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We review non-linear sigma-models with (2,1) and (2,2) supersymmetry. We focus on off-shell closure of the supersymmetry algebra and give a complete list of (2,2) superfields. We provide evidence to support the conjecture that all N=(2,2)…

High Energy Physics - Theory · Physics 2016-12-21 Alexander Sevrin , Jan Troost

We show that for all the three standard symmetry classes (unitary, orthogonal and symplectic), the conventional replica nonlinear sigma model gives the correct non-perturbative result for the two-level correlation functions R_2(\omega) of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Igor V. Yurkevich , Igor V. Lerner

We consider a U(1) Gauged Linear Sigma Model (GLSM) with (2,2) supersymmetry, leading to a susy vacua of the resolved conifold. It possesses the non-Abelian global symmetry SU(2)xSU(2). A non-Abelian T-duality can be constructed which can…

High Energy Physics - Theory · Physics 2022-01-03 Nana Geraldine Cabo Bizet , Yulier Jiménez Santana , Roberto Santos Silva

The spontaneous symmetry breaking of rotational O(N) symmetry in noncommutative field theory is investigated in a 2+1 dimensional model of scalar fields coupled through a combination of quartic and sextuple self-interactions. There are five…

High Energy Physics - Theory · Physics 2009-11-07 H. O. Girotti , M. Gomes , A. Yu. Petrov , V. O. Rivelles , A. J. da Silva

We show how to obtain the O(N) non-linear sigma model in two dimensions as a strong coupling limit of the corresponding linear sigma model. In taking the strong coupling limit, the squared mass parameter must be given a specific coupling…

High Energy Physics - Theory · Physics 2009-11-10 Hidenori Sonoda

We show that the superconformal symmetries of the (1,1) sigma model decompose into a set of more refined symmetries when the target space admits projectors $P_{\pm}$, and the orthogonal complements $Q_{\pm}$, covariantly constant with…

High Energy Physics - Theory · Physics 2010-11-19 Vid Stojevic

In [1,2] it was shown that the subleading soft photon theorem in tree level amplitudes in massless QED is equivalent to a new class of symmetries of the theory parameterized by a vector field on the celestial sphere. In this paper, we…

High Energy Physics - Theory · Physics 2018-07-04 Alok Laddha , Prahar Mitra

Boundaries in gauge theory and gravity give rise to symmetries and charges at both finite and asymptotic distance. Due to their structural similarities, it is often held that soft modes are some kind of asymptotic limit of edge modes. Here,…

High Energy Physics - Theory · Physics 2025-08-29 Goncalo Araujo-Regado , Philipp A. Hoehn , Francesco Sartini , Bilyana Tomova

We present preliminary numerical results from a lattice study of the two-dimensional O(3) non-linear sigma model. In the continuum this model possesses N=2 supersymmetry. The lattice formulation we use retains an exact (twisted)…

High Energy Physics - Lattice · Physics 2009-11-10 Sofiane Ghadab

Electromagnetism contains an infinite dimensional symmetry group of large gauge transformations. This gives rise to an infinite number of conserved quantities called "soft charges" via Noether's theorem. When charged particles scatter, the…

High Energy Physics - Theory · Physics 2021-12-13 Noah Miller

General formulae for the soft SUSY breaking terms, valid in any SUGRA context, were derived in the mid-nineties. Since SUSY is not expected to have quantum anomalies, they should be valid in the quantum theory and be RG invariant down to…

High Energy Physics - Theory · Physics 2015-06-03 S. P. de Alwis

We show that the noncommutativity of space-time destroys the renormalizability of the 1/N expansion of the O(N) Gross-Neveu model. A similar statement holds for the noncommutative nonlinear sigma model. However, we show that, up to the…

High Energy Physics - Theory · Physics 2009-11-07 H. O. Girotti , M. Gomes , V. O. Rivelles , A. J. da Silva

We present a detailed study of quantized noncompact, nonlinear SO(1,N) sigma-models in arbitrary space-time dimensions D \geq 2, with the focus on issues of spontaneous symmetry breaking of boost and rotation elements of the symmetry group.…

High Energy Physics - Theory · Physics 2010-11-05 A. Duncan , M. Niedermaier , E. Seiler

We find a non-perturbative saddle-point solution for the non-linear sigma model proposed by Finkelstein for interacting and disordered electronic systems. Spin rotation symmetry, present in the original saddle point solution, is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Claudio Chamon , Eduardo R. Mucciolo

Supersymmetric nonlinear sigma models are formulated as gauge theories. Auxiliary chiral superfields are introduced to impose supersymmetric constraints of F-type. Target manifolds defined by F-type constraints are always non-compact. In…

High Energy Physics - Theory · Physics 2007-05-23 Kiyoshi Higashijima , Muneto Nitta

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 the universality between a discrete spin model with icosahedral symmetry and the O(3) model in two dimensions. For this purpose we study numerically the renormalized two-point functions of the spin field and the four point coupling…

High Energy Physics - Lattice · Physics 2009-10-31 A. Patrascioiu , E. Seiler

We consider a generic scenario of spontaneous breaking of supersymmetry in the hidden sector within N=1 supersymmetric orientifold compactifications of type II string theories with D-branes that support semi-realistic chiral gauge theories.…

High Energy Physics - Theory · Physics 2010-11-19 Boris Kors , Pran Nath

We show that in supersymmetric theories, knowing the soft theorem for a single particle in a supermultiplet allows one to immediately determine soft theorems for the remainder of the supermultiplet. While soft theorems in supersymmetric…

High Energy Physics - Theory · Physics 2025-05-07 Adam Tropper

Known examples of the holographic dictionary in asymptotically Anti-de Sitter spacetimes equate moduli spaces of bulk vacua with conformal manifolds in the dual quantum field theory. We demonstrate that the same identification holds for…

High Energy Physics - Theory · Physics 2023-03-15 Daniel Kapec , Y. T. Albert Law , Sruthi A. Narayanan