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We use the functional renormalization group and the $\epsilon$-expansion concertedly to explore multicritical universality classes for coupled $\bigoplus_i O(N_i)$ vector-field models in three Euclidean dimensions. Exploiting the…

Statistical Mechanics · Physics 2016-03-04 Astrid Eichhorn , Thomas Helfer , David Mesterházy , Michael M. Scherer

We study two-dimensional non-linear sigma models with (2,2) supersymmetry and a holomorphic superpotential that are believed to flow to unitary compact (2,2) superconformal theories with equal left and right central charges c=9. The SCFTs…

High Energy Physics - Theory · Physics 2023-05-11 Griffen Adams , Ilarion V. Melnikov

We establish analytically that the potential of N=8 supergravity in four dimensions has a new N=1 supersymmetric critical point with U(1) x U(1) symmetry. We work within a consistent N=1 supersymmetric truncation and obtain the holographic…

High Energy Physics - Theory · Physics 2010-10-26 Thomas Fischbacher , Krzysztof Pilch , Nicholas P. Warner

We demonstrate that interacting ultraviolet fixed points in four dimensions exist at strong coupling, and away from large-$N$ Veneziano limits. This is established exemplarily for semi-simple supersymmetric gauge theories with chiral matter…

High Energy Physics - Theory · Physics 2022-05-25 Andrew D. Bond , Daniel F. Litim

We study a class of renormalization group flows on line defects that can be described by a generalized free field with ordered planar contractions on the line. They are realized, for example, in large $N$ gauge theories with matter in the…

High Energy Physics - Theory · Physics 2024-06-18 Ivri Nagar , Amit Sever , De-liang Zhong

Making use of the exact solutions of the $N=2$ supersymmetric gauge theories we construct new classes of superconformal field theories (SCFTs) by fine-tuning the moduli parameters and bringing the theories to critical points. SCFTs we have…

High Energy Physics - Theory · Physics 2011-05-05 Tohru Eguchi , Kentaro Hori , Katsushi Ito , Sung-Kil Yang

We study renormalization group flows in the Lifshitz-like $N$-flavour four fermi model discussed in 0905.2928. In the large-$N$ limit, a nontrivial flow occurs in only one of all possible marginal couplings and one relevant coupling, which…

High Energy Physics - Theory · Physics 2010-04-21 Avinash Dhar , Gautam Mandal , Partha Nag

We consider a RG flow in certain 2D coset models perturbed by the least relevant field. In the case of the symmetric su(2) coset model we show, up to second order of the perturbation theory, that there exists a nontrivial IR fixed point.We…

High Energy Physics - Theory · Physics 2018-11-21 Marian Stanishkov

We find a four-dimensional N=1 gauge theory which flows to the minimal interacting N=2 superconformal field theory, the Argyres-Douglas theory, in the infrared up to the extra free chiral multiplets. The gauge theory is obtained from a…

High Energy Physics - Theory · Physics 2017-04-19 Kazunobu Maruyoshi , Jaewon Song

This work, which accompanies [1], is about constructing smooth solutions in type II and eleven dimensional supergravity which describe supersymmetry preserving RG flows from four-dimensional SCFTs in the UV to three-dimensional SQFTs in the…

High Energy Physics - Theory · Physics 2026-05-15 Dimitrios Chatzis , Madison Hammond , Georgios Itsios , Carlos Nunez , Dimitrios Zoakos

We explore the idea that large $N$, non-supersymmetric conformal field theories with a parametrically large gap to higher spin single-trace operators may be obtained as infrared fixed points of relevant double-trace deformations of…

High Energy Physics - Theory · Physics 2018-04-04 Simone Giombi , Eric Perlmutter

We find exactly solvable N=2-supersymmetric flows whose infrared fixed points are the N=2 minimal models. The exact S-matrices and the Casimir energy (a c-function) are determined along the entire renormalization group trajectory. The…

High Energy Physics - Theory · Physics 2009-10-22 Paul Fendley , Ken Intriligator

We extend the superembedding formalism for 4D N=1 superconformal field theory (SCFT) to the case of fields in arbitrary representations of the superconformal group SU(2,2|1). As applications we obtain manifestly superconformally covariant…

High Energy Physics - Theory · Physics 2013-12-16 Walter D. Goldberger , Zuhair U. Khandker , Daliang Li , Witold Skiba

Enhancement of global symmetry and supersymmetry in the infrared is one of the most intriguing phenomena in quantum field theory. We investigate such phenomena in a large class of three dimensional superconformal field theories, known as…

High Energy Physics - Theory · Physics 2019-09-04 Ivan Garozzo , Gabriele Lo Monaco , Noppadol Mekareeya , Matteo Sacchi

A conformal field theory (CFT) in dimension $d\geq 3$ coupled to a planar, two-dimensional, conformal defect is characterized in part by a "central charge" $b$ that multiplies the Euler density in the defect's Weyl anomaly. For defect…

High Energy Physics - Theory · Physics 2016-03-09 Kristan Jensen , Andy O'Bannon

We search for weakly interacting fixed points in extensions of the minimally supersymmetric standard model (MSSM). Necessary conditions lead to three distinct classes of anomaly-free extensions involving either new quark singlets, new quark…

High Energy Physics - Phenomenology · Physics 2022-11-23 Gudrun Hiller , Daniel F. Litim , Kevin Moch

We study a rich set of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) with both central charges identical: $a = c$. We construct them via the diagonal $\mathcal{N}=1$ gauging of the flavor symmetry $G$ of a…

High Energy Physics - Theory · Physics 2023-03-28 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We ask when it is possible to construct arbitrary unitary multiplets of the superconformal algebra with eight Poincar\'e supercharges that are compatible with locality from (continuous deformations of) representations in free field…

High Energy Physics - Theory · Physics 2023-08-08 Matthew Buican , Hongliang Jiang

We propose a renormalization group flow with emergent supersymmetry in two dimensions from a non-Lagrangian theory. The ultraviolet theory does not have supersymmetry while the infrared theory does. We constrain the flow both analytically…

High Energy Physics - Theory · Physics 2026-02-06 Ken Kikuchi

It is speculated that the observed universe has a dual representation as renormalization group flow between two conformal fixed points of a three-dimensional Euclidean field theory. The infrared fixed point corresponds to the inflationary…

High Energy Physics - Theory · Physics 2009-11-07 Andrew Strominger