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An approach to Quantum Conformal Algebra

Carina Boyallian, Vanesa Meinardi

Abstract

We aim to explore if inside a quantum vertex algebras, we can find the right notion of a quantum conformal algebra.

An approach to Quantum Conformal Algebra

Abstract

We aim to explore if inside a quantum vertex algebras, we can find the right notion of a quantum conformal algebra.

Paper Structure

This paper contains 10 sections, 19 theorems, 104 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Calculus of formal distribution
  4. Conformal algebras and Field Algebras
  5. Braided Field Algebras
  6. On the structure of braided state-field corres-pon-den-ce
  7. Quantum conformal algebra
  8. Lie quantum conformal algebra associated with associative algebras of Zamolodchikov-Faddeev type
  9. Author's contributions
  10. Data availability

Key Result

Proposition 1

(cf. BK, Prop.2.7). Given $Y: V\otimes V \rightarrow V((z))$ satisfaying conditions (i) and (ii) above, we have:

Theorems & Definitions (32)

  • Proposition 1
  • Lemma 1
  • Theorem \oldthetheorem
  • Theorem \oldthetheorem
  • Lemma 2
  • Lemma 3
  • Proposition 2
  • Proposition 3
  • Lemma 4
  • proof
  • ...and 22 more