Results 11 to 20 of about 166,239,348 (277)
Representation Theory for Subfactors, $${\lambda}$$-Lattices and C*-Tensor Categories [PDF]
Communications in Mathematical Physics, 2015 We develop a representation theory for $\lambda$-lattices, arising as standard invariants of subfactors, and for rigid C*-tensor categories, including a definition of their universal C*-algebra. We use this to give a systematic account of approximation and rigidity properties for subfactors and tensor categories, like (weak) amenability, the Haagerup ...
Popa, Sorin, Vaes, Stefaan
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Searching for continuous phase transitions in 5D SU(2) lattice gauge theory
Journal of High Energy Physics, 2021 We study the phase diagram of 5-dimensional SU(2) Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the 4 + ϵ expansion.
Adrien Florio +3 more
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Big Data Mining: a Computer-Oriented Method of Working with the Semantics of Assertions
Современные информационные технологии и IT-образование, 2021 When analyzing large amounts of data with the involvement of experts of subject domain, the problem of knowledge representation arises, this problem lies in describing the semantic content of judgments with their subsequent formalization, automated ...
Galina Goremykina
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Path integral for the loop representation of lattice gauge theories [PDF]
Physical Review D, 1996 We show how the Hamiltonian lattice loop representation can be cast straightforwardly in the path integral formalism. The procedure is general for any gauge theory. Here we present in detail the simplest case: pure compact QED. We also analyze the non-Abelian Yang-Mills theory.
Aroca, J. M., Fort, H., Gambini, R.
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SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
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Using situation lattices in sensor analysis [PDF]
, 2009 Highly sensorised systems present two parallel challenges: how to design a sensor suite that can efficiently and cost-effectively support the needs of given services; and to extract the semantically relevant interpretations, or "situations", from the ...
Ye, Juan +8 more
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Graphical Models in Reconstructability Analysis and Bayesian Networks
Entropy, 2021 Reconstructability Analysis (RA) and Bayesian Networks (BN) are both probabilistic graphical modeling methodologies used in machine learning and artificial intelligence.
Marcus Harris, Martin Zwick
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Quantum Toda lattice: a challenge for representation theory
Journal of Physics: Conference Series, 2023 Abstract Quantum Toda lattice may solved by means of the Representation Theory of semisimple Lie groups, or alternatively by using the technique of the Quantum Inverse Scattering Method. A comparison of the two approaches sheds a new light on Representation Theory and leads to a number of challenging questions.
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Thermodynamics of three-dimensional Kitaev quantum spin liquids via tensor networks
Physical Review Research, 2021 We study the 3D Kitaev and Kitaev-Heisenberg models, respectively, on the hyperhoneycomb and hyperoctagon lattices, both at zero and finite-temperature, in the thermodynamic limit.
Saeed S. Jahromi +2 more
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U(1) lattice gauge theory in the electric-field representation [PDF]
Physical Review D, 1986 The Hamiltonian formulation of U(1) lattice gauge theory is studied in a basis of eigenstates of the electric-field operator. The guided-random-walk algorithm of Chin et al. is transcribed to the electric-field basis, and exact ground-state properties of the theory in three space dimensions are calculated.
Koonin, S. E. +2 more
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