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Showing 1 to 5 of 5 for “"Vertex algebras"”.

  1. Bicharacter Construction of Quantum Vertex Algebras

    … thesis is a study of the axiomatics of quantum vertex algebras based on the bicharacter construction suggested by R. Borcherds in [Bor01]. One of the goals is to use the ideas of [Bor01] to incorporate the examples of quantum vertex operators in the literature ([Jin91], [Jin95], [FR92], [FR97]), …

    uiuc Repository record for Bicharacter Construction of Quantum Vertex Algebras (opens in a new tab)

  2. Super symmetric vertex algebras and supercurves

    … study the structure of SUSY Lie conformal and vertex algebras. This leads to effective rules for computations with superfields. Given a strongly conformal SUSY vertex algebra V and a supercurve X, we construct a vector bundle [ ... ] on X, the fiber of which, is isomorphic to V. Moreover, the …

    mit Repository record for Super symmetric vertex algebras and supercurves (opens in a new tab)

  3. Vertex algebras generated by primary fields of low conformal weight

    We classify a certain class of vertex algebras, finitely generated by a Virasoro field and even (resp. odd) primary fields of conformal weight 1 (resp 3/2). This is the first interesting case to consider when looking at finitely generated vertex algebras containing a Virasoro field (the most …

    mit Repository record for Vertex algebras generated by primary fields of low conformal weight (opens in a new tab)

  4. Building Blocks for W-Algebras of Classical Types

    <p>The universal 2-parameter vertex algebra <em>W</em><sub>∞</sub> of type <em>W</em>(2, 3, 4; . . . ) serves as a classifying object for vertex algebras of type <em>W</em>(2, 3, . . . ,<em>N</em>) for some <em>N</em> in the sense that under mild hypothesis, all such vertex algebras arise as …

    denver Repository record for Building Blocks for W-Algebras of Classical Types (opens in a new tab)

  5. Geometry of Affine Actions

    … cell a Hamiltonian structure. This leads to a vertex algebra structure, and from the n&d14;- -action, a vertex algebra module structure, on each cell. We establish the compatibility of these structures across cells to show that H -\FL2 is a vertex variety, i.e. a variety whose structure sheaf …

    uiuc Repository record for Geometry of Affine Actions (opens in a new tab)