948 resultados para Chern-Simons Theories


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An introduction to and a partial review of supergravity theories is given, insisting on concepts and on some important technical aspects. Topics covered include elements of global supersymmetry, a derivation of the simplest N = 1 supergravity theory, a discussion of N =1 matter-supergravity couplings, of the scalar sector and of some simple models. Space-time is four-dimensional.

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We regularize compact and non-compact Abelian Chern–Simons–Maxwell theories on a spatial lattice using the Hamiltonian formulation. We consider a doubled theory with gauge fields living on a lattice and its dual lattice. The Hilbert space of the theory is a product of local Hilbert spaces, each associated with a link and the corresponding dual link. The two electric field operators associated with the link-pair do not commute. In the non-compact case with gauge group R, each local Hilbert space is analogous to the one of a charged “particle” moving in the link-pair group space R2 in a constant “magnetic” background field. In the compact case, the link-pair group space is a torus U(1)2 threaded by k units of quantized “magnetic” flux, with k being the level of the Chern–Simons theory. The holonomies of the torus U(1)2 give rise to two self-adjoint extension parameters, which form two non-dynamical background lattice gauge fields that explicitly break the manifest gauge symmetry from U(1) to Z(k). The local Hilbert space of a link-pair then decomposes into representations of a magnetic translation group. In the pure Chern–Simons limit of a large “photon” mass, this results in a Z(k)-symmetric variant of Kitaev’s toric code, self-adjointly extended by the two non-dynamical background lattice gauge fields. Electric charges on the original lattice and on the dual lattice obey mutually anyonic statistics with the statistics angle . Non-Abelian U(k) Berry gauge fields that arise from the self-adjoint extension parameters may be interesting in the context of quantum information processing.

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This congress proceedings volume includes all abstracts submitted to the 14th European Congress of Sport Psychology of the European Federation of Sport Psychology FEPSAC that have been accepted by the scientific evaluation committee. Content: six keynote lectures, Panteleimon ("Paddy") Ekkekakis: Escape from Cognitivism: Exercise as Hedonic Experience; Sergio Lara-Bercial and Cliff Mallett: Serial Winning Coaches – Vision, People and Environment; Kari Fasting: Sexual Harassment and Abuse in Sport – Implications for Sport Psychologists; Claudia Voelcker-Rehage: Benefits of Physical Activity and Fitness for Lifelong Motor and Cognitive Development – Brain and Behaviour; Nancy J. Cooke: Interactive Team Cognition: Focusing on Team Dynamics; Chris Harwood: Doing Sport Psychology? Critical Reflections as a Scientist-Practitioner. Abstracts of 11 invited symposia, 65 submitted symposia, 8 special sessions, and 5 poster sessions.

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We show that global properties of gauge groups can be understood as geometric properties in M-theory. Different wrappings of a system of N M5-branes on a torus reduce to four-dimensional theories with AN−1 gauge algebra and different unitary groups. The classical properties of the wrappings determine the global properties of the gauge theories without the need to impose any quantum conditions. We count the inequivalent wrappings as they fall into orbits of the modular group of the torus, which correspond to the S-duality orbits of the gauge theories.

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In this article we study subsystems SIDᵥ of the theory ID₁ in which fixed point induction is restricted to properly stratified formulas.

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The reference librarian's task is to translate the patron's question into one that can be answered with the library's resources. The first element of that task is to know what the patron wants; the second is to know what resources the library has and how to use them. Reference librarians must learn continuously throughout their careers, both because new resources become available, but also because patrons present questions requiring new resources. This article will focus on how to determine what kind of information the patron needs through the reference interview.

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Emanuel Bin-Gorion