Junctions of mass-deformed nonlinear sigma models on SO(2N)/U(N) and Sp(N)/U(N). Part II

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Taegyu Kim ◽  
Sunyoung Shin
Keyword(s):  
Sigma Models ◽  
Complex Projective Space ◽  
Sigma Model ◽  
Grassmann Manifold ◽  
Nonlinear Sigma Model ◽  
Harmonic Superspace ◽  
Projective Superspace ◽  
Superspace Formalism ◽  
Complex Projective ◽  
Nonlinear Sigma Models

Abstract We construct three-pronged junctions of mass-deformed nonlinear sigma models on SO(2N)/U(N) and Sp(N )/U(N ) for generic N. We study the nonlinear sigma models on the Grassmann manifold or on the complex projective space. We discuss the relation between the nonlinear sigma model constructed in the harmonic superspace for- malism and the nonlinear sigma model constructed in the projective superspace formalism by comparing each model with the $$ \mathcal{N} $$ N = 2 nonlinear sigma model constructed in the $$ \mathcal{N} $$ N = 1 superspace formalism.

NON-RENORMALIZABILITY OF THE MASSIVE N = 2 SUPER-YANG–MILLS THEORY

1991 ◽  
Vol 06 (23) ◽  
pp. 2143-2154 ◽  
Author(s):  
G. A. KHELASHVILI ◽  
V. I. OGIEVETSKY
Keyword(s):  
Perturbation Theory ◽  
Fourth Order ◽  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Harmonic Superspace ◽  
Yang Mills ◽  
Super Yang Mills Theory

The massive N = 2 supersymmetric Yang–Mills theory is investigated. Its non-renormalizability is revealed starting from the fourth order of the perturbation theory. The N = 2 harmonic superspace approach and the Stueckelberg-like formalism are used. The Stueckelberg fields form some nonlinear sigma model. Non-renormalizability of the latter produces non-renormalizability of the N = 2 supersymmetric Yang–Mills theory.

scholarly journals Massive nonlinear sigma models and BPS domain walls in harmonic superspace

2004 ◽  
Vol 680 (1-3) ◽  
pp. 23-50 ◽  
Author(s):  
Masato Arai ◽  
Evgeny Ivanov ◽  
Jiri Niederle
Keyword(s):  
Sigma Models ◽  
Domain Walls ◽  
Harmonic Superspace ◽  
Nonlinear Sigma Models

scholarly journals Algebra of Nonlocal Charges in Supersymmetric Nonlinear Sigma Models

1997 ◽  
Vol 12 (02) ◽  
pp. 419-436 ◽  
Author(s):  
L. E. Saltini ◽  
A. Zadra
Keyword(s):  
Sigma Models ◽  
Sigma Model ◽  
Graphic Method ◽  
Two Dimensional ◽  
Conserved Charges ◽  
Classical Algebra ◽  
Dirac Brackets ◽  
Yangian Algebra ◽  
Graphic Methods ◽  
Nonlinear Sigma Models

We propose a graphic method to derive the classical algebra (Dirac brackets) of nonlocal conserved charges in the two-dimensional supersymmetric nonlinear O(N) sigma model. As in the purely bosonic theory we find a cubic Yangian algebra. We also consider the extension of graphic methods to other integrable theories.

scholarly journals FREE MOTION ON THE SPHERES (THE 0+1 NONLINEAR SIGMA MODEL)

1994 ◽  
Vol 09 (31) ◽  
pp. 5455-5468 ◽  
Author(s):  
LUIS J. BOYA
Keyword(s):  
Sigma Models ◽  
Ground State ◽  
Sigma Model ◽  
Orbit Space ◽  
Free Motion ◽  
Nonlinear Sigma Model ◽  
Quantum Level ◽  
Ground State Degeneracy ◽  
Casimir Operators

We study the free motion of a particle on a sphere SN −1, at both the classical and the quantum level. Particular attention is paid to such aspects as ground state degeneracy, orbit space, orthogonal symmetry and its quantum implementation, superintegrability, Casimir operators, spectrum-generating groups, as well as supersymmetric solutions and extensions, all with a view to obtaining a better understanding of the field-theoretic sigma models.

scholarly journals NEW SPIN-2 GAUGED SIGMA MODELS AND GENERAL CONFORMAL FIELD THEORY

1998 ◽  
Vol 13 (26) ◽  
pp. 4487-4512 ◽  
Author(s):  
J. DE BOER ◽  
M. B. HALPERN
Keyword(s):  
Field Theory ◽  
Sigma Models ◽  
Large Class ◽  
Sigma Model ◽  
Field Theories ◽  
Nonlinear Sigma Model ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Local Gauge Symmetry ◽  
Action Formulation

Recently, we have studied the general Virasoro construction at one loop in the background of the general nonlinear sigma model. Here, we find the action formulation of these new conformal field theories when the background sigma model is itself conformal. In this case, the new conformal field theories are described by a large class of new spin-2 gauged sigma models. As examples of the new actions, we discuss the spin-2 gauged WZW actions, which describe the conformal field theories of the generic affine-Virasoro construction, and the spin-2 gauged g/h coset constructions. We are able to identify the latter as the actions of the local Lie h-invariant conformal field theories, a large class of generically irrational conformal field theories with a local gauge symmetry.

On submersions of the complex indicatrix

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5081-5092
Author(s):  
Elena Popovicia
Keyword(s):  
Fixed Point ◽  
Complex Projective Space ◽  
Finsler Space ◽  
Hermitian Manifold ◽  
Almost Hermitian Manifold ◽  
Codimension One ◽  
Real Submanifold ◽  
Fundamental Equations ◽  
Complex Projective ◽  
Extrinsic Sphere

In this paper we study the complex indicatrix associated to a complex Finsler space as an embedded CR - hypersurface of the holomorphic tangent bundle, considered in a fixed point. Following the study of CR - submanifolds of a K?hler manifold, there are investigated some properties of the complex indicatrix as a real submanifold of codimension one, using the submanifold formulae and the fundamental equations. As a result, the complex indicatrix is an extrinsic sphere of the holomorphic tangent space in each fibre of a complex Finsler bundle. Also, submersions from the complex indicatrix onto an almost Hermitian manifold and some properties that can occur on them are studied. As application, an explicit submersion onto the complex projective space is provided.

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