Results 61 to 70 of about 414 (184)
Holonomy groups andW-symmetries [PDF]
Communications in Mathematical Physics, 1993 Irreducible sigma models, i.e. those for which the partition function does not factorise, are defined on Riemannian spaces with irreducible holonomy groups. These special geometries are characterised by the existence of covariantly constant forms which in turn give rise to symmetries of the supersymmetric sigma model actions.
Howe, P. S., Papadopoulos, G.
openaire +3 more sources
Persistence of unknottedness of clean Lagrangian intersections
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley +1 more source
Natural Intrinsic Geometrical Symmetries
Symmetry, Integrability and Geometry: Methods and Applications, 2009 A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature ...
Stefan Haesen, Leopold Verstraelen
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Holonomy saddles and 5d BPS quivers
Journal of High Energy Physics, 2022 We study the Seberg-Witten geometry of 5d N $$ \mathcal{N} $$ = 1 pure Yang-Mills theories compactified on a circle. The concept of the holonomy saddle implies that there are multiple 4d limits of interacting Seiberg-Witten theories from a single 5d ...
Qiang Jia, Piljin Yi
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Fortschritte der Physik, Volume 73, Issue 8, August 2025.Abstract In this study, the properties, equilibrium, and stability of compact objects within the framework of teleparallel gravity with the generalized MIT bag model are investigated. By incorporating the modified field equations, the influence of the generalized bag constant on the structure and physical characteristics of quark stars and neutron ...
Sayantan Ghosh +2 more
wiley +1 more source
Scale and conformal invariance in heterotic σ-models
Journal of High Energy PhysicsWe demonstrate that all perturbative scale invariant heterotic sigma models with a compact target space M D are conformally invariant. The proof, presented in detail for up to and including two loops, utilises a geometric analogue of the c-theorem based ...
Georgios Papadopoulos
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On the Equilibrium Locus of a Parameterized Dynamical System with Independent First Integrals
MathematicsFor a family of dynamical systems with k>0 independent first integrals evolving in a compact region of a Euclidean space, we study the equilibrium locus.
Yirmeyahu Kaminski, Pierre Lochak
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Partition functions of Chern-Simons theory on handlebodies by radial quantization
Journal of High Energy Physics, 2021 We use radial quantization to compute Chern-Simons partition functions on handlebodies of arbitrary genus. The partition function is given by a particular transition amplitude between two states which are defined on the Riemann surfaces that define the ...
Massimo Porrati, Cedric Yu
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Elastic Curves With Variable Bending Stiffness
Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT We study stationary points of the bending energy of curves γ:[a,b]→Rn$\gamma: [a,b]\rightarrow \mathbb {R}^n$ subject to constraints on the arc length and the curve's holonomy while simultaneously allowing for a variable bending stiffness along the arc length of the curve.
Oliver Gross +2 more
wiley +1 more source
European Physical Journal C: Particles and FieldsIn this study, we examine a two-level atom freely falling into an effective model of a static, spherically symmetric, nonsingular black hole with holonomy corrections.
Ar Rohim, Anto Sulaksono
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