planar 4D $\mathcal{N} = 4$ Super-Yang-Mills theory in the strong 't Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual…

High Energy Physics - Theory · Physics 2025-01-27 Julius Julius , Nika Sergeevna Sokolova

Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin, Polyakov, and Zamolodchikov [BPZ84a]. Both exhibit exactly solvable structures in two dimensions. A…

Mathematical Physics · Physics 2019-06-21 Clément Hongler , Fredrik Johansson Viklund , Kalle Kytölä

The method of large spin perturbation theory allows to analyse conformal field theories (CFT) by turning the crossing equations into an algebraic problem. We apply this method to a generic CFT with weakly broken higher spin (HS) symmetry,…

High Energy Physics - Theory · Physics 2017-11-22 Luis F. Alday

The possibility that gauge theories with chiral symmetry breaking below the conformal window exhibit an infrared fixed point is explored. With this assumption three aspects of pion physics are reproduced if the the quark mass anomalous…

High Energy Physics - Phenomenology · Physics 2023-08-16 Roman Zwicky

We propose a two-parameter family of modular invariant partition functions of two-dimensional conformal field theories (CFTs) holographically dual to pure three-dimensional gravity in anti de Sitter space. Our two parameters control the…

High Energy Physics - Theory · Physics 2019-05-01 Nathan Benjamin , Ethan Dyer , A. Liam Fitzpatrick , Yuan Xin

We compute correlators of two heavy and two light operators in the strong coupling and large $c$ limit of the D1D5 CFT which is dual to weakly coupled AdS$_3$ gravity. The light operators have dimension two and are scalar descendants of the…

High Energy Physics - Theory · Physics 2018-02-14 Alessandro Bombini , Andrea Galliani , Stefano Giusto , Emanuele Moscato , Rodolfo Russo

We study the infrared structure of the Standard Model (SM) restricted to the first generation of fermions, including the full SM gauge group, up to three-loop order, and determine the resulting cusp and collinear anomalous dimensions for…

High Energy Physics - Phenomenology · Physics 2025-01-28 Michael Stadlbauer , Tobias Theil

In this work, we classify all the possible local four-point couplings relevant for tree-level flat space $2 \rightarrow 2$ scattering of external massive particles of spin one and spin two which do not grow faster than $s^2$ at large $s$…

High Energy Physics - Theory · Physics 2023-12-27 Subham Dutta Chowdhury , Vipul Kumar , Suman Kundu , Asikur Rahaman

We study 3D Anti de Sitter Minimal Massive Gravity in two regimes: a) at the chiral limit where one of the boundary Brown-Henneaux central charges vanishes and two modes become null and b) in the regime that one of the two charges is much…

High Energy Physics - Theory · Physics 2025-09-26 Massimo Porrati , Xilin Sheng

We consider q-state Potts models coupled by their energy operators. Restricting our study to self-dual couplings, numerical simulations demonstrate the existence of non-trivial fixed points for 2 <= q <= 4. These fixed points were first…

Statistical Mechanics · Physics 2009-10-31 Vladimir Dotsenko , Jesper Lykke Jacobsen , Marc-Andre Lewis , Marco Picco
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