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Geometric and algebraic approaches to quantum theory
Nuclear Physics B, 2021 We show how to formulate physical theory taking as a starting point the set of states (geometric approach). We discuss the relation of this formulation to the conventional approach to classical and quantum mechanics and the theory of complex systems. The
A. Schwarz
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The Problems of Dimension Four, and Some Ramifications
Mathematics, 2023 In this short note, I present a very quick review of the peculiarities of dimension four in geometric topology. I consider, in particular, the role of geometric simple connectivity (which means handle decomposition without handles of index one) for both ...
Valentin Poénaru
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3D geometric moment invariants from the point of view of the classical invariant theory
Математичні Студії, 2023 The aim of this paper is to clear up the problem of the connection between the 3D geometric moments invariants and the invariant theory, considering a problem of describing of the 3D geometric moments invariants as a problem of the classical invariant ...
L. P. Bedratyuk, A. I. Bedratyuk
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Generalized Permutants and Graph GENEOs
Machine Learning and Knowledge Extraction, 2023 This paper is part of a line of research devoted to developing a compositional and geometric theory of Group Equivariant Non-Expansive Operators (GENEOs) for Geometric Deep Learning. It has two objectives. The first objective is to generalize the notions
Faraz Ahmad +2 more
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Hamiltonian actions of unipotent groups on compact K\"ahler manifolds [PDF]
Épijournal de Géométrie Algébrique, 2018 We study meromorphic actions of unipotent complex Lie groups on compact K\"ahler manifolds using moment map techniques. We introduce natural stability conditions and show that sets of semistable points are Zariski-open and admit geometric quotients that ...
Daniel Greb, Christian Miebach
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2-Group symmetries and M-theory
SciPost Physics, 2022 Quantum Field Theories engineered in M-theory can have 2-group symmetries, mixing 0-form and 1-form symmetry backgrounds in non-trivial ways. In this paper we develop methods for determining the 2-group structure from the boundary geometry of the M ...
Michele Del Zotto, Iñaki García Etxebarria, Sakura Schäfer-Nameki
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Circuit complexity for Carrollian Conformal (BMS) field theories
Journal of High Energy Physics, 2023 We systematically explore the construction of Nielsen’s circuit complexity to a non-Lorentzian field theory keeping in mind its connection with flat holography.
Arpan Bhattacharyya, Poulami Nandi
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Notices of the American Mathematical Society, 2022 This article is intended to give an idea about how the topology and geometry of a space influences the algebraic structure of groups that act on it and how this can be used to investigate groups.
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Automatika, 2021 We address several problems of coordination and consensus on $ SO(3) $ and $ S^3 $ that can be formulated as minimization problems on these Lie groups.
Aladin Crnkić +3 more
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Siegel modular flavor group and CP from string theory
Physics Letters B, 2021 We derive the potential modular symmetries of heterotic string theory. For a toroidal compactification with Wilson line modulus, we obtain the Siegel modular group Sp(4,Z) that includes the modular symmetries SL(2,Z)T and SL(2,Z)U (of the “geometric ...
Alexander Baur +4 more
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