640,851 research outputs found

    Lagrangians with electric and magnetic charges of N=2 supersymmetric gauge theories

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    General Lagrangians are constructed for N=2 supersymmetric gauge theories in four space-time dimensions involving gauge groups with (non-abelian) electric and magnetic charges. The charges induce a scalar potential, which, when the charges are regarded as spurionic quantities, is invariant under electric/magnetic duality. The resulting theories are especially relevant for supergravity, but details of the extension to local supersymmetry will be discussed elsewhere. The results include the coupling to hypermultiplets. Without the latter, it is demonstrated how an off-shell representation can be constructed based on vector and tensor supermultiplets.Comment: 34 pages, LaTe

    Generalized gaugings and the field-antifield formalism

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    We discuss the algebra of general gauge theories that are described by the embedding tensor formalism. We compare the gauge transformations dependent and independent of an invariant action, and argue that the generic transformations lead to an infinitely reducible algebra. We connect the embedding tensor formalism to the field-antifield (or Batalin-Vilkovisky) formalism, which is the most general formulation known for general gauge theories and their quantization. The structure equations of the embedding tensor formalism are included in the master equation of the field-antifield formalism.Comment: 42 pages; v2: some clarifications and 1 reference added; version to be published in JHE

    One-count memory circuit prevents machine mode interaction

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    One-count memory logic circuit used with electromechanical counter-printer machines operates in either count or print mode. The circuit advances the counter when the machine is in the count mode and provides storage for the count pulse when the machine is in the print mode

    Critical Ising model and spanning trees partition functions

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    We prove that the squared partition function of the two-dimensional critical Ising model defined on a finite, isoradial graph G=(V,E)G=(V,E), is equal to 2V2^{|V|} times the partition function of spanning trees of the graph Gˉ\bar{G}, where Gˉ\bar{G} is the graph GG extended along the boundary; edges of GG are assigned Kenyon's [Ken02] critical weights, and boundary edges of Gˉ\bar{G} have specific weights. The proof is an explicit construction, providing a new relation on the level of configurations between two classical, critical models of statistical mechanics.Comment: 38 pages, 26 figure
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