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Showing 1 to 5 of 5 for “"Chiral Algebra"”.
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2D Chiral Algebras from Koszul Duality & Associativity
… used to completely determine certain celestial chiral algebras, characterizing collinear splitting functions not just at tree-level but to arbitrary loop order. To apply this technique, and indeed for the celestial chiral algebra to exist, the corresponding 4d massless theory must admit a local …
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Bicharacter Construction of Quantum Vertex Algebras
… 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]), in …
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Super symmetric vertex algebras and supercurves
… 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 …
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Fusion of Perturbed Defects in Conformal Field Theory
<p>The infinite-dimensional symmetry algebra of a conformal field theory (CFT), the Virasoro algebra, is generated by the holomorphic and anti-holomorphic part of the stress tensor. Besides such 'chiral symmetries' the CFT also has an integrable symmetry, that is, infinite families of commuting …
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Celestial Chiral Algebras and Self-Dual Gravity
… discovery of new infinite dimensional symmetry algebras of tree-level amplitudes in flat space closely related to $w_{1+\infty}$. This thesis studies these celestial chiral algebras in the light of twistor theory and derives tree-level deformations thereof induced by non-trivial background …