Results 81 to 90 of about 971 (194)
Foundations of Wilson Lines and Loops From Basic Concepts to Gauge Field Reconstruction
Fortschritte der Physik, Volume 74, Issue 10, October 2026.Wilson lines and Wilson loops are reviewed as parallel transport observables in continuum gauge theory. Full holonomy data recover the local connection and curvature through short segment and small loop limits. Traced Wilson loops are gauge invariant but lose matrix information, so reconstruction requires a compatible lift constrained by trace ...
Shokoufe Faraji
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T-duality to scattering amplitude and Wilson loop in non-commutative super Yang-Mills theory
Journal of High Energy Physics, 2018 We first perform bosonic T-duality transformation on one of the marginal TsT (T-duality, shift, T-duality)-deformed AdS 5×S 5 spacetime, which corresponds to 4D N=4 $$ \mathcal{N}=4 $$ non-commutative super Yang-Mills theory (NCSYM).
Song He, Hongfei Shu
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Geographical Analysis, Volume 58, Issue 4, October 2026.ABSTRACT Scale is central to inference in natural and social systems, and geography and ecology have treated it as an explicit object of theory for decades. This paper builds on that work with a formal view in which scale is a degree of freedom of description, parameterizing both the mappings between representations and the metric defining distance and
Eric Vaz
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Gibbons–Tsarev Type Systems and Eventual Identities
Studies in Applied Mathematics, Volume 157, Issue 4, October 2026.ABSTRACT We show that non‐diagonalizable reductions of the dKP equation associated with regular non‐semisimple F$F$‐manifolds cannot exist. The proof is based on the derivation and study of a generalized Gibbons–Tsarev system (gGT system) in the non‐semisimple/non‐diagonalizable setting.
Alessandro Arsie +3 more
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Generalised kinematics for double field theory
Journal of High Energy Physics, 2017 We formulate a kinematical extension of Double Field Theory on a 2d-dimensional para-Hermitian manifold Pηω $$ \left(\mathcal{P},\eta, \omega \right) $$ where the O(d, d) metric η is supplemented by an almost symplectic two-form ω.
Laurent Freidel +2 more
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Global dimension of dg algebras via compact silting objects
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We introduce a notion of global dimension for a triangulated category relative to a compact silting object. We prove that the finiteness of this dimension is an intrinsic property of the triangulated category itself and, therefore, independent of the choice of the silting object.
Panagiotis Kostas
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Modular Theory, Non-Commutative Geometry and Quantum Gravity
Symmetry, Integrability and Geometry: Methods and Applications, 2010 This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Wicharn Lewkeeratiyutkul +2 more
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Lorentz signature and twisted spectral triples
Journal of High Energy Physics, 2018 We show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We discuss the associated spectral action, both for fermions and bosons.
A. Devastato +3 more
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Non-commutative geometry, multiscalars, and the symbol map [PDF]
Nuclear Physics B - Proceedings Supplements, 1996 Starting from the concept of the universal exterior algebra in non-commutative differential geometry we construct differential forms on the quantum phase-space of an arbitrary system. They bear the same natural relationship to quantum dynamics which ordinary tensor fields have with respect to classical hamiltonian dynamics.
openaire +3 more sources
Mixed motives and linear forms in the Catalan constant
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
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