Analysis of a q‐Deformed Covariant Algebra With the Fock‐Tani Formalism
Sign Up to like & getrecommendations! Published in 2025 at "Astronomische Nachrichten"
DOI: 10.1002/asna.20250009
Abstract: Motivated by the difficulties in the quantization of spacetime, we study a q‐deformed covariant algebra that imposes minimum position and momentum measurement uncertainties. We do this by invoking the Fock‐Tani formalism, mainly used in atomic… read more here.
Keywords: tani formalism; deformed covariant; algebra; fock tani ... See more keywords
Gauge fields and four interactions in the trigintaduonion spaces
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DOI: 10.1002/mma.10345
Abstract: The paper aims to apply the trigintaduonion spaces to explore the physical properties of four interactions simultaneously, including the electromagnetic fields, gravitational fields, weak nuclear fields, and strong nuclear fields. J. C. Maxwell first applied… read more here.
Keywords: field; strong nuclear; algebra; nuclear fields ... See more keywords
The Rota‐Baxter Algebra Structures on Split Semiquaternion Algebra
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DOI: 10.1002/mma.11218
Abstract: In this paper, we shall describe all the Rota‐Baxter operators with any weight on split semiquaternion algebra. Firstly, we give the matrix characterization of the Rota‐Baxter operator on split semiquaternion algebra. Then we give the… read more here.
Keywords: split semiquaternion; semiquaternion algebra; rota baxter; algebra ... See more keywords
Invariant Characterization of Scalar Second‐Order ODEs That Admit Three Point Symmetry Lie Algebra via Cartan's Equivalence Method
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DOI: 10.1002/mma.70162
Abstract: Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing… read more here.
Keywords: method; scalar second; cartan equivalence; point ... See more keywords
Real‐time Nonlinear Model Predictive Control of a Robotic Arm Using Spatial Operator Algebra Theory
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DOI: 10.1002/rob.22514
Abstract: Nonlinear model predictive control (NMPC) has inherent challenges, such as high computational burden, nonconvex optimization, and the necessity of powerful and fast processors with large memory for real‐time robotics. In this study, a new NMPC… read more here.
Keywords: nonlinear model; model predictive; algebra; predictive control ... See more keywords
Holographic chiral algebra: supersymmetry, infinite Ward identities, and EFTs
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2022)113
Abstract: Celestial holography promisingly reformulates the scattering amplitude holographically in terms of celestial conformal field theory living at null infinity. Recently, an infinite-dimensional symmetry algebra was discovered in Einstein-Yang-Mills theory. The starting point in the derivation… read more here.
Keywords: algebra; symmetry; sub leading; ward identities ... See more keywords
Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom
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DOI: 10.1007/jhep01(2025)019
Abstract: For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of the… read more here.
Keywords: matrix; algebra; wave packet; geometry ... See more keywords
Rational Ruijsenaars-Schneider model with cosmological constant
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DOI: 10.1007/jhep01(2025)110
Abstract: The Ruijsenaars-Schneider models are integrable dynamical realizations of the Poincaré group in 1 + 1 dimensions, which reduce to the Calogero and Sutherland systems in the nonrelativistic limit. In this work, a possibility to construct… read more here.
Keywords: schneider model; ruijsenaars schneider; algebra; rational ruijsenaars ... See more keywords
Plane partition realization of (web of) W$$ \mathcal{W} $$-algebra minimal models
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DOI: 10.1007/jhep02(2019)050
Abstract: A bstractRecently, Gaiotto and Rapčák (GR) proposed a new family of the vertex operator algebra (VOA) as the symmetry appearing at an intersection of five-branes to which they refer as Y algebra. Procházka and Rapčák,… read more here.
Keywords: partition realization; web mathcal; realization web; algebra ... See more keywords
Equivariant U(N) Verlinde algebra from Bethe/gauge correspondence
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DOI: 10.1007/jhep02(2019)097
Abstract: A bstractWe compute the topological partition function (twisted index) of N$$ \mathcal{N} $$ = 2 U(N) Chern-Simons theory with an adjoint chiral multiplet on Σg × S1. The localization technique shows that the underlying Frobenius… read more here.
Keywords: equivariant verlinde; verlinde algebra; bethe gauge; algebra ... See more keywords
Generalised symmetries and state-operator correspondence for nonlocal operators
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DOI: 10.1007/jhep02(2025)061
Abstract: We provide a one-to-one correspondence between line operators and states in four-dimensional CFTs with continuous 1-form symmetries. In analogy with 0-form symmetries in two dimensions, such CFTs have a free photon realisation and enjoy an… read more here.
Keywords: operator; algebra; generalised symmetries; correspondence ... See more keywords