Scale invariant gauge theories and self-duality in higher dimensions

1986 ◽  
Vol 277 ◽  
pp. 487-508 ◽  
Author(s):  
Cihan Saçlioǧlu
Keyword(s):  
Gauge Theories ◽  
Higher Dimensions ◽  
Scale Invariant ◽  
Self Duality ◽  
Invariant Gauge

scholarly journals Holographic models of composite Higgs in the Veneziano limit. Part I. Bosonic sector

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Daniel Elander ◽  
Michele Frigerio ◽  
Marc Knecht ◽  
Jean-Loïc Kneur
Keyword(s):  
Symmetry Breaking ◽  
Gauge Theories ◽  
Scale Invariant ◽  
Strongly Coupled ◽  
Mass Gap ◽  
Composite Higgs ◽  
Holographic Approach ◽  
Scaling Dimension ◽  
Invariant Gauge ◽  
Domain Of Validity

Abstract We study strongly-coupled, approximately scale-invariant gauge theories, which develop a mass gap in the infrared. We argue that a large number of fermion flavours is most suitable to provide an ultraviolet completion for the composite Higgs scenario. The holographic approach allows to describe the qualitative features of the non-perturbative dynamics in the Veneziano limit. We introduce new bottom-up holographic models, which incorporate the backreaction of flavour on the geometry, and show that this can correlate the mass gap to the scale of flavour-symmetry breaking. We compute the mass spectrum for the various composite bosonic states, and study its dependence on the scaling dimension of the symmetry-breaking operators, as well as on the number of flavours. The different regions with a light dilaton are critically surveyed. We carefully assess the domain of validity of the holographic approach, and compare it with lattice simulations and the Nambu-Jona-Lasinio model.

scholarly journals Cohomological localization of $$ \mathcal{N} $$ = 2 gauge theories with matter

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Guido Festuccia ◽  
Anastasios Gorantis ◽  
Antonio Pittelli ◽  
Konstantina Polydorou ◽  
Lorenzo Ruggeri
Keyword(s):  
Vector Field ◽  
Extended Supersymmetry ◽  
General Framework ◽  
Gauge Theories ◽  
Killing Vector ◽  
Killing Vector Field ◽  
Explicit Result ◽  
Yang Mills ◽  
Self Duality ◽  
Witten Theory

Abstract We construct a large class of gauge theories with extended supersymmetry on four-dimensional manifolds with a Killing vector field and isolated fixed points. We extend previous results limited to super Yang-Mills theory to general $$ \mathcal{N} $$ N = 2 gauge theories including hypermultiplets. We present a general framework encompassing equivariant Donaldson-Witten theory and Pestun’s theory on S4 as two particular cases. This is achieved by expressing fields in cohomological variables, whose features are dictated by supersymmetry and require a generalized notion of self-duality for two-forms and of chirality for spinors. Finally, we implement localization techniques to compute the exact partition function of the cohomological theories we built up and write the explicit result for manifolds with diverse topologies.

scholarly journals PANDORA'S BOX AND NON-SELFDUAL TOPOLOGICAL EXCITATIONS

2010 ◽  
Vol 25 (02n03) ◽  
pp. 278-288 ◽  
Author(s):  
MITHAT ÜNSAL
Keyword(s):  
Gauge Theories ◽  
Chiral Symmetry Breaking ◽  
Abelian Gauge ◽  
Topological Excitations ◽  
First Order ◽  
New Class ◽  
Self Duality ◽  
Large N ◽  
Composite Nature ◽  
Physical Phenomena

In the last few years, we have realized the existence of a new class of topological excitations, which are rather distinct from the platonic world of monopoles, monopole-instantons and instantons. All of the latter arise as solutions of the Prasad-Sommerfield type first order differential (self-duality) equations and have been extensively discussed in the context of confinement and chiral symmetry breaking for the last 30 years. However, new calculable deformations of asymptotically free chiral and vector-like gauge theories give us a new picture of these physical phenomena. Most often, the excitations which lead to confinement are not solutions to PS-type equations, they are non-selfdual and they are often bizarre. They are referred to as magnetic bions, triplets, and quintets, due to their composite nature. Bizarre as they are, combined with large-N volume independence, these novel non-self-dual excitations may also provide hope that at least some non-abelian gauge theories may be solvable.

Self-duality for eight-dimensional gauge theories

1985 ◽  
Vol 32 (4) ◽  
pp. 990-994 ◽  
Author(s):  
Y. Brihaye ◽  
C. Devchand ◽  
J. Nuyts
Keyword(s):  
Gauge Theories ◽  
Self Duality

STATISTICS OF 2D SOLITONS

1992 ◽  
Vol 07 (11) ◽  
pp. 2589-2600 ◽  
Author(s):  
LEE BREKKE ◽  
TOM D. IMBO
Keyword(s):  
Sigma Models ◽  
Gauge Theories ◽  
Higher Dimensions ◽  
Fractional Statistics ◽  
Topological Solitons ◽  
Multiply Connected ◽  
Target Manifold ◽  
Definition Of ◽  
Spin And Statistics ◽  
Nonlinear Sigma Models

We study the inequivalent quantizations of (1 + 1)-dimensional nonlinear sigma models with space manifold S1 and target manifold X. If X is multiply connected, these models possess topological solitons. After providing a definition of "spin" and "statistics" for these solitons and demonstrating a spin-statistics correlation, we give various exmples where the solitons can have exotic statistics. In some of these models, the solitons may obey a generalized version of fractional statistics called ambistatistics. The relevance of these 2D models to the statistics of vortices in (2 + 1)-dimensional spontaneously broken gauge theories is also discussed. We close with a discussion concerning the extension of our results to higher dimensions.

Sign in / Sign up

Export Citation Format

Share Document