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Related papers: Hidden Gauge Symmetry in Holomorphic Models

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In this article we show how holomorphic Riemannian geometry can be used to relate certain submanifolds in one pseudo-Riemannian space to submanifolds with corresponding geometric properties in other spaces. In order to do so, we shall first…

Differential Geometry · Mathematics 2016-04-20 Victor Pessers , Joeri Van der Veken

We review the gauge symmetry breaking mechanism due to orbifold projections in orbifold model building. We explicitly show the existence of a scale of breaking if such a symmetry breaking is due to freely-acting orbifold operators only,…

High Energy Physics - Theory · Physics 2008-11-26 Michele Trapletti

Using techniques from supergravity and dimensional reduction, we study the full isometry algebra of K\"ahler and quaternionic manifolds with special geometry. These two varieties are related by the so-called c-map, which can be understood…

High Energy Physics - Theory · Physics 2009-10-22 B. de Wit , F. Vanderseypen , A. Van Proeyen

The paper is the first of two parts of the work devoted to the investigation of constructing quantum theory of a closed universe as a system without asynptotic states. In Part I the role of asymptotic states in quantum theory of gravity is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. A. Savchenko , T. P. Shestakova , G. M. Vereshkov

The theory of symmetry breaking in presence of gauge fields is presented, following the historical track. Particular emphasis is placed upon the underlying concepts.

High Energy Physics - Theory · Physics 2007-05-23 Francois Englert

Consistent nontrivial interactions within a special class of covariant mixed-symmetry type tensor gauge fields of degree three are constructed from the deformation of the solution to the master equation combined with specific cohomological…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , E. M. Cioroianu , I. Negru , S. O. Saliu

We discuss physical constructions, and the boundary properties of various symmetry protected topological phases that involve 1-form symmetries, from one spatial dimension (1d) to four spatial dimensions (4d). For example, the prototype 3d…

Strongly Correlated Electrons · Physics 2021-02-24 Chao-Ming Jian , Xiao-Chuan Wu , Yichen Xu , Cenke Xu

We show that a large class of symmetry enriched (topological) phases of matter in 2+1 dimensions can be embedded in "larger" topological phases- phases describable by larger hidden Hopf symmetries. Such an embedding is analogous to anyon…

Strongly Correlated Electrons · Physics 2014-12-09 Ling-Yan Hung , Yidun Wan

Why is gauge symmetry so important in modern physics, given that one must eliminate it when interpreting what the theory represents? In this paper we discuss the sense in which gauge symmetry can be fruitfully applied to constrain the space…

History and Philosophy of Physics · Physics 2021-05-25 Bryan W. Roberts , Henrique Gomes , Jeremy Butterfield

We study the phenomenology of a class of models describing modular invariant gaugino condensation in the hidden sector of a low-energy effective theory derived from the heterotic string. Placing simple demands on the resulting observable…

High Energy Physics - Phenomenology · Physics 2014-11-17 Mary K. Gaillard , Brent D. Nelson

In the Hamiltonian formulation, it is not a priori clear whether a symmetric configuration will keep its symmetry during evolution. In this paper, we give precise requirements of when this is the case and propose a symmetry restriction to…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Wojciech Kamiński , Klaus Liegener

Recent advancements in generalized symmetries have drawn significant attention to gapped phases of matter exhibiting novel symmetries, such as noninvertible symmetries. By leveraging the duality transformations, the classification and…

Strongly Correlated Electrons · Physics 2026-01-16 Weiguang Cao , Masahito Yamazaki , Linhao Li

The Hamiltonian formulation of the Holst action in vacuum and in the presence of matter fields is analyzed in a generic local Lorentz frame. It is elucidated how the SU(2) gauge symmetry is inferred by reducing the set of constraints to a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Francesco Cianfrani

We illustrate how geometric gauge forces and topological phase effects emerge in quantum systems without employing assumptions that rely on adiabaticity. We show how geometric magnetism may be harnessed to engineer novel quantum devices…

Quantum Physics · Physics 2015-10-28 Bernard Zygelman

We analyze carefully the problem of gauge symmetries for Bianchi models, from both the geometrical and dynamical points of view. Some of the geometrical definitions of gauge symmetries (=``homogeneity preserving diffeomorphisms'') given in…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Olivier Coussaert , Marc Henneaux

Using well known Lagrangean techniques for uncovering the gauge symmetries of a Lagrangean, we derive the transformation laws for the phase space variables corresponding to local symmetries of the Hamilton equations of motion. These…

High Energy Physics - Theory · Physics 2015-06-26 Heinz J. Rothe

We reconsider the gauge hierarchy problem from the viewpoint of effective field theories and a high-energy physics, motivated by the alternative scenario that the standard model holds up to a high-energy scale such as the Planck scale. The…

High Energy Physics - Phenomenology · Physics 2015-10-07 Yoshiharu Kawamura

Atoms confined in a harmonic potential show universal oscillations in 2D. We point out the connection of these ''breathing'' modes to the presence of a hidden symmetry. The underlying symmetry SO(2,1), i.e. the two dimensional Lorentz…

Condensed Matter · Physics 2016-08-31 L. P. Pitaevskii , A. Rosch

Complex numbers enter fundamental physics in at least two rather distinct ways. They are needed in quantum theories to make linear differential operators into Hermitian observables. Complex structures appear also, through Hodge duality, in…

Mathematical Physics · Physics 2022-03-14 Andrzej Trautman

In the conventional formalism of physics, with 1-time, systems with different Hamiltonians or Lagrangians have different physical interpretations and are considered to be independent systems unrelated to each other. However, in this paper…

High Energy Physics - Theory · Physics 2014-03-26 Ignacio J. Araya , Itzhak Bars