Results 61 to 70 of about 961,859 (173)
Novel Symmetries in Christ-Lee Model [PDF]
We demonstrate that the gauge-fixed Lagrangian of the Christ-Lee model respects four fermionic symmetries, namely; (anti-)BRST symmetries, (anti-)co-BRST symmetries within the framework of BRST formalism. The appropriate anticommutators amongst the fermionic symmetries lead to a unique bosonic symmetry.
arxiv +1 more source
Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems [PDF]
. The main aim of this work is to develop a method of constructing higher Hamiltonians of quantum integrable systems associated with the solution of the Zamolodchikov tetrahedral equation. As opposed to the result of V.V. Bazhanov and S.M.
Geometry, Integrability Symmetry
core
Casimir repulsion between metallic objects in vacuum
We give an example of a geometry in which two metallic objects in vacuum experience a repulsive Casimir force. The geometry consists of an elongated metal particle centered above a metal plate with a hole.
Johnson, Steven G.+4 more
core +1 more source
Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System [PDF]
Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifibrated geometry in dynamical systems with a symmetry group such that the ...
Fassò, Francesco, Giacobbe, Andrea
core +4 more sources
Loops in SU(2), Riemann Surfaces, and Factorization, I [PDF]
. In previous work we showed that a loop g : S 1 → SU(2) has a triangular factorization if and only if the loop g has a root subgroup factorization. In this paper we present generalizations in which the unit disk and its double, the sphere, are replaced ...
Geometry, Integrability Symmetry
core
Novel discrete symmetries in the general N = 2 supersymmetric quantum mechanical model
In addition to the usual supersymmetric (SUSY) continuous symmetry transformations for the general N = 2 SUSY quantum mechanical model, we show the existence of a set of novel discrete symmetry transformations for the Lagrangian of the above SUSY quantum
Kumar, R., Malik, R. P.
core +1 more source
Non-perturbative Gauge Groups and Local Mirror Symmetry [PDF]
We analyze D-brane states and their central charges on the resolution of C^2/Z_n by using local mirror symmetry. There is a point in the moduli space where all n(n-1)/2 branches of the principal component of the discriminant locus coincide. We argue that
Skarke, H.
core +2 more sources
Tetrad gravity, electroweak geometry and conformal symmetry
A partly original description of gauge fields and electroweak geometry is proposed. A discussion of the breaking of conformal symmetry and the nature of the dilaton in the proposed setting indicates that such questions cannot be definitely answered in ...
Canarutto D.+9 more
core +1 more source
Enumerative aspects of the Gross-Siebert program [PDF]
We present enumerative aspects of the Gross-Siebert program in this introductory survey. After sketching the program's main themes and goals, we review the basic definitions and results of logarithmic and tropical geometry.
A. Gathmann+28 more
core +2 more sources
Symmetries in Riemann-Cartan Geometries [PDF]
Riemann-Cartan geometries are geometries that admit non-zero curvature and torsion tensors. These geometries have been investigated as geometric frameworks for potential theories in physics including quantum gravity theories and have many important differences when compared to Riemannian geometries.
arxiv +1 more source